Online ISSN
1751-8652
Print ISSN
1751-8644
IET Control Theory & Applications
Volume 5, Issue 2, 20 January 2011
Volumes & issues:
Volume 5, Issue 2
20 January 2011
-
- Author(s): S. Ma ; C. Zhang ; S. Zhu
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 255 –262
- DOI: 10.1049/iet-cta.2010.0057
- Type: Article
- + Show details - Hide details
-
p.
255
–262
(8)
In this study, the robust stochastic stability problem for discrete-time uncertain singular Markov jump systems with actuator saturation is considered. A sufficient condition that guarantees that the discrete-time singular Markov jump systems with actuator saturation is regular, causal and stochastically stable is established. With this condition, for full and partial knowledge of transition probabilities cases, the design of robust state feedback controller is developed based on linear matrix inequality (LMI) approach. A numerical example is given to illustrate the effectiveness of the proposed methods. - Author(s): M. Veronesi and A. Visioli
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 263 –270
- DOI: 10.1049/iet-cta.2010.0082
- Type: Article
- + Show details - Hide details
-
p.
263
–270
(8)
A new automatic tuning method for cascade control systems is presented. The technique consists in estimating the parameters of the primary and secondary process simultaneously by evaluating a closed-loop set-point step response. Then, based on the estimated model, the two proportional-integral-derivative controllers are tuned by applying an internal model control strategy. A performance assessment strategy can also be implemented in this context. Both self-regulating and non-self-regulating processes are considered. Simulation results show the effectiveness of the methodology. - Author(s): Q. Hu ; B. Xiao ; M.I. Friswell
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 271 –282
- DOI: 10.1049/iet-cta.2009.0628
- Type: Article
- + Show details - Hide details
-
p.
271
–282
(12)
This study investigates the robust fault-tolerant attitude control of an orbiting spacecraft with a combination of unknown actuator failure, input saturation and external disturbances. A fault-tolerant control scheme based on variable structure control is developed that is robust to the partial loss of actuator effectiveness, where the actuators experience a reduced actuation but are still active. The results are then extended to the case in which some of the actuators fail completely, although some redundancy in actuation is assumed. In contrast to traditional fault-tolerant control methods, the proposed controller does not require knowledge of the actuator faults and is implemented without explicit fault detection, separation and accommodation processes. Moreover, the designed controller rigorously enforces actuator saturation constraints. The associated stability proof is constructive and develops a candidate Lyapunov function that shows the attitude and the angular velocities converge asymptotically to zero. Simulation studies are used to evaluate the closed-loop performance of the proposed control solution and illustrate its robustness to external disturbances, unknown actuator faults and even input saturation. - Author(s): H. Li ; Z. Sun ; H. Liu ; F. Sun ; J. Deng
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 283 –290
- DOI: 10.1049/iet-cta.2009.0547
- Type: Article
- + Show details - Hide details
-
p.
283
–290
(8)
This study addresses the stabilisation problem for a class of networked control systems (NCSs) with time delays and packet losses. Motivated by the fact that static state feedback control shows offset in the plant output when non-zero disturbance acts on NCSs, the proposed method emphasises the implementation issue and employs state feedback integral control to achieve non-zero disturbance rejection and zero steady-state error. The resulting closed-loop system is transformed into a discrete-time switched system, and the stability conditions are derived in terms of linear matrix inequalities (LMIs). The corresponding stabilising controller design technique is also developed based on the stability conditions. Simulation and experimental examples are given to illustrate the effectiveness of the obtained results. - Author(s): Y. Lou ; S. Cong ; J. Yang ; S. Kuang
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 291 –298
- DOI: 10.1049/iet-cta.2009.0248
- Type: Article
- + Show details - Hide details
-
p.
291
–298
(8)
The state transfer of closed quantum systems in the interaction picture is studied. The convergent problem encountered in designing control laws based on the Lyapunov method is solved by the well constructed observable operator and a path programming control strategy. It is proved that the condition for the target state being a stable point in the Lyapunov's sense is the coherent vectors of the observable operator and the target state must be in opposite directions. For the local optimisation limitation of the Lyapunov-based method, the path programming control strategy is proposed, which is used to change the distribution of stationary points or choose a transition path by appropriately selecting intermediate target states. Comparative numerical system simulation experiments are implemented on a four-level quantum system and the experimental results are analysed. - Author(s): M.J. Khosrowjerdi
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 299 –307
- DOI: 10.1049/iet-cta.2009.0556
- Type: Article
- + Show details - Hide details
-
p.
299
–307
(9)
This study is concerned with the design of fault-tolerant controller for Lipschitz non-linear continuous-time systems in the presence of disturbances and noises. The simultaneous estimation of actuator faults and states is formulated as a mixed ℋ2/ℋ∞ control problem. The fault-tolerant controller is then designed to compensate for the effect of the faults by stabilising the closed-loop system and guaranteeing a prescribed performance level in the presence of disturbances. This design problem is reduced to a linear matrix inequality feasibility problem and a constructive algorithm is proposed. Two examples are presented to demonstrate the performance of the proposed fault-tolerant control scheme. - Author(s): G. Zheng and D. Boutat
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 308 –314
- DOI: 10.1049/iet-cta.2010.0078
- Type: Article
- + Show details - Hide details
-
p.
308
–314
(7)
This study treats synchronisation problem of chaotic systems from a novel point of view, by using a change of coordinates to transform chaotic systems into a common canonical form, for which the synchronisation problem can be easily studied via reduced observer. Sufficient and necessary conditions are given and the proposed method is illustrated by the synchronisation of Rössler chaotic system. - Author(s): Z. Ding
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 315 –322
- DOI: 10.1049/iet-cta.2009.0523
- Type: Article
- + Show details - Hide details
-
p.
315
–322
(8)
In this study, differential stability is introduced for non-linear systems, and this concept is further exploited in reduced-order observer design for non-linear systems with non-linearities of unmeasured state variables, a more general class of non-linear systems than the systems with linear observer errors. It has been shown that if the dynamics of unmeasured state variables under a state transformation is differentially stable, a reduced-order observer can be designed to produce asymptotically convergent estimates of the unmeasured state variables. A systematic design method is then introduced for a class of multi-output non-linear systems. For such a system, a non-linear term of the unmeasured state variables enter the system through a coupling matrix. It is found that a reduced-order observer can be designed if the linear part with the coupling matrix as the input matrix has no unstable invariant zeros. A further exploitation is presented for a class of single-output non-linear systems with non-linearity of unmeasured state variables. In this case, the coupling vector is allowed to be a vector field which depends on the system output. - Author(s): P.M. Esfahani ; F. Farokhi ; M. Karimi-Ghartemani
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 323 –333
- DOI: 10.1049/iet-cta.2009.0242
- Type: Article
- + Show details - Hide details
-
p.
323
–333
(11)
This paper addresses the problem of optimal state-feedback design for a class of non-linear systems. The method is applicable to all non-linear systems which can be linearised using the method of state-feedback linearisation. The alternative is to use linear optimisation techniques for the linearised equations, but then there is no guarantee that the original non-linear system behaves optimally. The authors use feedback linearisation technique to linearise the system and then design a state feedback for the feedback-linearised system in such a way that it ensures optimal performance of the original non-linear system. The method cannot ensure global optimality of the solution but the global stability of the non-linear system is ensured. The proposed method can optimise any arbitrary smooth function of states and input, including the conventional quadratic form. The proposed method can also optimise the feedback linearising transformation. The method is successfully applied to control the design of a flexible joint dynamic and the results are discussed. Compared with the conventional linear quadratic regulator (LQR) technique, the minimum value of cost function is significantly reduced by the proposed method. - Author(s): T. Hou ; W. Zhang ; H. Ma
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 334 –340
- DOI: 10.1049/iet-cta.2009.0655
- Type: Article
- + Show details - Hide details
-
p.
334
–340
(7)
As a supplement for stochastic stability and stabilisation, new notions called ‘essential instability’ and ‘essential destabilisation’ are introduced. Moreover, necessary and sufficient conditions for essential instability and essential destabilisation are given. - Author(s): B. Rahmani ; A.H.D. Markazi ; P. Maleky Nezhad
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 341 –350
- DOI: 10.1049/iet-cta.2010.0022
- Type: Article
- + Show details - Hide details
-
p.
341
–350
(10)
A new control method for network-based control systems, with guaranteed closed-loop stability, is proposed. The method substantially enhances the conventional networked model-based predictive control (NMBPC) schemes. In conventional NMBPC methods, associated with a pre-specified range of possible time delays, a vector of stabilising control signals is determined and transmitted to the plant side of the network, where, based on the actually occurred time delay, just one entry of the control vector is selected and applied to the plant. In practice, stability issues may arise when the network time delay is not small enough. A modified method, using the plant-input mapping (PIM) discretisation technique, with the possibility of guaranteeing the closed-loop stability is introduced. In order to alleviate the deficiency of some existing transfer function-based methods, which implicitly assume a non-realistic zero initial condition at the outset of every sampling instant, a state-space representation is proposed. Simulation studies on well-known benchmark problems demonstrate the effectiveness of the proposed PIM-based NMBPC method. - Author(s): Y.-C. Chang and H.-M. Yen
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 351 –363
- DOI: 10.1049/iet-cta.2010.0166
- Type: Article
- + Show details - Hide details
-
p.
351
–363
(13)
This article addresses the problem of designing robust tracking controls for a class of robotic manipulators with flexible joints that use only position measurements. This class of flexible-joint robots is perturbed by time-varying parametric uncertainties and external disturbances. A reduced-order observer is constructed to estimate the velocity signals, and then an observer-based robust position feedback tracking controller without velocity measurements will be developed such that all the states and signals of the closed-loop system are bounded and the trajectory tracking errors can be made as small as possible. Consequently, the robust tracking control scheme developed here possesses the properties of computational simplicity and easy implementation. Finally, simulation results are presented to demonstrate the effectiveness of the proposed control algorithms. - Author(s): H. Rasmussen and L.F.S. Larsen
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 364 –378
- DOI: 10.1049/iet-cta.2009.0156
- Type: Article
- + Show details - Hide details
-
p.
364
–378
(15)
In a refrigeration process heat is absorbed in an evaporator by evaporating a flow of liquid refrigerant at low pressure and temperature. Controlling the evaporator inlet valve and the compressor in such a way that a high degree of liquid filling in the evaporator is obtained at all compressor capacities ensures a high energy efficiency. The level of liquid filling is indirectly measured by the superheat. Introduction of variable-speed compressors and electronic expansion valves enables the use of more sophisticated control algorithms, giving a higher degree of performance and just as important are capable of adapting to a variety of systems. This study proposes a novel method for superheat and capacity control of refrigeration systems, namely by controlling the superheat by the compressor speed and capacity by the refrigerant flow. A new low-order non-linear model of the evaporator is developed and used in a backstepping design of a non-linear adaptive controller. The stability of the proposed method is validated theoretically by Lyapunov analysis and experimental results show the performance of the system for a wide range of operating points. The method is compared with a conventional method based on a thermostatic superheat controller. - Author(s): D.H. Owens and S. Liu
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 379 –388
- DOI: 10.1049/iet-cta.2009.0320
- Type: Article
- + Show details - Hide details
-
p.
379
–388
(10)
Fixed parameter iterative learning control (ILC) for linear-time invariant, single-input single-output systems subject to output noise is analysed with the intent of predicting the expectation of the underlying ‘noise-free’ mean square error (Euclidean norm) of the time series on each iteration. Explicit formulae are obtained in terms of the ‘lifted’ matrix models of the plant. Computational experiments are used to confirm the correctness of the proposed properties. Finally, frequency domain formulae are derived to provide insight into links between plant characteristics, noise spectra and other ILC parameters, and illustrated by application to the inverse-model-based ILC algorithm.
Robust stability for discrete-time uncertain singular Markov jump systems with actuator saturation
Simultaneous closed-loop automatic tuning method for cascade controllers
Robust fault-tolerant control for spacecraft attitude stabilisation subject to input saturation
State feedback integral control of networked control systems with external disturbance
Path programming control strategy of quantum state transfer
Mixed ℋ2/ℋ∞ approach to fault-tolerant controller design for Lipschitz non-linear systems
Synchronisation of chaotic systems via reduced observers
Differential stability and design of reduced-order observers for non-linear systems
Optimal state-feedback design for non-linear feedback-linearisable systems
Essential instability and essential destabilisation of linear stochastic systems
Plant input-mapping-based predictive control of systems through band-limited networks
Design of a robust position feedback tracking controller for flexible-joint robots
Non-linear and adaptive control of a refrigeration system
Iterative learning control: quantifying the effect of output noise
-
- Author(s): J.A. Marshall and D. Tsai
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 389 –396
- DOI: 10.1049/iet-cta.2009.0622
- Type: Article
- + Show details - Hide details
-
p.
389
–396
(8)
The question of how to prescribe desired global behaviours for a system of interconnected agents through the application of only simple and local interactions has both theoretical and practical significance. In recent years, numerous papers have appeared in the control systems literature on the reconfiguration and stabilisation of multivehicle formations. This study describes a unique kind of asymptotic behaviour; namely, stable periodic formations. It is shown how these can be generated when multiple non-honolonomic vehicles pursue one another under a cyclic interconnection topology known in the mathematics literature as ‘cyclic pursuit’. Herein, particular attention is provided to the case when the number of vehicles is even. Broadly put, our objective is to introduce a broadening of the study of multi-agent control that includes not only static but also periodic or, more generally, dynamic formations. - Author(s): S.-P. Hsu
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 397 –401
- DOI: 10.1049/iet-cta.2010.0101
- Type: Article
- + Show details - Hide details
-
p.
397
–401
(5)
This study introduces the notion of safety for the controlled Markov chains in the continuous-time horizon. The concept is a non-trivial extension of safety control for stochastic systems modelled as discrete-time Markov decision processes, where the safety means that the probability distributions of the system states will not visit the given forbidden set at any time. In this paper study a unit-interval-valued vector that serves as an upper bound on the state probability distribution vector characterises the forbidden set. A probability distribution is then called safe if it does not exceed the upper bound. Under mild conditions the author derives two results: (i) the necessary and sufficient conditions that guarantee the all-time safety of the probability distributions if the starting distribution is safe, and (ii) the characterisation of the supreme set of safe initial probability vectors that remain safe as time passes. In particular, study the paper identifies an upper bound on time and shows that if a distribution is always safe before that time, the distribution is safe at all times. Numerical examples are provided to illustrate the two results. - Author(s): N. Cai ; J.-X. Xi ; Y.-S. Zhong
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 402 –408
- DOI: 10.1049/iet-cta.2009.0589
- Type: Article
- + Show details - Hide details
-
p.
402
–408
(7)
In this study the swarm stability problem of high-order linear time-invariant (LTI) swarm systems with directed graph topology is dealt with. Consensus can be regarded as a specific type of swarm stability problem. Necessary and sufficient conditions for both swarm stability and consensus are presented. These conditions depend on the graph topology, the dynamics of agents and the interactions among the neighbours. Simulation instances are shown to illustrate the theoretical results. - Author(s): J.-Y. Su ; L. Tie ; X.-H. Wang ; K.-Y. Cai
- Source: IET Control Theory & Applications, Volume 5, Issue 2, p. 409 –419
- DOI: 10.1049/iet-cta.2009.0472
- Type: Article
- + Show details - Hide details
-
p.
409
–419
(11)
In this paper, an approach to design state-feedback gain is proposed for a class of relay control systems. The resulting controller can drive states of the systems to desired limit cycles. The design consists of two steps. First, the form of the state-feedback gain is proposed. It is proved that each gain in the proposed form can guarantee the existence and stability of a limit cycle. Then, by an exact method, the value of state-feedback gain is chosen to obtain the limit cycle with prescribed characteristics. In order to demonstrate the effectiveness, the proposed approach is applied to the attitude control of a torpedo. Simulation results show that the designed relay controller drives the state of the torpedo to a limit cycle with desired amplitude and frequency.
Periodic formations of multivehicle systems
Continuous-time controlled Markov chains with safety upper bound
Swarm stability of high-order linear time-invariant swarm systems
State-feedback gain design for a class of relay control systems
Most viewed content for this Journal
Article
content/journals/iet-cta
Journal
5
Most cited content for this Journal
-
Finite-time stability of interconnected impulsive switched systems
- Author(s): Guangdeng Zong ; Hangli Ren ; Linlin Hou
- Type: Article
-
Event-based security control for discrete-time stochastic systems
- Author(s): Derui Ding ; Zidong Wang ; Guoliang Wei ; Fuad E. Alsaadi
- Type: Article
-
Survey on semi-tensor product method with its applications in logical networks and other finite-valued systems
- Author(s): Jianquan Lu ; Haitao Li ; Yang Liu ; Fangfei Li
- Type: Article
-
Optimal control for networked control systems with disturbances: a delta operator approach
- Author(s): Yuan Yuan ; Huanhuan Yuan ; Zidong Wang ; Lei Guo ; Hongjiu Yang
- Type: Article
-
Filtering-based iterative identification for multivariable systems
- Author(s): Yanjiao Wang and Feng Ding
- Type: Article
