Online ISSN
1751-8652
Print ISSN
1751-8644
IET Control Theory & Applications
Volume 6, Issue 16, 1 November 2012
Volumes & issues:
Volume 6, Issue 16
1 November 2012
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- Author(s): L. Zhang ; J. Feng ; J. Yao
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2477 –2484
- DOI: 10.1049/iet-cta.2012.0362
- Type: Article
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The controllability and observability are investigated for a class of switched Boolean control networks (SBCNs). Using semi-tensor product of matrices, the dynamics of an SBCN can be transformed into an algebraic form. The model-input-state (MIS) matrix of an SBCN is introduced and studied for the first time. This matrix contains complete information of the MIS mapping. A necessary and sufficient condition for the controllability of SBCN is obtained. The corresponding control and switching law, which drive a point to a given reachable point are designed. A sufficient condition for the observability of an SBCN is given. Moreover, under the assumption of controllability, one necessary and sufficient condition is derived for the observability. - Author(s): M.S. Mahmoud and M.F. Emzir
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2485 –2492
- DOI: 10.1049/iet-cta.2012.0323
- Type: Article
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In this study, the control design problem of double-pinion-type electric power assist steering (EPAS) is carefully examined. Based on a Lagrangian-based dynamical model, an optimal control approach with unknown input is formulated thereby eliminating the need for torque sensor. A new controller is developed using combination of non-linear assist curve, unknown-input estimator (UIE) and linear quadratic integral theory. It has been established that the estimation of the state, and unknown input using UIE yields a good estimate with performance compared with the well-known Kalman estimator. It is further shown that the resulting closed-loop response is able to track non-linear assist curve for different velocity. This reveals a salient feature, that is, controlling an EPAS system can be done using only single constant gain. - Author(s): X. Chen and F. Hao
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2493 –2498
- DOI: 10.1049/iet-cta.2011.0535
- Type: Article
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In this study, the event-triggered average consensus control for discrete-time multi-agent systems (MASs) is investigated. Based on a Lyapunov function, a sufficient condition is derived to give an event condition, which is designed based on the measurement error and the disagreement vector. The sufficient condition, described in terms of a linear matrix inequality (LMI), is easily solved by available LMI toolbox. Under this event condition, the event-triggered MAS reaches average consensus. Furthermore, the results are extended to the self-triggered consensus control, where the next task release time can be decided depending on the current sampled data. In addition, a certain restriction on the event condition is proposed in order to avoid Zeno-behaviour. Finally, two simulation examples illustrate the effectiveness of the theoretical results. - Author(s): L. Guo ; X. Nian ; Y. Zhao ; Z. Duan
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2499 –2508
- DOI: 10.1049/iet-cta.2012.0467
- Type: Article
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This study investigates the cluster synchronisation problem of complex networks with each node being a Lur’e system. Some criteria for cluster synchronisation are presented by using a local linear control strategy. According to Lyapunov stability theory, sufficient conditions are first established to realise cluster synchronisation of the Lur’e dynamical networks. Then, a sufficient condition in the frequency domain is also formulated in the framework of the absolute stability theory. The notion of the cluster-synchronised region is introduced, and some conditions guaranteeing the cluster-synchronised region are derived. Furthermore, the cluster synchronisation in the Lur’e networks with time-varying delay is considered. Finally, some numerical examples illustrate the effectiveness of the theoretical results. - Author(s): P. Deshpande ; P.P. Menon ; C. Edwards ; I. Postlethwaite
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2509 –2517
- DOI: 10.1049/iet-cta.2011.0582
- Type: Article
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2509
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In this study, a collection of agents performing a shared task making use of relative information communicated over an information network is considered. A two-step control design procedure for distributed control of such systems is proposed. The control law is guaranteed to provide a certain level of H2 performance at a network level. An analysis of the proposed control law in the presence of delays in the relative information is carried out to obtain a bound on the maximum delay possible. - Author(s): S. Song ; S. Ma ; C. Zhang
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2518 –2527
- DOI: 10.1049/iet-cta.2012.0479
- Type: Article
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The stability and robust state feedback stabilisation problems for a class of non-linear discrete-time descriptor Markov jump systems with parameter uncertainties are investigated. The non-linear function satisfies a quadratic constraint. First, based on Lyapunov theory and the implicit function theorem, a linear matrix inequality (LMI) sufficient condition is developed, which guarantees that the non-linear discrete-time descriptor Markov jump systems are regular, causal, and have unique solution in a neighbourhood of the origin, and are stochastically stable. With this condition, another LMI condition is developed based on the singular value decomposition approach, which guarantees that the systems are regular, causal, have unique solution in a neighbourhood of the origin, and are stochastically stable. Then, the design method of robust state feedback controllers is given. Last, numerical examples are provided to illustrate the effectiveness of the proposed methods. - Author(s): J. de Jesús Rubio ; M. Figueroa ; J.H. Pérez Cruz ; F.J. Bejarano
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2528 –2537
- DOI: 10.1049/iet-cta.2011.0561
- Type: Article
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This study presents two methods to solve the disturbance rejection problem: the structure at infinity control and geometric approach control. The main result of this study is although the two methods are different, in both cases if the problem has a solution, the transfer function of the outputs and the disturbances is null. Both methods are applied in a mechanical system and a thermal system showing a good performance. - Author(s): R. Jaberzadeh Ansari ; M. Zareinejad ; S.M. Rezaei ; K. Baghestan ; N. Sarli
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2538 –2548
- DOI: 10.1049/iet-cta.2011.0446
- Type: Article
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This study is concerned with interaction in multi-user/cooperative haptic virtual environments. In such systems, users can haptically interact with a shared virtual world from numerous workstations over an Ethernet local area network. Characteristics of communication channels, such as delay, jitter and packet loss, can potentially investigate undesirable oscillations/instability. Passivity as a benchmark for stability, specifically in the stability analysis of coupled systems like teleoperations or haptics, has the disadvantage of being overconservative. Hence, it compromises fidelity of interaction. Passive set-position modulation (PSPM), which was first used to impose teleoperation closed-loop passivity is utilised in this study for a networked virtual haptic environment. Enforcing the closed-loop passivity of multi-user haptic interaction, this approach allows virtually all ranges of stiffness to be rendered by numerous users no matter what the network circumstances are. The new modified PSPM framework was validated through some simulations and experiments.
Controllability and observability of switched Boolean control networks
Unknown-input estimator-based controller design of electric power-assisted steering system
Event-triggered average consensus control for discrete-time multi-agent systems
Cluster synchronisation of Lur’e dynamical networks
Sub-optimal distributed control law with H2 performance for identical dynamically coupled linear systems
Stability and robust stabilisation for a class of non-linear uncertain discrete-time descriptor Markov jump systems
Geometric approach and structure at infinity controls for the disturbance rejection
Stable multi-user interaction with cooperative haptic virtual environments by a modification of passive set-position modulation
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- Author(s): Y. Zhang ; Y. He ; M. Wu ; J. Zhang
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2549 –2555
- DOI: 10.1049/iet-cta.2011.0717
- Type: Article
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This study investigates the state estimation problem for a class of continuous-time Markovian jump systems (MJSs) with time-varying delay and partial information on transition probabilities. The novel sufficient conditions are established to guarantee the mean square stability of MJSs via introducing the free-connection weighting matrices. As a result, the state estimators are designed to estimate original systems through available output measurement. Finally, numerical examples and simulations are given to illustrate the effectiveness and the merits of the proposed method. - Author(s): P. Vadivel ; R. Sakthivel ; K. Mathiyalagan ; P. Thangaraj
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2556 –2566
- DOI: 10.1049/iet-cta.2012.0626
- Type: Article
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This study addresses the issue of robust H∞ control for a class of uncertain Takagi–Sugeno fuzzy systems with distributed time delay and non-linear perturbations. By employing a new Lyapunov–Krasovskii functional together with linear matrix inequality (LMI) technique, a new set of delay-dependent conditions are derived to achieve the robust stabilisation of uncertain fuzzy systems for a prescribed disturbance attenuation level γ>0. The state feedback H∞ control law can be obtained by solving the corresponding LMIs. Further, some numerical examples are provided to demonstrate the effectiveness of the obtained results. The results reveal that the proposed theory significantly improve the allowable upper bounds of the delays over some existing results. - Author(s): O.M. Kwon ; M.J. Park ; J.H. Park ; S.M. Lee ; E.J. Cha
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2567 –2575
- DOI: 10.1049/iet-cta.2012.0257
- Type: Article
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This study is concerned with the stability problem for uncertain discrete-time systems with interval time-varying delays. By construction of an augmented Lyapunov–Krasovskii’s functional and utilisation of new zero equalities, improved delay-dependent criteria for the stability of the systems are derived for guaranteeing the asymptotic stability of the concerned systems. The effectiveness and the reduced conservatism of the derived results are demonstrated by three illustrative examples. - Author(s): Z. Xue ; H. Lin ; T.H. Lee
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2576 –2584
- DOI: 10.1049/iet-cta.2011.0140
- Type: Article
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This study aims to facilitate quantum control design by making use of derived real-valued equations, which are equivalent to the Schrödinger equation. First, a pure-state identification approach is presented to show that a quantum state can be determined by a minimum number of real parameters. Second, the real-valued equations are deduced for both two- and three-level systems based on the results of the state parametrisation. The procedure is also extended to n-level systems. Third, with the assistance of the derived real-valued equations, the state transfer problem is investigated based on Lyapunov analysis. The state transfer convergence is analysed. It is further shown how to achieve arbitrary pure state transfers via the Lyapunov method by designing the control. The real-valued equations provide a convenient way for theoretical analysis and control design of quantum systems, and therefore can assist in the implementation of quantum control. The state transfer convergence is analysed. It is further shown how to achieve arbitrary pure-state transfers via the Lyapunov method by designing the control. - Author(s): Y.-B. Zhao ; J. Kim ; G.-P. Liu
- Source: IET Control Theory & Applications, Volume 6, Issue 16, p. 2585 –2591
- DOI: 10.1049/iet-cta.2012.0504
- Type: Article
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A control structure is investigated where the sensor is remotely located from the plant through the communication network, motivated by the inclusion of sensor fusion in networked control systems (NSCs). This control structure admits a broad class of practical NSCs but has rarely been touched before. Motivated by the packet-based control approach, the authors propose an offline model predictive control-based gain scheduling scheme for this control structure. This scheme is capable of actively compensating for the communication constraints, which is an impossible task for conventional control approaches, and at the same time it dramatically reduces the communication and computational costs compared with the packet-based control approach. In this sense, this scheme can be regarded as an important step towards the effective convergence of control, communication and computation.
State estimation for Markovian jump systems with time-varying delay and partial information on transition probabilities
Robust stabilisation of non-linear uncertain Takagi–Sugeno fuzzy systems by H∞ control
Improved robust stability criteria for uncertain discrete-time systems with interval time-varying delays via new zero equalities
Analysis and control of closed quantum systems based on real-valued dynamics
Offline model predictive control-based gain scheduling for networked control systems
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