Online ISSN
1751-8652
Print ISSN
1751-8644
IET Control Theory & Applications
Volume 4, Issue 3, March 2010
Volumes & issues:
Volume 4, Issue 3
March 2010
-
- Author(s): D.F. Coutinho and J.M. Gomes da Silva
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 315 –325
- DOI: 10.1049/iet-cta.2008.0314
- Type: Article
- + Show details - Hide details
-
p.
315
–325
(11)
This study focuses on the problem of regional stability analysis of rational control systems with saturating actuators. Estimates of the region of attraction are computed by means of invariant domains associated to rational Lyapunov functions. Conditions for computing these invariant domains (regions of stability) are proposed in the form of linear matrix inequalities (LMIs). These conditions are derived considering a differential–algebraic representation of the rational system dynamics. The saturation effects are taken into account by means of a generalised sector condition for deadzone non-linearities. The obtained conditions are cast in convex optimisation schemes in order to compute a Lyapunov function which leads to a maximised estimate of the region of attraction. - Author(s): Y.-S. Huang and C.-C. Sung
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 326 –338
- DOI: 10.1049/iet-cta.2008.0485
- Type: Article
- + Show details - Hide details
-
p.
326
–338
(13)
Permanent magnet linear synchronous motors (PMLSMs) are a type of linear synchronous motors that are widely used in motor control applications. However, in PMLSMs, the accuracy of position control is easily affected by variations in its parameters and load disturbances. In this study, the implementation of a direct thrust control (DTC) method by using a modified integrator for flux estimation is proposed. The proposed algorithm can be used to obtain accurate flux magnitudes and phase angles of the controlled motors. The sliding mode control (SMC) method is a well-established control method used in non-linear systems because of its robustness. The authors use DTC along with SMC to construct a motor control system. The advantage of the proposed approach is that the control system behaviour can be tracked easily. The authors conducted simulations and experimental studies, and the results obtained agreed well. - Author(s): B. Boulkroune ; M. Darouach ; M. Zasadzinski
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 339 –350
- DOI: 10.1049/iet-cta.2008.0280
- Type: Article
- + Show details - Hide details
-
p.
339
–350
(12)
In this study, the moving horizon recursive state estimator for linear singular systems is derived from the least squares estimation problem. It will be shown that this procedure yields the same state estimate as the Kalman filter for descriptor systems when the noises are Gaussian. The obtained results are applied to the state and the unknown inputs estimation for discrete-time systems with unknown inputs. A numerical example is presented to illustrate the proposed method. - Author(s): H. Xin ; D. Gan ; M. Huang ; K. Wang
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 351 –361
- DOI: 10.1049/iet-cta.2008.0331
- Type: Article
- + Show details - Hide details
-
p.
351
–361
(11)
For power systems with detailed excitation and power system stabiliser (PSS) controller, the authors set up a singular perturbation dynamical model with saturation non-linearities for their small-signal stability analysis. To estimate the stability region of this kind of dynamical systems, they establish a set of conditions under which the stability region can be decomposed into the Cartesian product of a contractive high-dimensional ellipse and a sufficiently large set. A method is provided for estimating the stability region with least conservativeness by introducing an linear matrix inequality-based optimisation model. A simulation on a simple power system is described as well. - Author(s): J. De Caigny ; J.F. Camino ; R.C.L.F. Oliveira ; P.L.D. Peres ; J. Swevers
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 362 –380
- DOI: 10.1049/iet-cta.2008.0364
- Type: Article
- + Show details - Hide details
-
p.
362
–380
(19)
This study presents ℋ2 and ℋ∞ performance analysis and synthesis procedures for the design of both gain-scheduled and robust static output feedback controllers for discrete-time linear systems with time-varying parameters. The obtained controllers guarantee an upper bound on the ℋ2 or ℋ∞ performance of the closed-loop system. As an immediate extension, the mixed ℋ2/ℋ∞ guaranteed cost control problem is also addressed. The scheduling parameters vary inside a polytope and are assumed to be a priori unknown, but measured in real-time. If bounds on the rate of parameter variation are known, they can be taken into account, providing less conservative results. The geometric properties of the polytopic domain are exploited to derive finite sets of linear matrix inequalities (LMIs) based on the existence of a parameter-dependent Lyapunov function. An application of the methodology to a realistic vibroacoustic problem, with experimentally obtained data, illustrates the benefits of the proposed approach and shows that the techniques can be used for real engineering problems. - Author(s): D.-W. Ding and G.-H. Yang
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 381 –390
- DOI: 10.1049/iet-cta.2008.0481
- Type: Article
- + Show details - Hide details
-
p.
381
–390
(10)
This study investigates the problem of H∞ static output feedback (SOF) control for discrete-time switched linear systems with average dwell time. By the aid of multiple Lyapunov functions combined with Finsler's lemma, a switched SOF controller is designed such that the closed-loop switched system is exponentially stable and achieves a weighted L2-gain. Sufficient conditions for SOF control are derived and formulated in terms of linear matrix inequalities (LMIs). The minimal average dwell time and the corresponding SOF controller are obtained from the LMI conditions for a given system decay degree. The proposed method is less conservative than the existing ones, which is validated by a numerical example. - Author(s): H. Khaloozadeh and S. Baromand
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 391 –402
- DOI: 10.1049/iet-cta.2008.0359
- Type: Article
- + Show details - Hide details
-
p.
391
–402
(12)
Covariance control theory provides a parameterisation of all controllers which assign a specified state covariance matrix to the closed-loop system according to different requirements on system performance. In this study, an innovative scheme for covariance system description based on the original linear stochastic system is proposed. The main idea of the proposed scheme is based on a special rearrangement of the corresponding covariance matrix Riccati equation to a new linear deterministic state space system. The variances of the states and cross-covariance between each two states of the original system would be the states of the new covariance system. By some mathematical manipulations, the covariance assignment problem is reformulated as a standard disturbance rejection problem. Since the new covariance system is linear and deterministic, all conventional and well-defined control strategies can be applied on it. Results are presented by a covariance feedback control law based on an integral control action applied to the new covariance system. The control law causes a stable closed-loop system and assigns a pre-specified state covariance matrix to the states of the closed-loop system. - Author(s): C. Zhong and Z. Li
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 403 –410
- DOI: 10.1049/iet-cta.2008.0193
- Type: Article
- + Show details - Hide details
-
p.
403
–410
(8)
As a highly undesirable situation, deadlocks usually occur in flexible manufacturing systems because of the limited resources. To develop a deadlock control policy, Petri nets (PN) are widely used to model these systems. For a class of PN, WS3PR-weighted systems of simple sequential processes with resources, this study reveals the relationship between its siphons and deadlocks and explores the conditions under which it is live. The concept of self-max'-controlled siphons is proposed and a sufficient condition for self-max'-controllability of siphons is developed. The authors conclude that a WS3PR is live if each strict minimal siphon is self-max'-controlled. Examples are used to demonstrate the proposed concepts and methods. - Author(s): M.J. Grimble and P. Majecki
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 411 –424
- DOI: 10.1049/iet-cta.2009.0043
- Type: Article
- + Show details - Hide details
-
p.
411
–424
(14)
A relatively simple approach to non-linear predictive generalised minimum variance (NPGMV) control is introduced for non-linear discrete-time multivariable systems. The system is represented by a combination of a stable non-linear subsystem where no structure is assumed and a linear subsystem that may be unstable and modelled in polynomial matrix form. The multi-step predictive control cost index to be minimised involves both weighted error and control signal costing terms. The NPGMV control law involves an assumption on the choice of cost-function weights to ensure the existence of a stable non-linear closed-loop operator. A valuable feature of the control law is that in the asymptotic case, where the plant is linear, the controller reduces to a polynomial matrix version of the well known generalised predictive control (GPC) controller. In the limiting case when the plant is non-linear and the cost-function is single step the controller becomes equal to the polynomial matrix version of the so-called non-linear generalised minimum variance controller. The controller can be implemented in a form related to a non-linear version of the Smith predictor but unlike this compensator a stabilising control law can be obtained for open-loop unstable processes. - Author(s): M.W. Foley ; R.H. Julien ; B.R. Copeland
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 425 –436
- DOI: 10.1049/iet-cta.2008.0306
- Type: Article
- + Show details - Hide details
-
p.
425
–436
(12)
Over the past 15 years, a number of model-based proportional-integral-derivative (PID) tuning methods have been developed for systems that can be described as integrating-with-deadtime. This was motivated by the observation that the initial open-loop response of lag-dominant processes, such as tray temperature in high-purity distillation columns, resembles that of a delayed ramp variable. This study compares the behaviour of several PID λ-tuning rules with the Skogestad internal model control (or SIMC) proportional-integral (PI) controller on simulated integrator-plus-deadtime and lag-dominant first-order plants. Guidelines are provided for selecting the most appropriate tuning method for a given application based on the primary function of the feedback loop (servo against regulatory) as well as the relative importance of control effort and robustness. In contrast, the PID version of the Tyreus–Luyben controller, a popular strategy for this class of models, was found to yield excellent setpoint following but sluggish rejection of unmeasured disturbances acting at the plant input. - Author(s): M. Ayati and H. Khaloozadeh
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 437 –447
- DOI: 10.1049/iet-cta.2008.0576
- Type: Article
- + Show details - Hide details
-
p.
437
–447
(11)
In this study, a novel non-linear stochastic adaptive sliding-mode observer is extended to reconstruct the states of a non-linear stochastic system with model uncertainties. Also, both process and measurement noises are considered in the system model. The outstanding feature of the proposed observer is its stability in probability which is proved through a theorem based on stochastic Lyapunov stability criterion. The time-varying adaptation gains obtained from the proposed theorem ensure high convergence rate of the observer. Another advantage of the observer is bounded adaptation gains which do not have any singularity problem especially when the mean value of the observer error converges to zero. The proposed observer is used in an observer-based chaos synchronisation scheme. Since both uncertainties and noises are considered in the observer model, it can effectively estimate the noisy states of a highly non-linear chaotic transmitter. Also the effect of the noises on the synchronisation is investigated through simulations. - Author(s): T. Liu and F. Gao
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 448 –460
- DOI: 10.1049/iet-cta.2008.0472
- Type: Article
- + Show details - Hide details
-
p.
448
–460
(13)
In this study, a modified design of the internal model control (IMC) filter is proposed for improving closed-loop system performance of load disturbance rejection, especially for slow processes in industrial and chemical engineering practices. The deficiency of a conventional IMC filter design for controller tuning is revealed with regard to load disturbance rejection. By constructing one or more asymptotic canceling constraints for disturbance rejection, a modified IMC filter is proposed to reduce the influence from the time constant(s) of the process or repetitive-type load disturbance to the closed-loop disturbance rejection performance. Similar to a conventional IMC filter, there is essentially a single adjustable parameter in the proposed IMC filter, which can be monotonically tuned to meet with the compromise between the achievable disturbance rejection performance and the closed-loop system stability. Quantitative tuning formulae and guidelines for this adjustable parameter are developed in terms of the widely used first- and second-order process models with time delay. Illustrative examples are given to show the effectiveness and merits of the proposed IMC filter. - Author(s): S. Guo ; C. Dang ; X. Liao ; D. Liu
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 461 –471
- DOI: 10.1049/iet-cta.2008.0408
- Type: Article
- + Show details - Hide details
-
p.
461
–471
(11)
A fundamental and required property of congestion control algorithms in computer networks is stability. In this study, a class of appropriate Lyapunov functionals is proposed to investigate asymptotic stability in the second-order congestion control systems with heterogeneous communication delays. Novel linear matrix inequality-based delay-dependent stability criteria are given by exploiting free weighting matrices, which can overcome conservativeness of most methods involving a fixed model transformation. Simulation results show that the stability criteria proposed in this study are less conservative in the sense that larger range of control gains and communication delays can be accommodated. - Author(s): V. Morio ; F. Cazaurang ; A. Falcoz ; P. Vernis
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 472 –486
- DOI: 10.1049/iet-cta.2008.0463
- Type: Article
- + Show details - Hide details
-
p.
472
–486
(15)
This study deals with the design of a guidance scheme based on flatness theory and dedicated to the terminal area energy management phase of a reusable launch vehicle. The proposed guidance strategy is based on a non-linear dynamic inversion technique to handle the large flight envelope that characterises the reentry mission. This inversion takes advantage of a particular choice of linearising terms called flat outputs, that are used to perform an input-to-state linearisation. First, it is shown that the coupled in-plane and out-of-plane vehicle dynamics admits a set of flat outputs. The flatness property of this model is then used to compute the nominal control input profiles corresponding to a single reference trajectory computed off-line. Based on the linearised model obtained by dynamic inversion, a linear tracking controller is then designed so as to circumvent off-nominal flight conditions. Finally, robustness and performances of the proposed guidance scheme are assessed by performing Monte Carlo runs within an industrial simulation environment. - Author(s): P. Lin and Y. Jia
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 487 –498
- DOI: 10.1049/iet-cta.2008.0492
- Type: Article
- + Show details - Hide details
-
p.
487
–498
(12)
This study is concerned with consensus problems for a class of multi-agent systems with second-order dynamics. Some dynamic neighbour-based rules are adopted for the agents with the consideration of parameter uncertainties and external disturbances. Sufficient conditions are derived to make all agents asymptotically reach consensus while satisfying desired H∞ performance. Finally, numerical simulations are provided to show the effectiveness of our theoretical results. - Author(s): X. Du and G.-H. Yang
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 499 –508
- DOI: 10.1049/iet-cta.2008.0537
- Type: Article
- + Show details - Hide details
-
p.
499
–508
(10)
This article studies the H∞ model reduction problem for linear continuous-time systems over a finite-frequency interval. Different from the existing methods in the literature, we resort to the aid of recently developed generalised Kalman–Yakubovich–Popov (GKYP) lemma. Based on a in-depth exploitation of the GKYP lemma and the Projection lemma, sufficient conditions for the finite-frequency H∞ model reduction problems are derived and expressed in terms of solutions to a set of linear matrix inequalities (LMIs), which can be handled easily by using the available toolbox. Numerical examples are included for illustration. - Author(s): M.S. Mahmoud and Y. Xia
- Source: IET Control Theory & Applications, Volume 4, Issue 3, p. 509 –519
- DOI: 10.1049/iet-cta.2008.0332
- Type: Article
- + Show details - Hide details
-
p.
509
–519
(11)
In this study, the problem of designing regular robust 2–∞ filter for a class of linear singular discrete-time systems with norm-bounded uncertainties is investigated. A class of regular linear filters is fully analysed, then necessary and sufficient conditions of robust admissibility are established. Guaranteed 2–∞ performance of the filtered system is provided and expressed in terms of the solution of strict linear matrix inequalities (LMIs). The cases of full- and zeroth-order realisable filter are derived as limiting cases of design. Numerical examples are worked out to illustrate the theoretical development.
Computing estimates of the region of attraction for rational control systems with saturating actuators
Implementation of sliding mode controller for linear synchronous motors based on direct thrust control theory
Moving horizon state estimation for linear discrete-time singular systems
Estimating the stability region of singular perturbation power systems with saturation nonlinearities: an linear matrix inequality-based method
Gain-scheduled ℋ2 and ℋ∞ control of discrete-time polytopic time-varying systems
H∞∞ static output feedback control for discrete-time switched linear systems with average dwell time
State covariance assignment problem
Self-liveness of a class of Petri net models for flexible manufacturing systems
Polynomial approach to non-linear predictive generalised minimum variance control
Proportional-integral-derivative λ-tuning for integrating processes with deadtime
Stable chaos synchronisation scheme for non-linear uncertain systems
New insight into internal model control filter design for load disturbance rejection
Linear matrix inequality-based novel stability criteria of the primal-dual algorithm with heterogeneous communication delays
Robust terminal area energy management guidance using flatness approach
Robust H∞ consensus analysis of a class of second-order multi-agent systems with uncertainty
H∞ model reduction of linear continuous-time systems over finite-frequency interval
Design of reduced-order 2–∞ filter design for singular discrete-time systems using strict linear matrix inequalities
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
