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Volume 151
Issue 3
IEE Proceedings - Control Theory and Applications
Volume 151, Issue 3, May 2004
Volumes & issues:
Volume 151, Issue 3
May 2004
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- Author(s): D. Fragopoulos and M. Innocenti
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 253 –258
- DOI: 10.1049/ip-cta:20040311
- Type: Article
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p.
253
–258
(6)
Unit quaternions are a powerful tool for singularity free analysis and the control of arbitrary amplitude motion in a three-dimensional space. The authors present the use of proportional derivative quaternion feedback stabilisation for relative motion attitude control. Global asymptotic stability is guaranteed by defining a particular Lyapunov function and formal requirements are established. Conditions for a finite time control are also presented. - Author(s): J.C. Allwright and C. Manolescu
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 259 –263
- DOI: 10.1049/ip-cta:20040309
- Type: Article
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p.
259
–263
(5)
A method is given for determining point-wise orthogonal Lyapunov transformations for use in stability studies for linear time-varying discrete-time systems. The advantage of such transformations for the non-periodic case over standard Lyapunov transformations is explained. Simple useful sufficient conditions for asymptotic stability and divergence of the original system are given in terms of the transformed system. The application of the results to online stability assessment is demonstrated. - Author(s): N. Léchevin ; P. Sicard ; Z. Yao
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 264 –270
- DOI: 10.1049/ip-cta:20040336
- Type: Article
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p.
264
–270
(7)
A passivity approach is presented that acts as a framework for the analysis of the stability of power systems and allows the derivation of controllers. A radial power system is decomposed according to the component oriented modelling technique (COMT). The whole system is thus modelled as a feedback subsystem decomposition suitable for the application of the passivity approach. Under the assumption of a passive or a passified load, L2-stability properties are obtained when disturbances occur in the network. Once disturbances are cleared an asymptotic stability property is derived. In the case of non-passivity of certain loads or series elements located in the network and when an energy-like constraint is satisfied, ultimate boundedness properties are obtained with a quasi-passivity concept. - Author(s): M.J. Grimble
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 271 –277
- DOI: 10.1049/ip-cta:20040487
- Type: Article
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p.
271
–277
(7)
Restricted structure controllers have previously been defined, where the controller structure and order are predefined. These enable a cost-function to be minimised to obtain the best controller tuning parameters; however, the gain and phase margins were incidental. A constrained optimisation method is proposed that enables specified gain or phase-margins to be achieved. In fact, these robustness margins are generalised and the optimisation method enables them to be achieved exactly, but at the price of a cost increase. - Author(s): Z. Gao and D.W.C. Ho
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 279 –288
- DOI: 10.1049/ip-cta:20040437
- Type: Article
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p.
279
–288
(10)
A design approach for observers using multiple-integrals is presented for descriptor systems, which allows the authors to decouple or attenuate measurement output disturbances. Design schemes for both pure integral observers and proportional integral observers are investigated. Measurement noise and input disturbances are also simultaneously taken into account in the design. A systematic design procedure for a causal or normal multiple-integral observer is addressed, which can be implemented conveniently using Matlab software. The considered disturbance may be unbounded, which means that the presented design approach is suitable for more general cases. Moreover, the system state, together with the disturbance vector and its finite time derivatives can be simultaneously estimated. The proposed design has great potential for application to control problems, such as those in diagnosis or observer-based control. In addition, it also has good estimation robustness and can be directly applied to normal systems. Simulation results show a satisfactory tracking performance as compared to the results obtained for descriptor systems. - Author(s): Z. Ji ; L. Wang ; G. Xie ; F. Hao
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 289 –294
- DOI: 10.1049/ip-cta:20040306
- Type: Article
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p.
289
–294
(6)
Quadratic stabilisation via state and output feedback for continuous-time switched linear systems is studied with the use of a linear matrix inequality (LMI) approach. LMI-based conditions are established for both a state feedback case and an observer-based output feedback case. Under these conditions, the switched linear systems are quadratically stabilisable via either a state-based or a measurable output-based switching strategy. A sufficient and necessary LMI-based condition is also obtained for the state feedback case when there are only two subsystems in the switched linear systems. These results are extended to uncertain switched systems. - Author(s): M. Chen ; C.R. Zhu ; G. Feng
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 295 –301
- DOI: 10.1049/ip-cta:20040307
- Type: Article
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p.
295
–301
(7)
The authors present an H∞ controller synthesis method for uncertain piecewise linear systems that is based on a piecewise smooth Lyapunov function. It is shown that the stability and the disturbance attenuation performance of the closed-loop control system can be achieved with this piecewise Lyapunov function and the control law can be obtained by solving a set of linear matrix inequalities. A simulation example is used to illustrate the proposed approach. - Author(s): C.M. Chang and T.S. Liu
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 303 –309
- DOI: 10.1049/ip-cta:20040337
- Type: Article
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p.
303
–309
(7)
Repetitive control has been applied to robots, disk drives, etc. However, the memory size in repetitive controllers linearly increases with both the repetition time and the sampling frequency. Hence, the authors aim to apply discrete wavelet transforms to lower the memory requirements of repetitive controllers. The repetitive error signal is decomposed using a wavelet transform. Only the highest-level approximation coefficients and a few detail coefficients in the wavelet transform have to be saved and hence the error signal is compressed. The compressed error signal is in turn reconstructed to compensate the control system. Simulation results are presented to demonstrate the effectiveness of the proposed method. - Author(s): J. Lin
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 310 –318
- DOI: 10.1049/ip-cta:20040433
- Type: Article
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p.
310
–318
(9)
The design of a multi-time scale fuzzy controller using a singular perturbation approach that involves an elastic continuum carrying a moving mass-sprung-damper oscillator is presented. The proposed design of the controller involves a composite control strategy elucidated by the singular perturbation approach. A fuzzy logic compensator (FLC) is applied to the controller to solve the problem of the lack of full-state availability. Using this compensator, the vibration amplitude of an elastically supported continuum can be reduced and the performance of the dynamic system improved. A hierarchical fuzzy logic structure of a multi-input FLC is derived, leading to the implementation of faster controllers with a reduced memory demand. The considered problem of oscillation with moving loads, arises in civil, mechanical, transport, marine, offshore, aviation and aeronautical engineering. - Author(s): W.-J. Chang ; C.-C. Sun ; H.-Y. Chung
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 319 –328
- DOI: 10.1049/ip-cta:20040308
- Type: Article
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p.
319
–328
(10)
The stability and controller design problem for a discrete Takagi-Sugeno type fuzzy model whose subsystems are controllability canonical forms is addressed. Based on discrete controllability canonical Takagi-Sugeno fuzzy systems, stability conditions and fuzzy controller design are derived by solving the inverse solutions of Lyapunov equations. A numerical example is used to verify the feasibility and applicability of proposed approach. - Author(s): J.C. Gómez ; A. Jutan ; E. Baeyens
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 329 –338
- DOI: 10.1049/ip-cta:20040438
- Type: Article
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p.
329
–338
(10)
Wiener model identification and predictive control of a pH neutralisation process is presented. Input-output data from a nonlinear, first principles simulation model of the pH neutralisation process are used for subspace-based identification of a black-box Wiener-type model. The proposed nonlinear subspace identification method has the advantage of delivering a Wiener model in a format which is suitable for its use in a standard linear-model-based predictive control scheme. The identified Wiener model is used as the internal model in a model predictive controller (MPC) which is used to control the nonlinear white-box simulation model. To account for the unmeasurable disturbance, a nonlinear observer is proposed. The performance of the Wiener model predictive control (WMPC) is compared with that of a linear MPC, and with a more traditional feedback control, namely a PID control. Simulation results show that the WMPC outperforms the linear MPC and the PID controllers. - Author(s): T.J.J. van den Boom ; B. De Schutter ; G. Schullerus ; V. Krebs
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 339 –346
- DOI: 10.1049/ip-cta:20040440
- Type: Article
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p.
339
–346
(8)
Model predictive control (MPC) is a popular controller design technique in the process industry. Conventional MPC uses linear or nonlinear discrete-time models. Recently, MPC has been extended to a class of discrete-event systems that can be described by a model that is ‘linear’ in max-plus algebra. An adaptive scheme for the time-varying case, based on parameter estimation of input-output models is presented. In a simulation example it is shown that the combined parameter-estimation/MPC algorithm gives a good closed-loop behaviour. - Author(s): S.-J. Park ; K.-H. Cho ; J.-T. Lim
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 347 –352
- DOI: 10.1049/ip-cta:20040441
- Type: Article
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p.
347
–352
(6)
An analytical framework for supervisory control of real-time discrete event systems (DESs) under bounded time constraints is presented. In order to address the bounded time constraints of the systems, timed languages based on timed transition models are introduced. Using eligible time bounds, the notions of trace-controllability and time-controllability of timed languages are proposed. Based on these notions, necessary and sufficient conditions for the existence of a supervisor for a real-time DES to achieve the given timed language specification are presented. The proposed approach shows that an exhaustive enumeration of the language generated in timed transition models is not needed to verify such existence conditions of the supervisor. - Author(s): S.-G. Kim ; M.-S. Lee ; J.-T. Lim
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 353 –356
- DOI: 10.1049/ip-cta:20040483
- Type: Article
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p.
353
–356
(4)
An extended decentralised supervisory control framework of discrete event systems is considered, in which a certain number of local supervisors are required to disable a controllable event. The mutual observability, which is an extended concept of the conventional co-observability, is presented to increase the system's efficacy. Based on the mutual observability, the authors investigate the necessary and sufficient conditions for the existence of the extended decentralised supervisory control. - Author(s): W. Ren and R.W. Beard
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 357 –368
- DOI: 10.1049/ip-cta:20040484
- Type: Article
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p.
357
–368
(12)
Formation control ideas for multiple spacecraft using the virtual structure approach are presented. If there is no formation feedback from the spacecraft to the virtual structure, the spacecraft will get out of formation when the virtual structure moves too fast for the spacecraft to track due to spacecraft control saturation or the total system must sacrifice convergence speed in order to keep the spacecraft in formation. The spacecraft may also get out of formation when the system is affected by internal or external disturbances. To overcome these drawbacks, an idea of introducing formation feedback from the spacecraft to the virtual structure is illustrated in detail. An application of these ideas to multiple spacecraft interferometers in deep space is given. - Author(s): S.-H. Huh ; J.-H. Park ; I. Choy ; G.-T. Park
- Source: IEE Proceedings - Control Theory and Applications, Volume 151, Issue 3, p. 369 –375
- DOI: 10.1049/ip-cta:20040482
- Type: Article
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p.
369
–375
(7)
Some kinds of speed control loops can be easily designed based on simple mechanical dynamics by using reasonable assumptions in AC motor control systems. However, these simple approaches give undesired performances under mismatches of model parameters, external load conditions and unknown dynamics. Moreover, in real systems as well as during analysis, speed estimation error is inevitable and should be considered from the viewpoint of the stability of the whole feedback control system. To cope with the robust characteristics under inherent uncertainties, a nonlinear uncertainty observer using the radial basis function networks (RBFNs) is proposed. A control law for stabilising the system and adaptive laws for updating both weights in the RBFNs and a bounding constant are established, so that the whole closed-loop system is stable in the sense of Lyapunov. Additionally, stability proof of the whole control system including the speed estimation error is presented. The proposed approach is applied to a three-level inverter-fed induction motor direct torque control (DTC) system, and computer simulations as well as experimental results are presented to show the validity and effectiveness of the proposed system.
Stability considerations in quaternion attitude control using discontinuous Lyapunov functions
Stability assessment for linear time-varying discrete-time systems using orthogonal Lyapunov transformations
Stability analysis of radial power systems: a passivity approach
Optimal restricted structure control with prespecified gain or phase margins
Proportional multiple-integral observer design for descriptor systems with measurement output disturbances
Linear matrix inequality approach to quadratic stabilisation of switched systems
Linear-matrix-inequality–based approach to H∞ controller synthesis of uncertain continuous-time piecewise linear systems
Study on wavelet repetitive control
Multi-timescale fuzzy controller for a continuum with a moving oscillator
Fuzzy controller design for discrete controllability canonical Takagi-Sugeno fuzzy systems
Wiener model identification and predictive control of a pH neutralisation process
Adaptive model predictive control for max-plus-linear discrete event input-output systems
Supervisory control of real-time discrete event systems under bounded time constraints
Decentralised supervisory control of discrete event systems with mutual observability
Formation feedback control for multiple spacecraft via virtual structures
Nonlinear uncertainty observer for AC motor control using the radial basis function networks
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