Online ISSN
1751-8652
Print ISSN
1751-8644
IET Control Theory & Applications
Volume 2, Issue 9, September 2008
Volumes & issues:
Volume 2, Issue 9
September 2008
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- Author(s): D. Xie ; X. Chen ; L. Lv ; N. Xu
- Source: IET Control Theory & Applications, Volume 2, Issue 9, p. 743 –751
- DOI: 10.1049/iet-cta:20070402
- Type: Article
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p.
743
–751
(9)
The authors focus on investigating the asymptotical stabilisability of networked control systems (NCSs) with communication constraints. The basic idea is to model such NCSs as a discrete-time-switched system with control input time-delay. Thus, the asymptotical stabilisability of such NCSs can be reduced to that of time-delay-switched systems. Sufficient conditions are presented about the stabilisation of NCSs. Stabilising switched state/output feedback controllers can be constructed by solving a set of linear matrix inequalities (LMIs), which can be easily tested with effficient LMI algorithms. The advantage is that the behaviour of NCSs can be studied by considering time-delay-switched systems without augmenting the system dimension. The results complement those of Lin et al. about asymptotical stabilisation of NCSs. A numerical example is given to illustrate the results. - Author(s): C. Peng and Y.-C. Tian
- Source: IET Control Theory & Applications, Volume 2, Issue 9, p. 752 –761
- DOI: 10.1049/iet-cta:20070362
- Type: Article
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p.
752
–761
(10)
An innovative method for robust stability analysis of dynamic systems with interval time-varying delay and uncertainties of structural and polytopic types is proposed. The innovation of the method includes employment of a tighter integral inequality and construction of an appropriate type of Lyapunov function. The stability criteria derived from this method significantly improves and simplifies the existing stability conditions obtained through employing the technique with the least number of Linear matrix inequality variables. The simplicity of the stability criteria results from the fact that neither any useful terms are ignored in dealing with cross-product terms nor any superfluous free weighting matrices are introduced in the theoretical derivation. Numerical examples are given to demonstrate the effectiveness of the proposed method. - Author(s): A. Fekih
- Source: IET Control Theory & Applications, Volume 2, Issue 9, p. 762 –772
- DOI: 10.1049/iet-cta:20070090
- Type: Article
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p.
762
–772
(11)
An effective fault tolerant control design for nonlinear systems is described. The proposed approach detects the occurrence of a fault in the closed loop system and switches itself between a control strategy designed for nominal operations and a robust control strategy designed for faulty conditions. It achieves a compromise between the need for high performance and robustness by integrating the most advantageous features of each control strategy. The proposed control design is applied to a class of motor control characterised by its highly nonlinear and multivariable dynamic system, induction motor (IM) drives. Simulation experiments in terms of speed and flux responses show the applicability of the proposed approach to IMs subject to faulty conditions caused by a combination of thermal and mechanical stresses for good performance. - Author(s): Y. Zhou and J. Li
- Source: IET Control Theory & Applications, Volume 2, Issue 9, p. 773 –781
- DOI: 10.1049/iet-cta:20070432
- Type: Article
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p.
773
–781
(9)
Both full-order and reduced-order energy-to-peak filtering problem for discrete-time singular systems are investigated. The purpose is to design a filter with desired order, such that the resulting error systems are regular, casual and stable while the closed-loop transfer function from the noises to the filtering error output satisfies a prescribed l2−l∞ norm bound constraint. First, based on some augment technique, the generalised bounded real lemma with guaranteed energy-to-peak performance for discrete-time singular systems is derived. Then, the necessary and sufficient conditions for the solvability of the energy-to-peak filter are obtained in terms of linear matrix inequalities (LMIs) coupling with a non-convex rank constraint. An explicit parameterisation of all desired energy-to-peak filters is presented. When the full-order or the static filtering is considered, convex LMI conditions and a simple parameterisation of all the desired filters are also given. Furthermore, the presented results are shown to cover the existing results on energy-to-peak filtering for regular state-space systems. - Author(s): L. Xie and I.R. Petersen
- Source: IET Control Theory & Applications, Volume 2, Issue 9, p. 782 –794
- DOI: 10.1049/iet-cta:20070068
- Type: Article
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p.
782
–794
(13)
A robust linear quadratic regulation problem with cheap control is studied for a class of uncertain systems with norm-bounded uncertainty or integral quadratic constraint uncertainty. A Riccati equation approach is employed as a tool to investigate the limiting case in which a scalar weighting coefficient on the control input in the quadratic cost functional approaches zero. Some results concerning the monotonicity properties and the limiting behaviour of the minimal positive-definite (stabilising) solution to the Riccati equation are given by using a well-known comparison theorem for Riccati equations. Using the limiting behaviour of the minimal positive-definite stabilising solution to the Riccati equation, it is found that perfect regulation with cheap control can be achieved if the uncertain system has a particular structure. - Author(s): J. Qiu ; G. Feng ; J. Yang
- Source: IET Control Theory & Applications, Volume 2, Issue 9, p. 795 –806
- DOI: 10.1049/iet-cta:20070361
- Type: Article
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p.
795
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The problem of delay-dependent robust energy-to-peak filtering design for a class of discrete-time switched linear systems with a time-varying state delay and polytopic uncertainties is revisited. The objective is to design a homogeneous switched linear filter guaranteeing the exponential stability of the resulting filtering error system with a minimised robust energy-to-peak disturbance attenuation level under average dwell-time switching scheme. Based on a novel delay and parameter-dependent discontinuous switched Lyapunov–Krasovskii functional combined with Finsler's lemma, a new sufficient condition for robust exponential stability and energy-to-peak performance analysis is first derived and then the corresponding filter synthesis is developed. It is shown that the filter parameters can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the advantages and less conservatism of the proposed approach in comparison with the existing approaches. - Author(s): A. Ferrara and M. Rubagotti
- Source: IET Control Theory & Applications, Volume 2, Issue 9, p. 807 –818
- DOI: 10.1049/iet-cta:20070424
- Type: Article
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p.
807
–818
(12)
The problem of controlling an autonomous wheeled vehicle which must move in its operative space and reach a prescribed goal point avoiding the collision with the obstacles is dealt with. To comply with the non-holonomic nature of the system, a gradient-tracking approach is followed, so that a reference velocity and orientation are suitably generated during the vehicle motion. To track such references, two control laws are designed by suitably transforming the system model into a couple of auxiliary second-order uncertain systems, relying on which second-order sliding modes can be enforced. As a result, the control objective is attained by means of a continuous control law, so that the problems due to the so-called chattering effect, such as the possible actuators wear or the induction of vibrations, typically associated with the use of sliding-mode control, are circumvented. - Author(s): Y.C. Sun and C.C. Cheah
- Source: IET Control Theory & Applications, Volume 2, Issue 9, p. 819 –828
- DOI: 10.1049/iet-cta:20070072
- Type: Article
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p.
819
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(10)
A region control scheme is proposed for underwater vehicle with onboard manipulator. In the proposed control concept, the desired objective can be specified as a region instead of a point. The region control concept is a generalisation of setpoint control problem because when the desired region is specified arbitrarily small, the control objective reduces to a point. Lyapunov-like functions are proposed for the stability analysis. Simulation studies are presented to demonstrate the effectiveness of the proposed controllers. - Author(s): L.H. Lim ; A.P. Loh ; W.W. Tan
- Source: IET Control Theory & Applications, Volume 2, Issue 9, p. 829 –840
- DOI: 10.1049/iet-cta:20070060
- Type: Article
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p.
829
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(12)
The necessary and sufficient conditions for forced and subharmonic oscillations (FO and SO, respectively) in an externally driven single-loop relay feedback system (RFS) are analysed. It is shown that FO of any frequency will always occur in the RFS if and only if the amplitude of the external forcing signal is larger than some minimum. This minimum amplitude can be determined by graphical/numerical approaches. In contrast, the existence of SO is dependent on both the amplitude and frequency of the external signal. Interestingly, one may not be able to obtain any SO for arbitrary frequencies even if the amplitude of the external signal is large. Given this important fundamental difference, the study also sets out to determine the range of frequencies where SO can exists, along with the necessary minimum amplitude of the external signal required for the SO to occur. Simulation studies are given to illustrate the results of the analysis.
Asymptotical stabilisability of networked control systems: time-delay switched system approach
Improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
Effective fault tolerant control design for nonlinear systems: application to a class of motor control system
Energy-to-peak filtering for singular systems: the discrete-time case
Perfect regulation with cheap control for uncertain linear systems: a Riccati equation approach
New results on robust energy-to-peak filtering for discrete-time switched polytopic linear systems with time-varying delay
Second-order sliding-mode control of a mobile robot based on a harmonic potential field
Region-reaching control for underwater vehicle with onboard manipulator
On forced and subharmonic oscillations under relay feedback
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