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Volume 153
Issue 4
IEE Proceedings - Control Theory and Applications
Volume 153, Issue 4, July 2006
Volumes & issues:
Volume 153, Issue 4
July 2006
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- Author(s): Z. Ding
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 379 –386
- DOI: 10.1049/ip-cta:20045283
- Type: Article
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p.
379
–386
(8)
The author deals with adaptive estimation of unknown disturbances in a class of non-minimum phase nonlinear systems, and the stabilisation and disturbance rejection based on the estimated disturbances. The unknown disturbances are the combination of sinusoidal disturbances with unknown frequencies, unknown phases and amplitudes. The only information of the unknown disturbances is the number of distinctive frequencies inside. The class of nonlinear systems considered by the author consists of nonlinear systems in the output feedback form and the systems may be non-minimum phase, that is with unstable zero dynamics. An adaptive estimation algorithm is developed to give exponentially convergent estimates of the unknown disturbance and the system states. The asymptotic convergent estimates of unknown frequencies are also obtained. The proposed estimation algorithm works for both minimum phase and non-minimum phase nonlinear systems in output feedback form. Disturbance rejection with stabilisation is achieved by combining the control designed for the stabilisation of the disturbance-free system and the exponentially convergent estimate of the disturbance. Under the conditions specified for the control design of the system with no disturbance, the overall stability and complete rejection of the unknown disturbance are guaranteed by the proposed control algorithm. - Author(s): S. Janardhanan and B. Bandyopadhyay
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 387 –396
- DOI: 10.1049/ip-cta:20045173
- Type: Article
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p.
387
–396
(10)
Several algorithms for discrete-time quasi-sliding mode control of time-delay systems with different delay and disturbance structures are proposed. Four different delay structures are considered. All the algorithms are based on multirate output feedback. Hence, they are more practical than state feedback and are less complex compared with observer-based control strategies. - Author(s): W. Wang and J. Cao
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 397 –402
- DOI: 10.1049/ip-cta:20050197
- Type: Article
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p.
397
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(6)
The issue of globally robust asymptotic stability with norm-bounded parameter uncertainties is studied for delayed Cohen–Grossberg neural networks. By constructing a suitable Lyapunov functional, several sufficient conditions are obtained guaranteeing the global robust convergence of the equilibrium point. The obtained conditions are given in the form of matrix and linear matrix inequalities that can be checked numerically and very efficiently by resorting to the recently developed interior-point method. Finally, an illustrative numerical example is provided to demonstrate the effectiveness of the obtained results. - Author(s): T.C. Yang
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 403 –412
- DOI: 10.1049/ip-cta:20050178
- Type: Article
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p.
403
–412
(10)
A survey on networked control systems (NCSs), published in a previous paper, is updated and extended. A simple framework and some general formulations for the study of NCSs are proposed. In addition to the survey on NCSs, the impact of NCSs on traditional large-scale system control methodologies with a related application is also reviewed. - Author(s): B. Ekstrand
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 413 –418
- DOI: 10.1049/ip-cta:20050200
- Type: Article
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p.
413
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(6)
Deterministic steady-state errors for circular manoeuvres are discussed for two basic tracking filters: a two-state continuous-time filter and the discrete-time update α-β filter. Radial and angular errors are expressed in terms of target acceleration and filter bandwidth, and it is shown that the radial error dominates. The α-β filter bandwidth is given and a useful approximation is obtained. The tracking index can then be interpreted in terms of bandwidth and a rule-of-thumb for an upper bound of the index can be formulated. The paper contributes relationships for basic filter performance during circular manoeuvring that should be useful in a design process. Some design aspects are discussed. The results are obtained by using transfer functions. - Author(s): S.-J. Park ; K.-H. Cho ; J.-T. Lim
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 419 –426
- DOI: 10.1049/ip-cta:20050372
- Type: Article
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p.
419
–426
(8)
A non-blocking supervisory control problem to meet bounded time constraints for non-deterministic real-time discrete event systems (DESs) is addressed. To this end, notions of trace controllability and time controllability are introduced for the non-deterministic real-time DESs with respect to a timed language specification representing a bounded time constraint. The existence conditions of a non-blocking supervisor to achieve the timed language specification are presented on the basis of the proposed notions, and these are further illustrated by an assembly work station example. - Author(s): B. Yang ; Dongchuan Yu ; G. Feng ; C. Chen
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 427 –436
- DOI: 10.1049/ip-cta:20050336
- Type: Article
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p.
427
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(10)
This paper addresses the stabilisation issue, via a fuzzy control approach, for a class of nonlinear systems which can be approximated by the so-called dynamic fuzzy models (DFMs). An approach to the controller design on exponential stabilisation of the DFMs with affine terms is first presented. Then it is shown that semi-global stabilisation of the original nonlinear system can be established, if the designed exponential decay rate for the controlled DFMs is large enough. A simulation example is finally used to illustrate the performance of the proposed controller design approach. - Author(s): D. Lieftucht ; U. Kruger ; G.W. Irwin ; R.J. Treasure
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 437 –446
- DOI: 10.1049/ip-cta:20040385
- Type: Article
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p.
437
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Treasure et al. (2004) recently proposed a new subspace-monitoring technique, based on the N4SID algorithm, within the multivariate statistical process control framework. This dynamic‐monitoring method requires considerably fewer variables to be analysed when compared with dynamic principal component analysis (PCA). The contribution charts and variable reconstruction, traditionally employed for static PCA, are analysed in a dynamic context. The contribution charts and variable reconstruction may be affected by the ratio of the number of retained components to the total number of analysed variables. Particular problems arise if this ratio is large and a new reconstruction chart is introduced to overcome these. The utility of such a dynamic contribution chart and variable reconstruction is shown in a simulation and by application to industrial data from a distillation unit. - Author(s): Y. He ; M. Wu ; J.-H. She
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 447 –452
- DOI: 10.1049/ip-cta:20045279
- Type: Article
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p.
447
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(6)
The problem of the delay-dependent stability of linear systems with multiple time delays is discussed. A new method is first presented for a system with two time delays, in which free weighting matrices are used to express the relationships among the terms of the Leibniz–Newton formula. Next, this method is used to show the equivalence between a system with two identical time delays and a system with a single time delay. Then, a numerical example verifies that the criterion given is effective and is a significant improvement over the existing ones. Finally, the basic idea is extended to a system with multiple time delays. - Author(s): A.M. Pertew ; H.J. Marquez ; Q. Zhao
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 453 –461
- DOI: 10.1049/ip-cta:20050051
- Type: Article
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p.
453
–461
(9)
The problem of sampled-data state reconstruction in linear time invariant systems is considered. A new full order observer structure that can generate intersample state estimation is introduced. The observer synthesis is carried out using the H∞ framework and is shown to have some important advantages over the classical lifting technique that has been used to study similar problems. A simulation example illustrates the application of the proposed design in the fast rate fault detection problem. - Author(s): H. Wang ; A. Wang ; Y. Wang
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 462 –468
- DOI: 10.1049/ip-cta:20050312
- Type: Article
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p.
462
–468
(7)
The authors present a new method to estimate the unknown probability density functions (PDFs) of random parameters for non-Gaussian dynamic stochastic systems. The system is represented by an auto-regression and exogenous model, where the parameters and the system noise term are random processes that are characterised by their unknown PDFs. Under the assumption that each random parameter and the noise term are independent and are an identically distributed sequence, a simple mathematical relationship is established between the measured output PDF of the system and the unknown PDFs of the random parameters and noise term. The moment generating function in probability theory has been used to transfer the multiple convolution integration into a simple algebraic operation. An identification algorithm is then established that estimates these unknown PDFs of the parameters and the noise term by using the measured output PDFs and the system input. A simulated example is given to show the effectiveness of the proposed method. - Author(s): M.N.A. Parlakçı
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 469 –477
- DOI: 10.1049/ip-cta:20050099
- Type: Article
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p.
469
–477
(9)
Robust stability for uncertain systems with time-varying delay is investigated. An improved linear matrix inequality-based robust delay-dependent stability test is introduced to ensure a larger upper bound for time-varying delays affecting the state vector of an uncertain continuous-time system with norm-bounded type uncertainties. A new class of Lyapunov–Krasovskii functionals combined with the descriptor model transformation is constructed to derive some delay-dependent stability criteria. The proposed method gives sufficient conditions for the robust stability of the system with time-varying delay under norm-bounded uncertainty. Numerical examples indicate that the proposed stability criteria effectively improve the existing results. - Author(s): G. Franzè ; L. Carotenuto ; A. Balestrino
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 478 –482
- DOI: 10.1049/ip-cta:20050236
- Type: Article
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p.
478
–482
(5)
New results on the regions that include the spectrum of a given matrix have recently appeared in the literature. On the basis of the inclusions established, a new method is proposed for analysing the stability of a class of uncertain linear systems characterised by an interval family of dynamical matrices. As a result, a new bound to the real parts (moduli) of the eigenvalues of matrices in the interval family is obtained, which provides a sufficient condition of stability and a way to compute an estimate of the minimal destabilising perturbation (stability margin). The evaluation of this bound, as well as of other ones obtained by Geršgorin regions, is computationally simple and does not suffer from dimensionality problems. Then, the method can be used also when less conservative approaches (exploration of vertices and joining segments) require prohibitive computational efforts. Moreover, numerical comparisons, carried out on a large number of randomly generated interval matrices, show that the bound proposed here is inferior in about 3% and superior in about 25% in comparison to the results of a recently published Geršgorin-type method (Carotenuto et al., 2004). - Author(s): L. Wu ; P. Shi ; C. Wang ; H. Gao
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 483 –492
- DOI: 10.1049/ip-cta:20050296
- Type: Article
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p.
483
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The problems of delay-dependent robust ℋ∞ and ℒ2-ℒ∞ filtering for a class of linear parameter varying systems with both discrete and distributed delays is discussed. The distributed delays are assumed to appear in both the state and measurement equations. Attention is focused on the design of delay-dependent robust full-order filters that guarantee the robust asymptotic stability and a prescribed noise attenuation level in an ℋ∞ or ℒ2-ℒ∞ sense for the filtering error dynamics. The desired filters can be obtained from the solution of convex optimisation problems in terms of linear matrix inequalities that can be solved by efficient interior-point algorithms. A numerical example is included to illustrate the effectiveness of the proposed design methods. - Author(s): A. Nobakhti and H. Wang
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 493 –501
- DOI: 10.1049/ip-cta:20050254
- Type: Article
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p.
493
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A new method is presented for the design of simply structured multivariable controllers that can explicitly meet mixed sensitivity robust performance and robust stability criteria. Currently, most established robust controller design methods are synthesis-based and produce controllers that are often of much higher order than the plant. Based on the technique of diagonal dominance, this method proposes a novel means of directly ‘designing’ a robust controller, which among others, has the benefit that its order can be determined by the designer. By using elementary algebra, it is shown that the Gershgorin disks of a matrix may also be used to bind its singular values in addition to the eigenvalues. This fact is then exploited to create simple envelopes that bind the singular values of the sensitivity and complementary sensitivity functions, which are subsequently used in the design of the diagonal dominance-based controller such that the mixed criteria on the loop transfer function sensitivities may be met. As with other mixed sensitivity design techniques, this method does not guarantee that a controller is feasible for any set of arbitrary specifications. The method is applied to design a mixed-sensitivity controller for a mathematical model of the Rolls–Royce gas-turbine engine. - Author(s): Y. Bavafa-Toosi ; H. Ohmori ; B. Labibi
- Source: IEE Proceedings - Control Theory and Applications, Volume 153, Issue 4, p. 502 –503
- DOI: 10.1049/ip-cta:20050125
- Type: Article
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p.
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A necessary and sufficient condition is presented for the finite spectrum of a regular descriptor system to lie within a certain region of the complex s-plane.
Adaptive estimation and rejection of unknown sinusoidal disturbances in a class of non-minimum-phase nonlinear systems
Output feedback discrete-time sliding mode control for time delay systems
LMI-based criteria for globally robust stability of delayed Cohen–Grossberg neural networks
Networked control system: a brief survey
Steady-state circular errors for basic tracking filters
Non-blocking supervisory control under bounded time constraints based on non-deterministic timed transition models
Stabilisation of a class of nonlinear continuous time systems by a fuzzy control approach
Fault reconstruction in linear dynamic systems using multivariate statistics
Delay-dependent stability criteria for linear systems with multiple time delays
H∞ optimal sampled-data state observer design
Online estimation algorithm for the unknown probability density functions of random parameters in auto-regression and exogenous stochastic systems
Robust stability of uncertain time-varying state-delayed systems
New inclusion criterion for the stability of interval matrices
Delay-dependent robust ℋ∞ and ℒ2-ℒ∞ filtering for LPV systems with both discrete and distributed delays
Design of simply structured robust controllers
Note on finite eigenvalues of regular descriptor systems
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