Adaptive Robust Tracking and Model Following of Uncertain Dynamical Systems With Multiple Time Delays

Wu, Hansheng

doi:10.1109/tac.2004.825634

Cited by 175 publications

(147 citation statements)

References 13 publications

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“…On the other hand, it can be known from Fig.2 that similar to the conventional adaptation laws with σ-modification, the improved ones, proposed in Ref. (12), make the estimate values of the unknown parameters decreasing.…”

Section: Examplementioning

confidence: 99%

“…(4)- (6)). In a recent paper (12) , a class of adaptive robust tracking controllers is also proposed. It should be pointed out that the (adaptive) robust tracking controllers, proposed in Refs.…”

Section: U(t) = P(y(t) T) · · · · · · · · · · · · · · · · · · · · · mentioning

confidence: 99%

“…(10) (11) for time-delay systems). In a recent paper (12) , the problem of adaptive robust tracking and model following is also considered for a class of linear systems with delayed state perturbations, time-varying uncertain parameters, and external disturbance. However, it should be pointed out that all (adaptive) robust tracking controllers, proposed in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…(1)-(6) and Ref. (12), require the state information of the considered dynamical systems. That is, all current values of the states are assumed to be known, and these values are employed to construct some types of state feedback controllers.…”

Section: Introductionmentioning

confidence: 99%

“…For this purpose, we employ an improved adaptation laws with σ-modification, proposed in Ref. (12), to estimate the unknown bounds of the delayed state perturbations, uncertainties, and external disturbances. Then, by making use of the updated values of these unknown bounds we construct a class of output feedback controllers for robust tracking of dynamical signals.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Output Feedback Control Schemes for Robust Tracking and Model Following of Uncertain Systems with Multiple Time Delays

Wu¹

2005

IEEJ Trans.EIS

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MemberThe problem of adaptive robust tracking and model following is considered for a class of linear dynamical systems with multiple delayed state perturbations, time-varying uncertain parameters, and external disturbance. A class of adaptive output feedback controllers is proposed for robust tracking of dynamical signals. Based on the strictly positive realness of the nominal system, it is shown from the Kalman-Yakubovitch lemma that the proposed adaptive robust output feedback tracking controller can guarantee the zero-error tracking. Finally, a numerical example is given to demonstrate the validity of the results.

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Section: Examplementioning

confidence: 99%

Section: U(t) = P(y(t) T) · · · · · · · · · · · · · · · · · · · · · mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Adaptive Output Feedback Control Schemes for Robust Tracking and Model Following of Uncertain Systems with Multiple Time Delays

Wu¹

2005

IEEJ Trans.EIS

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State‐feedback adaptive tracking of linear systems with input and state delays

Миркин

Mirkin

Gutman

2008

Adaptive Control & Signal

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A state-feedback Lyapunov-based design of direct model reference adaptive control is developed for a class of linear systems with input and state delays based only on lumped delays without so-called distributed-delay blocks. The design procedure is based on the concept of reference trajectory prediction, and on the formulation of an augmented error. We propose a controller parametrization that attempts to anticipate the future states. An appropriate Lyapunov-Krasovskii type functional is found for the design and the stability analysis. A simulation example illustrates the new controller.

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Adaptive control of stochastic nonlinear systems with Markovian switching

Wang

Zhang

2012

Adaptive Control & Signal

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SUMMARYThis paper is concerned with the problem of adaptive control for a class of stochastic nonlinear systems with Markovian switching, where the upper bounds of nonlinearities of stochastic Markovian jump systems are assumed to be unknown. Firstly, an adaptation law is developed to estimate these unknown parameters. Then, a class of adaptive state feedback controller is proposed such that not only the estimated errors are bounded almost surely but also, the states of the resulting closed‐loop system are asymptotically stable almost surely. Finally, a numerical example is given to show the validity of the results.Copyright © 2012 John Wiley & Sons, Ltd.

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Adaptive Robust Tracking and Model Following of Uncertain Dynamical Systems With Multiple Time Delays

Cited by 175 publications

References 13 publications

Adaptive Output Feedback Control Schemes for Robust Tracking and Model Following of Uncertain Systems with Multiple Time Delays

Adaptive Output Feedback Control Schemes for Robust Tracking and Model Following of Uncertain Systems with Multiple Time Delays

State‐feedback adaptive tracking of linear systems with input and state delays

Adaptive control of stochastic nonlinear systems with Markovian switching

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