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Adaptive Control for Uncertain Systems with Time-delay

Jiaxue Liu

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Abstract

The adaptive control for uncertain systems with time-delay is addressed in this paper.Firstly,the observer-based adaptive fuzzy controller is designed,then, the robust stability is analyzed with Lyapunov stability theory,and the sufficient stability conditions for closed-loop systems is proposed in the form of linear matrix inequalities(LMIs),observer gains and feedback gains can be gotten by solving a set of linear matrix inequalities.Finally,an example is given to illustrate the effectiveness the proposed method.

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What this paper is about

The adaptive control for uncertain systems with time-delay is addressed in this paper.Firstly,the observer-based adaptive fuzzy controller is designed,then, the robust stability is analyzed with Lyapunov stability theory,and the sufficient stability conditions for closed-loop systems is proposed in the form of linear matrix inequalities(LMIs),observer gains and feedback gains can be gotten by solving a set of linear matrix inequalities.Finally,an example is given to illustrate the effectiveness the proposed method.

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Available abstract

The adaptive control for uncertain systems with time-delay is addressed in this paper.Firstly,the observer-based adaptive fuzzy controller is designed,then, the robust stability is analyzed with Lyapunov stability theory,and the sufficient stability conditions for closed-loop systems is proposed in the form of linear matrix inequalities(LMIs),observer gains and feedback gains can be gotten by solving a set of linear matrix inequalities.Finally,an example is given to illustrate the effectiveness the proposed method.

Key concepts: Control theory (sociology), Observer (physics), Controller (irrigation), Computer science, Stability (learning theory), Lyapunov stability, Adaptive control, Fuzzy control system

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