Series Info:Systems Analysis Modelling Simulation 42
Type:Article
Keywords:Disturbance attenuation
,
Linear matrix inequalities (LMIs)
,
Nonlinear time-delay systems
,
Robust control
,
Computer simulation
,
Feedback
,
Input output programs
,
Parametric devices
,
Problem solving
,
Robustness (control systems)
,
Stabilization
,
System stability
,
Disturbance attenuation
,
Linear matrix inequalities (LMIs)
,
Nonlinear time-delay systems
,
Robust state-feedback
,
Nonlinear control systems
Abstract:
The robust ?? control problem of a class of uncertain nonlinear time-delay systems is considered in this paper. The parametric uncertainties are real time-varying and norm-bounded and the nonlinearities are state-dependent and cone-bounded. The delays are time-varying and bounded both in the state and at the input. We provide sufficient conditions for robust stability and robust state-feedback stabilization with disturbance attenuation. Then, we establish sufficient conditions for designing a linear dynamic observer-based controller which stabilizes the uncertain time-delay system and guarantees an ??-norm bound constraint on the disturbance attenuation for all admissible uncertainties and unknown delays. Several examples are simulated to illustrate the developed theory. � 2002 Taylor & Francis Ltd.
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