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Xu, Shengyuan; Chen, Tongwen

Robust \(h_{\infty }\) control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers. (English) Zbl 1157.93371

Syst. Control Lett. 51, No. 3-4, 171-183 (2004).
Summary: This paper considers the problem of robust \(H_{\infty }\) control for uncertain discrete systems with time-varying delays. The system under consideration is subject to time-varying norm-bounded parameter uncertainties in both the state and measured output matrices. Attention is focused on the design of a full-order exponential stable dynamic output feedback controller which guarantees the exponential stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed level for all admissible uncertainties. In terms of a linear matrix inequality (LMI), a sufficient condition for the solvability of this problem is presented, which is dependent on the size of the delay. When this LMI is feasible, the explicit expression of the desired output feedback controller is also given. Finally, an example is provided to demonstrate the effectiveness of the proposed approach.

Cited in 26 Documents

MSC:

93B36 \(H^\infty\)-control
93C23 Control/observation systems governed by functional-differential equations
93C55 Discrete-time control/observation systems

Keywords:

Discrete systems; Exponential stability; Linear matrix inequality; Output feedback; Robust \(H_{\infty}\) control; Time-varying delay; Uncertain systems
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\textit{S. Xu} and \textit{T. Chen}, Syst. Control Lett. 51, No. 3--4, 171--183 (2004; Zbl 1157.93371)
Full Text: DOI

References:

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