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Yuan, Lisong

Robust analysis and synthesis of linear time-delay systems with norm-bounded time-varying uncertainty. (English) Zbl 0875.93110

Syst. Control Lett. 28, No. 5, 281-289 (1996).
Summary: The problems of robust analysis and synthesis of systems with state-delay and norm-bounded time-varying parameter uncertainty are studied. It is shown that these problems are equivalent to the \(H_{\infty}\) analysis and synthesis problems of an auxiliary system, which is independent of the time-delay and the uncertainty in the system. The necessary and sufficient conditions for the equivalence are developed. Thus any standard \(H_{\infty}\) analysis and synthesis method can be used to solve this problem.

Cited in 3 Documents

MSC:

93B36 \(H^\infty\)-control
34K35 Control problems for functional-differential equations

Keywords:

Uncertain system; Time-delay system; Robust control; Uncertainty document

Software:

LMI toolbox
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\textit{L. Yuan}, Syst. Control Lett. 28, No. 5, 281--289 (1996; Zbl 0875.93110)
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