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Robust analysis and synthesis of linear time-delay systems with norm-bounded time-varying uncertainty. (English) Zbl 0875.93110
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 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 analysis and synthesis method can be used to solve this problem.
MSC:
93B36H -control
34K35Functional-differential equations connected with control problems