Optimization in Control System Design
نویسندگان
چکیده
Abstmct This paper reviews i) the background for the modern Hw control theory, and then ii) how it led to the modern optimization theory such as those using LMIs (linear matrix inequalities) and BMIs (bilinear matrix inequalities). Starting from the simplest sensitivity minimization problem, we give solutions via the Nevalinna-Pick interpolation and the Nehari theorem. The latter lea,ds to a Riccati equation on which most of the Hw solutions are based. This in turn leads to the modern approach using mathematical programming such as LMIs and BMIs. Two types of global optimization algorithms to solve BMIs are introduced.
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