On Linear Canonical Controllers Within The Unfalsified Control Framework

Abstract A canonical controller (cf. van der Schaft [2002]), which was proposed by van der Schaft, is a controller yielding a given specification with a plant behavior. In this paper, for a given data of a plant and a specification, we provide a synthesis of linear canonical controllers without using mathematical models of a plant. A desired canonical controller can be obtained by solving linear algebraic equations which consist of a data and a specification. We also see that a canonical controller designed by proposed method also unfalsifies the actual data and a specification, so our result is also regarded as one of synthesis of unfalsified controllers (cf. Safonov and Tsao [1997]).

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