On the optimal control of non-expansive or passive systems
نویسنده
چکیده
The bounded-real and positive-real lemmas solve two important linear-quadratic optimal control problems related to the concepts of non-expansive and passive systems, respectively. The lemmas assume controllability, yet a non-expansive or passive system can be uncontrollable. In this paper, we solve these optimal control problems without assuming controllability. We obtain necessary and sufficient conditions for a system to be nonexpansive (passive) which augment the bounded-real (positivereal) condition with new conditions relating to the uncontrollable modes of the system. A characterisation of the set of solutions to the linear matrix inequalities in the bounded-real and positivereal lemmas is obtained.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1703.08153 شماره
صفحات -
تاریخ انتشار 2017