Design of Information Channels for Optimization and Stabilization in Networked Control
نویسنده
چکیده
I n this chapter, we review some recent contributions and present new findings on the properties of information/measurement channels in stabilization and optimization problems in networked control. First, we discuss a finite horizon optimal control problem, and investigate structural and topological properties of such a problem over the space of information channels. Existence of optimal channels is discussed and structure and existence of optimal quantization policies is investigated, first for static settings and then for dynamic settings. We then consider the stabilization problem of open-loop unstable linear systems controlled over communication channels. We present tight necessary and sufficient conditions for stochastic stabilizability of such systems driven by Gaussian noise over channels. Stochastic stability notions include ergodicity and the existence of finite second moments. In the analysis, a partial order for optimization and a total order for stabilization are obtained on the set of channels and some research directions are presented. 1.
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