Control and dynamics of linear systems under finite quantised feedback
by Wing Shing Wong; Hui Cheng
International Journal of Systems, Control and Communications (IJSCC), Vol. 3, No. 4, 2011

Abstract: This paper addresses control problems and analyses dynamics for linear systems under finite quantised feedback. The optimal one-bit control laws are developed, which minimise either an asymptotic time-averaged expected cost function or an asymptotic expected cost function. The closed-loop system with one-bit controller is a piecewise linear transformation. In the paper, the dynamical behaviour of the closed-loop system is investigated via invariant measures. The invariant distribution can be obtained from the induced matrix when the closed-loop system is a Markov transformation. It is shown that there are infinitely many cases of Markov transformations.

Online publication date: Tue, 31-Mar-2015

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