Quantised output-feedback design for networked control systems using semi-Markov model approach

Weiyang Sun and Zepeng Ning

International Journal of Systems Science, 2020, vol. 51, issue 9, 1637-1652

Abstract: This paper focuses on the stability analysis and controller design for a family of discrete-time linear systems with quantised signals in both control input channel and measurement output channel. Quantisation density of each quantizer is considered to be variable, and the variation is governed by a semi-Markov chain. The quantisation density can be adjusted to reduce the amount of transmitted data if the requirement of system performance allows. By constructing a quantisation-error-dependent Lyapunov function, sufficient conditions for σ-error mean-square stability of the considered system are given. With the aid of cone complementarity linearisation algorithm, a set of mode-dependent output-feedback controllers is designed to achieve the required σ-error mean-square stability of the closed-loop system. Finally, a numerical example is provided to illustrate the validity of the proposed control method.

Date: 2020
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DOI: 10.1080/00207721.2020.1772400

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