Output regulation of a class of continuous-time Markovian jumping systems

Authors:
Shuping He;Zhengtao Ding;Fei Liu
Affiliations:
College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China and Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Auto ...;Control Systems Centre, School of Electrical and Electronic Engineering, University of Manchester, Sackville Street Building, Manchester M13 9PL, UK;Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, China
Venue:
Signal Processing
Year:
2013

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Abstract

This paper studies output regulation for continuous-time Markovian jumping systems (MJSs), for which mode-dependent regulation equations are investigated. With the extension of regulation scheme to MJSs by stochastic Lyaponov-Krasovskii functional framework, sufficient conditions are, respectively, obtained for state feedback and error feedback. The resulting closed-loop system is guaranteed to be stochastically stable and the output regulation error almost asymptotically converges to zero. A semi-definite optimization approach via disciplined convex programming is adopted to ensure relaxed solutions of the regulation equations. Finally, two numerical simulations are given to illustrate the performance of the proposed approach.