articleIEEE Transactions on Automatic ControlJul 21, 2016Closed access

Passivity-Based Asynchronous Control for Markov Jump Systems

State Key Laboratory of Industrial Control Technology · University of Adelaide · +2 more institutions

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Abstract

The issue of asynchronous passive control is addressed for Markov jump systems in this technical note. The asynchronization phenomenon appears between the system modes and controller modes, which is described by a hidden Markov model. Accordingly, a hidden Markov jump model is used to name the resultant closed-loop system. By utilizing the matrix inequality technique, three equivalent sufficient conditions are obtained, which can guarantee the hidden Markov jump systems to be stochastically passive. Based on the established conditions, the design of asynchronous controller, which covers the well-known mode-independent controller and synchronous controller as special cases, is addressed. The DC motor device is…

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