Tracking control of discrete-time Markovian jump systems

This paper studies the output feedback H∞ control problem of event-triggered Markov-type networked control systems. Firstly, a new Lyapunov–Krasovskii functional is constructed, which contains an event-triggered scheme, Markovian jump system, and quantified information. Secondly, the upper bound of the weak infinitesimal generation operator of the Lyapunov–Krasovskii function is estimated by combining Wirtinger’s-based integral inequality and reciprocally convex inequality. Finally, based on the Lyapunov stability theory, the closed-loop stability criterion of event-triggered Markov-type networked control systems and the design method of the output feedback H∞ controller for the disturbance attenuation level γ are given in the terms of linear matrix inequalities. The effectiveness and superiority of the proposed method are verified using three numerical examples.

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Tracking control of discrete-time Markovian jump systems

Cited by 3 publications

References 30 publications

Model-free optimal tracking policies for Markov jump systems by solving non-zero-sum games

Model-free optimal tracking policies for Markov jump systems by solving non-zero-sum games

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Event-Triggered Output Feedback H∞ Control for Markov-Type Networked Control Systems

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