Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9953586 | Nonlinear Analysis: Hybrid Systems | 2019 | 14 Pages |
Abstract
In this paper, the robust mixed Hâ and passivity-based control problem is investigated for a class of discrete-time Markov jump nonlinear systems with uncertainties, quantization and time-varying transition probabilities. In addition, the time-varying transition probability matrices in the considered system are described by a polytope set. Further, the measurement size reduction technique is implemented which consists of two factors, namely, the logarithmic quantization and the measurement element selection scheme. In order to reflect the imprecision in controller implementation, the additive controller gain problem is considered. Based on the Lyapunov stability theory, a new set of conditions is derived such that the resulting closed-loop Markov jump system is stochastically stable with a prescribed mixed Hâ and passivity performance index. Finally, the effectiveness of the proposed control scheme is illustrated by two numerical examples including an application example based on a DC motor device.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
M. Sathishkumar, R. Sakthivel, Faris Alzahrani, B. Kaviarasan, Yong Ren,