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State-feedback control for almost sure stability of stochastic nonholonomic semi-Markov jump systems
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DOI：10.1002/asjc.70184.png)
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Abstract
En 中文
In this article, we construct a state-feedback control strategy for the almost sure stability of stochastic nonholonomic semi-Markov jump systems. This work first introduces semi-Markov jump dynamics to stochastic nonholonomic systems. The dwell time depends on both the present and subsequent modes, significantly reducing conservatism in dwell time constraints. With the aid of a novel state transformation, the stochastic nonholonomic systems are decoupled. Based on stochastic analysis principles, the backstepping technique, and a multiple Lyapunov-like function framework, a novel controller is designed, and sufficient conditions are obtained to achieve almost sure stability via the state-feedback controller. In addition, by adopting the switching strategy, the phenomenon of uncontrollability is eliminated. Finally, an example demonstrates the effectiveness and feasibility of the proposed scheme.
Keywords:
almost sure stability
multiple Lyapunov-like function
state-feedback control
stochastic nonholonomic semi-Markov jump systems
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