Stability and guaranteed cost control for linear impulsive systems with random impulses: Application to stochastic event-triggered control
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL(2024)
Abstract
This paper proposes a systematic framework for stability and guaranteed cost control of linear impulsive systems subject to random time- and event-triggering impulses. Moment stability criteria and design methods of time- and event-triggered controllers with guaranteed quadratic performance for the impulsive system are established. It shows that the proposed event-triggered controller in the sense that it guarantees at least the same quadratic performance function bound as the designed time-triggered guaranteed cost controller, however, with a larger, or at most equal, average inter-transmission time. Based on the proposed framework of random-impulses systems, a stochastic dynamic event-triggered control strategy is proposed to solve sampled-data control systems in the presents of sporadic measurements or stochastic sampling. Numerical simulations illustrate the effectiveness of the proposed theoretical results.
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Key words
event-triggered control,guaranteed cost control,impulsive systems,random impulses
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