Asynchronous Guaranteed Cost Control of 2-D Hidden Bernoulli Jump Roesser Systems

This paper focuses on the issue of asynchronous guaranteed cost control for two-dimensional Bernoulli jump Roesser systems. To represent the asynchronous dynamics caused by mode mismatch, a hidden Bernoulli model is proposed, and the asynchronous control law is developed based on this model. By utilizing the two-dimensional Lyapunov technique and the linear matrix inequality approach, sufficient criteria are established to guarantee the asymptotic stability of the closed-loop system while ensuring a bound on the predetermined guaranteed cost. Finally, an algorithm is proposed to summarize the design process for the optimal guaranteed cost controller, accompanied by a numerical example to illustrate its effectiveness.