Asynchronous Guaranteed Cost Control of 2-D Markov Jump Roesser Systems
研究了二维马尔可夫跳跃Roesser系统中因模式不匹配导致的异步现象，设计了基于隐马尔可夫模型的异步状态反馈控制律，确保系统渐近稳定并满足预设成本约束。
This article is concerned with the problem of guaranteed cost control for 2-D Markov jump Roesser systems with mismatched modes. The hidden Markov model is introduced to describe the asynchronous phenomenon caused by mismatched modes, and an asynchronous linear state-feedback control law is designed based on this model. With the help of the 2-D Lyapunov function and linear matrix inequality (LMI) techniques, sufficient conditions are established to ensure the asymptotic stability of the concerned system with a bound of the predefined guaranteed cost under three different boundary conditions, respectively. Finally, an algorithm that concludes the design processes of the optimal asynchronous guaranteed cost control law is proposed, and a numerical example is provided to verify its effectiveness.