Delay-dependent Output Feedback Decentralized Robust Control for Discrete Interconnected Systems
离散关联系统的时滞相关输出反馈分散鲁棒控制

A delay difference inequality method (DDIM) is proposed to study the dynamic output feedback decentralized robust control for uncertain discrete interconnected systems with delays based on an observer. First, a high dimensional discrete comparison principle and a delay difference inequality are established. Second, the delay dependent conditions for decentralized robust stabilization of the systems are presented by means of dynamic output feedback, the high dimensional discrete compari-son principle and the delay difference inequality. This method is easy to be understood and used in practice. It bypasses the difficulty of selecting Lyapunov functions. Finally, a numerical example demonstrates the validity of the proposed method.