On the design of decentralized control of linear time-varying interconnected systems with unmeasurable states via Riccati equations

In this paper, a decentralized stabilization scheme of linear time-varying large-scale interconnected systems with unmeasurable states is proposed. These interactions among subsystems are also time-varying and affect each subsystem through its input. First a decentralized observer scheme for time-varying interconnected system is constructed by the dual optimal control solution to obtain good estimations for the unmeasurable states. Based on these observer states, a time-varying decentralized feedback law is introduced to achieve the global system exponential stability. The solutions of time varying Riccati equations are obtained by backward Euler’s method and implemented with the original system dynamics. Computer simulations of the responses of an example are also conducted to show the effectiveness of the proposed approach.