Observer-Based Decentralized Controller Design for Discrete-Time Interconnected Systems with Unknown Interconnections

Abstract

This paper presents an observer-based decentralized controller design method for asymptotic stabilization of a class of interconnected systems with unknown interconnections. The unknown interconnection is assumed to be satisfying only the quadratic inequality. Based on the closed-loop subsystem, the decentralized control objective is defined to asymptotically stabilize and optimize the maximum interconnection bound. In the sense of Lyapunov, the sufficient condition is developed to achieve the control objective, and its condition is derived in terms of linear matrix inequalities (LMIs). Finally, th simulation example of three inverted pendulums coupled by springs illustrates the validity of the proposed technique.