The Design of Decentralized Robust H_∞ Controller for a Class of Uncertain Singular Large-scale System with Time-delay

摘要

The decentralized robust H_∞ controller design problem is considered for a class of interconnected singular large-scale system with time-delay and norm-bounded time-invariant parameter uncertainties. The problem we address is to design a decentralized robust H_∞ state feedback controller such that the closed-loop system is admissible while satisfying a prescribed H_∞, norm bound for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust H_∞ state feedback controller is proposed via Linear Matrix Inequality (LMI) approach. When this condition is feasible, the desired state feedback decentralized robust H_∞ controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach.