Robust Decentralized Control - A Linear Matrix Inequality(LMI)-Based Design

Chieh-Chuan Feng

This paper investigates decentralized control for linear time-invariant systems with norm-bounded time-varying structured uncertainty. We derive LMI conditions ensuring robust stability. We also show how to incorporate performance robustness, where performance is measured by the H_¥ gain of the decentralized system. The potential of the proposed technique has been demonstrated by a simulation example of three coupled inverted pendulums.