A Fixed-Order Robust Decentralized Dynamic Output Feedback Controller Design for Large Scale Systems with Nonlinear Uncertainty

The objective of this paper is to propose a fixed-order non-fragile dynamic output control scheme within the LMI framework for robust decentralized stabilization of systems composed of linear dynamic subsystems coupled by static nonlinear interconnections satisfying quadratic constraints. The procedure utilizes the general linear dynamic feedback structure in presence of parameter uncertainty. In this design, the maximum robustness degree of the closed loop system is obtained through solving the optimization problem under stabilizing conditions given in the form of LMIs, and then the fixed order controller parameters are calculated based on the obtained results. A numerical example illustrates the applicability and effectiveness of the method.