Generalized decentralized control for robust stabilization and $L_2$ gain of nonlinear interconnected systems

Abstract

In this paper, a generalized decentralized controller design is presented for robust stabilization and achieving certain L[Formula: see text] gain of a class of nonlinear interconnected systems via dynamic output feedback control within the LMI framework. This large-scale system is composed of linear subsystems coupled by nonlinear time-varying interconnections satisfying quadratic constraints. The proposed controller design uses the available neighbouring information to design a decentralized controller that operates at each subsystem. An LMI approach is sufficiently proposed as a feasibility problem of a BMI with respect to controller gains via dynamic output feedback structure. The application of power systems shows that the proposed controller can effectively stabilize the nonlinear interconnected systems and achieve desired performance, even in the presence of disturbances and uncertainties.

Keywords

• Generalized decentralized control
• nonlinear interconnected systems
• robust stabilization
• L gain
• bilinear matrix inequality (BMI)
• linear matrix inequality (LMI)