Decentralized Dynamic Output Feedback Control of Nonlinear Interconnected Systems

• Published in: IEEE transactions on automatic control Vol. 55; no. 8; pp. 1964 - 1970
• Main Authors: Kalsi, Karanjit, Jianming Lian, Żak, Stanislaw H
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.08.2010; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Asymptotic properties; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control systems; Control theory. Systems; Couplings; Decentralized; Decentralized control; dynamic output feedback; Dynamical systems; Exact sciences and technology; Interconnected systems; Interconnections; Linear feedback control systems; Linear matrix inequalities; Matrices; Modelling and identification; Nonlinear control systems; Nonlinear dynamics; nonlinear interconnected system; Nonlinearity; Observers; Output feedback; Robustness; Sliding mode control; sliding mode observer; non-linear interconnected system; Variable structure control; dynamic control; Sliding mode; Interconnected power system; Non linear control; Feedback regulation; sliding mode observer; Non linear system; Optimization; Closed feedback; Robust control; dynamic output feedback; Decentralized control; Distributed control; Linear matrix inequality; Asymptotic approximation; Coupling; System identification; State estimation; Output feedback
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2010.2050715

The problem of robust stabilization is considered for a class of nonlinear interconnected systems, which consist of linear subsystems coupled by nonlinear interconnections that are unknown and quadratically bounded. A decentralized dynamic output feedback based linear controller is proposed, where the feedback gain matrices of local controllers are obtained by solving an optimization problem subject to linear matrix inequalities. Local sliding mode observers are employed to asymptotically estimate the subsystems' states and, at the same time, to reconstruct the unknown nonlinear interconnections. The closed-loop system driven by the proposed decentralized dynamic output feedback controller is guaranteed to be connectively stable with maximized interconnection bounds.