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Robust Stabilization of Decentralized Dynamic Surface Control for a Class of Interconnected Nonlinear Systems

Bongsob Song
International Journal of Control, Automation, and Systems, vol. 5, no. 2, pp.138-146, 2007

Abstract : The analysis and design method for achieving robust stabilization of Decentralized Dynamic Surface Control (DDSC) is presented for a class of interconnected nonlinear systems. While a centralized design approach of DSC was developed in [1], the decentralized approach to deal with large-scale interconnected systems is proposed under the assumption that interconnected functions among subsystems are unknown but bounded. To provide a closed-loop form with provable stability properties, augmented error dynamics for N nonlinear subsystems with DDSC are derived. Then, the reachable set for errors of the closed-loop systems will be approximated numerically in the form of an ellipsoid in the framework of convex optimization. Finally, a numerical algorithm to calculate the L2 gain of the augmented error dynamics is presented.

Keyword : Decentralized control, dynamic surface control, interconnected systems, reachable set, L2 gain.

 
 
 
 
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