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Decentralized dynamic output feedback for robust stabilization of a class of nonlinear interconnected systems
Authors:Srdjan S Stankovi? [Author Vitae]  Dušan M Stipanovi? [Author Vitae] [Author Vitae]
Affiliation:a Faculty of Electrical Engineering, University of Belgrade, Serbia
b Department of Industrial and Enterprise Systems Engineering and the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Illinois, USA
c School of Engineering, Santa Clara University, Santa Clara, CA, USA
Abstract:The objective of this paper is to propose an approach to robust stabilization of systems which are composed of linear subsystems coupled by nonlinear time-varying interconnections satisfying quadratic constraints. The proposed algorithms, which are formulated within the convex optimization framework, employ linear dynamic feedback structure involving local Luenberger-type observers. It is also shown how the new methodology can produce improved results if interconnections have linear parts that are known a priori. Examples of output stabilization of inverted pendulums and decentralized control of a platoon of vehicles are used to illustrate the applicability of the design method.
Keywords:Nonlinear interconnected systems  Decentralized dynamic output feedback  LMIs  Robustness  Control of platoons of vehicles
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