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Available online at www.sciencedirect.com Systems & Control Letters 50 (2003) 383393

Summary: Available online at www.sciencedirect.com
Systems & Control Letters 50 (2003) 383­393
Decentralized risk-sensitive controller design for
strict-feedback systems
Gurdal Arslana;, Tamer Basarb
aDepartment of Mechanical and Aerospace Engineering, University of California, 46-127 Engineering IV,
Los Angeles, CA 90095-1597, USA
bCoordinated Science Laboratory, University of Illinois, 1308 West Main Street, Urbana, IL 61801-2307, USA
Received 24 September 2002; received in revised form 8 April 2003; accepted 10 May 2003
This paper studies decentralized control of uncertain systems. The class of systems focused on is a set of stochastic
strict-feedback systems which interact through their outputs, and performance is measured with respect to a risk sensitive
cost criterion. The unknown nonlinear interconnection terms are assumed to be bounded by some known functions of the
outputs of the subsystems, multiplied by some unknown parameters. The controllers designed for each subsystem have access
only to the information available with regard to the respective subsystem, and they achieve an arbitrarily small value for the
risk-sensitive cost for the overall system. Under this completely decentralized control scheme, all closed-loop signals remain
bounded in probability.
c 2003 Elsevier B.V. All rights reserved.
Keywords: Stochastic strict-feedback systems; Risk sensitive control; Decentralized systems; Backstepping; Uncertain dynamic systems;


Source: Arslan, Gürdal - Department of Electrical Engineering, University of Hawai'i at Manoa


Collections: Engineering