NDLI: Asymptotic and L2 stability analysis for a class of nonlinear discrete-time control systems subject to actuator saturation

Content Provider	IEEE Xplore Digital Library
Author	Oliveira, M.Z. Gomes da Silva, J.M. Coutinho, D.F.
Copyright Year	2010
Description	Author affiliation: Group of Autom. & Control Syst., PUCRS, Porto Alegre, Brazil (Coutinho, D.F.) \|\| Dept. of Electr. Eng., UFRGS, Porto Alegre, Brazil (Oliveira, M.Z.; Gomes da Silva, J.M.)
Abstract	This paper addresses the stability characterization problem for a class of nonlinear discrete-time control systems subject to actuator saturation and energy bounded disturbance inputs. The considered class of systems covers all nonlinear discrete-time systems that can be modeled by rational difference equations. The results are based on a recursive algebraic representation of the nonlinear control system and a generalized sector bound condition to deal with the saturation effect. From these elements, LMI based conditions are proposed to analyze the asymptotic stability and both the $L_{2}$ input-to-state and input-to-output stability properties. The proposed conditions are then incorporated into convex optimization problems to either maximize an ellipsoidal estimate of the region of attraction or a bound on the admissible $L_{2}$ disturbances, and also to minimize a bound on the system $L_{2}-gain.$
Starting Page	5179
Ending Page	5184
File Size	849074
Page Count	6
File Format	PDF
ISBN	9781424474264
ISSN	07431619
e-ISBN	9781424474271
DOI	10.1109/ACC.2010.5530696
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Control systems Nonlinear control systems Stability analysis Actuators Asymptotic stability Nonlinear systems Difference equations Upper bound Automation Automatic control
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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