DocumentCode :
3169714
Title :
Synthesis of Discrete-time Nonlinear Systems: A SOS Approach
Author :
Xu, Jun ; Xie, Lihua ; Wang, Youji
Author_Institution :
Nanyang Technol. Univ., Singapore
fYear :
2007
fDate :
9-13 July 2007
Firstpage :
4829
Lastpage :
4834
Abstract :
In this paper, we discuss the stabilization problem for a class of discrete-time nonlinear polynomial systems. By employing state-dependent polynomial Lyapunov functions, a solution based on the sums of squares (SOS) theory is proposed for state feedback stabilization with or without Hinfin performance. Sufficient solvability conditions are given which can be solved by the recently developed SOS solvers.
Keywords :
Lyapunov methods; control system synthesis; discrete time systems; nonlinear systems; polynomials; state feedback; discrete-time nonlinear systems; stabilization problem; state feedback stabilization; state-dependent polynomial Lyapunov functions; sums of squares theory; Control system synthesis; Control systems; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Sliding mode control; Stability analysis; State feedback;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
ISSN :
0743-1619
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2007.4282768
Filename :
4282768
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3169714
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