DocumentCode :
3315498
Title :
Stable Model Predictive Control of Fuzzy Affine Systems with Input and State Constraints
Author :
Zhang, Tiejun ; Feng, Gang ; Lu, Jianhong
Author_Institution :
City Univ. of Hong Kong, Hong Kong
fYear :
2007
fDate :
23-26 July 2007
Firstpage :
1
Lastpage :
6
Abstract :
In this paper, a fuzzy affine model, which is more capable of representing strongly nonlinear dynamics, is used for predictive controller design. Based on piecewise quadratic Lyapunov functions, the proposed fuzzy affine model predictive control approach can ensure both the closed-loop system stability and the satisfactory transient control performance even under input and state constraints. With the help of partitioned degenerate ellipsoids and S-procedure, the large terminal invariant set of a fuzzy affine system can be achieved offline by solving a convex semi-definite programming problem subject to some linear matrix inequalities, rather than the non-convex bilinear matrix inequalities as in conventional fuzzy affine model based control. Then with the associated terminal cost, the resulting online open-loop predictive control approach can be formulated as a standard quadratic programming problem, which is readily solvable. Simulation results have demonstrated the performance of the proposed approach.
Keywords :
Lyapunov methods; closed loop systems; fuzzy systems; linear matrix inequalities; nonlinear dynamical systems; open loop systems; predictive control; quadratic programming; closed-loop system stability; fuzzy affine system; linear matrix inequalities; nonconvex bilinear matrix inequalities; nonlinear dynamics; open-loop predictive control approach; piecewise quadratic Lyapunov function; quadratic programming problem; semi-definite programming problem; stable model predictive control; Ellipsoids; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear dynamical systems; Predictive control; Predictive models; Stability;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
Conference_Location :
London
ISSN :
1098-7584
Print_ISBN :
1-4244-1209-9
Electronic_ISBN :
1098-7584
Type :
conf
DOI :
10.1109/FUZZY.2007.4295357
Filename :
4295357
Link To Document :
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