DocumentCode :
574280
Title :
Guaranteed cost distributed fuzzy control design for a class of nonlinear first-order hyperbolic PDE systems
Author :
Jun-Wei Wang ; Huai-Ning Wu
Author_Institution :
Sch. of Autom. Sci. & Electr. Eng., Beihang Univ. (Beijing Univ. of Aeronaut. & Astronaut.), Beijing, China
fYear :
2012
fDate :
27-29 June 2012
Firstpage :
4375
Lastpage :
4380
Abstract :
This paper is concerned with the guaranteed cost distributed fuzzy (GCDF) control design problem for a class of nonlinear distributed parameter systems described by first-order hyperbolic partial differential equations (PDEs). Using the Takagi-Sugeno (T-S) fuzzy PDE modeling method, a T-S fuzzy PDE model is initially proposed to accurately represent the nonlinear PDE system. Based on the resulting T-S fuzzy PDE model, a distributed fuzzy state feedback controller is subsequently developed to asymptotically stabilize the PDE system and provide an upper bound of the quadratic cost function. The outcome of GCDF control problem is formulated as a space-dependent linear matrix inequality (SDLMI) optimization problem. Moreover, a suboptimal GCDF controller design is proposed to minimize the upper bound of the cost function. The finite difference method in space and the existing linear matrix inequality (LMI) optimization techniques are employed to approximately solve the SDLMI optimization problem. Finally, the proposed design method is applied to the distributed control of a nonisothermal plug-flow reactor (PFR).
Keywords :
asymptotic stability; chemical reactors; control system synthesis; distributed control; distributed parameter systems; finite difference methods; fuzzy control; linear matrix inequalities; nonlinear control systems; optimisation; partial differential equations; state feedback; SDLMI optimization problem; Takagi-Sugeno fuzzy PDE modeling method; asymptotic stability; distributed control; distributed fuzzy state feedback controller; finite difference method; first-order hyperbolic partial differential equation; guaranteed cost distributed fuzzy control design; nonisothermal plug-flow reactor; nonlinear PDE system; nonlinear distributed parameter system; nonlinear first-order hyperbolic PDE system; quadratic cost function; space-dependent linear matrix inequality optimization problem; suboptimal GCDF controller design; Control design; Cost function; Fuzzy control; Linear matrix inequalities; Mathematical model; Upper bound;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
ISSN :
0743-1619
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2012.6314865
Filename :
6314865
Link To Document :
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