Paper Info
Title
Non-fragile guaranteed cost fuzzy control for nonlinear first-order hyperbolic partial differential equation systems
Abstract
This paper concerns the non-fragile guaranteed cost control for nonlinear first-order hyperbolic partial differential equations (PDEs), and the case of hyperbolic PDE systems with parameter uncertainties is also addressed. A Takagi-Sugeno (T-S) fuzzy hyperbolic PDE model is presented to exactly represent the nonlinear hyperbolic PDE system. Then, the state-feedback non-fragile controller distributed in space is designed by the parallel distributed compensation (PDC) method, and some sufficient conditions are derived in terms of spatial differential linear matrix inequalities (SDLMIs) such that the T-S fuzzy hyperbolic PDE system is asymptotically stable and the cost function keeps an upper bound. Moreover, for the nonlinear hyperbolic PDE system with parameter uncertainties, using the above-design approach, the robust non-fragile guaranteed cost control scheme is obtained. Furthermore, the finite-difference method is employed to solve the SDLMIs. Finally, a nonlinear hyperbolic PDE system is presented to illustrate the effectiveness and advantage of the developed design methodology.
Year
DOI
Venue
2015
10.1080/00207160.2014.884711
Int. J. Comput. Math.
Keywords
Field
DocType
t&#8211,s fuzzy hyperbolic pde system,parameter uncertainties,asymptotically stable,linear matrix inequalities,non-fragile guaranteed cost control
Mathematical optimization,Nonlinear system,Control theory,Upper and lower bounds,Fuzzy logic,Fuzzy control system,Elliptic partial differential equation,Partial differential equation,Mathematics,Hyperbolic partial differential equation,Stability theory
Journal
Volume
Issue
ISSN
92
1
0020-7160
Citations 
PageRank 
References 
1
0.36
17
Authors
3
Name
Order
Citations
PageRank
Minglai Chen1101.49
Jun-Min LI239036.09
Wei-Yuan Zhang3164.03