Title :
Robust H∞ nonlinear control via fuzzy static output feedback
Author :
Lo, Ji-Chang ; Lin, Min-Long
Author_Institution :
Dept. of Mech. Eng., Nat. Central Univ., Taiwan
Abstract :
An optimization technique is proposed to represent a class of nonlinear systems by a Takagi-Sugeno uncertain fuzzy model. Then, a robust H∞ quadratic stabilization problem to the uncertain fuzzy systems via static output feedback is investigated. It is proved that the existence of a set of solvable bilinear matrix inequalities (BMIs) suffices to guarantee the quadratic stabilization of an uncertain fuzzy system in an H∞ sense. A linear matrix inequality formulation is suggested to alleviate the difficulties of BMI that are inherited from the stabilizability problems via static output feedback control. Both continuous- and discrete-time systems are treated in a unified approach and connections to state feedback and dynamic-output feedback are addressed.
Keywords :
H∞ control; bilinear systems; continuous time systems; discrete time systems; feedback; fuzzy control; linear matrix inequalities; nonlinear control systems; robust control; uncertain systems; Takagi-Sugeno uncertain fuzzy model; bilinear matrix inequality; continuous-time system; discrete-time system; dynamic output feedback; linear matrix inequality; optimization; quadratic stabilization; robust H∞ nonlinear control; state feedback; static output feedback; Automatic control; Control system synthesis; Control systems; Fuzzy control; Multi-layer neural network; Neural networks; Output feedback; Recurrent neural networks; Robust control; Robustness;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.818623
