Title :
Adaptive fuzzy solution of Hamilton-Jacobi partial differential inequality and its application to H∞ nonlinear control
Author :
Chen, Yung-Yue ; Chen, Bor-Sen
Author_Institution :
Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan
Abstract :
An adaptive fuzzy control approach based on solving Hamilton-Jacobi partial differential inequality (HJPDI) is proposed for the nonlinear H∞ control problem, which is commonly encountered in the nonlinear robust control system analysis and design. The solution of Hamilton-Jacobi partial differential inequality is approximated using adaptive fuzzy on-line learning along the dynamic trajectories of the closed-loop system.
Keywords :
H∞ control; adaptive control; closed loop systems; fuzzy control; nonlinear control systems; robust control; state feedback; H∞ nonlinear control; Hamilton-Jacobi partial differential inequality; adaptive fuzzy control; adaptive fuzzy online learning; adaptive fuzzy solution; closed-loop system; dynamic trajectories; nonlinear robust control system analysis; Adaptive control; Control systems; Control theory; Fuzzy control; Fuzzy systems; Nonlinear control systems; Nonlinear systems; Riccati equations; Robustness; State feedback;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1009053