Title :
ℋ∞ control for nonlinear differential-algebraic equations
Author :
Wang, He-Sheng ; Yung, Chee-fai ; Chang, Fan-Ren
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
In this paper, we study the ℋ∞ control problem for nonlinear differential-algebraic equations (DAE). Necessary and sufficient conditions are derived for the existence of a controller solving the problem. We first give various sufficient conditions for the solvability of ℋ∞ control problem for DAE. Both state feedback and output feedback cases are considered. Then, necessary conditions for the output feedback control problem to be solvable are obtained in terms of two Hamilton-Jacobi inequalities plus a weak coupling condition. Moreover, a parameterization of a family of output feedback controllers solving the problem is also provided
Keywords :
H∞ control; algebra; differential equations; feedback; nonlinear control systems; ℋ∞ control; DAE; Hamilton-Jacobi inequalities; necessary and sufficient conditions; nonlinear differential-algebraic equations; output feedback controllers; state feedback; weak coupling condition; Bifurcation; Centralized control; Control systems; Differential equations; Nonlinear control systems; Nonlinear equations; Nonlinear systems; State feedback; State-space methods; Sufficient conditions;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.761939
