Title :
Singular nonlinear H∞ optimal control by state feedback
Author :
Maas, W.C.A. ; Van der Schaft, A.J.
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
Abstract :
Studies the singular nonlinear state feedback H∞ problem for affine nonlinear systems. The authors´ approach yields a sufficient and, under an extra assumption, also necessary condition for a singular nonlinear system to construct a state feedback which leads to an L2 gain less then a certain bound γ for the closed loop system. This condition is in terms of a set of Hamilton Jacobi inequalities parameterised by a parameter ε
Keywords :
H∞ control; closed loop systems; nonlinear control systems; singular optimal control; state feedback; Hamilton Jacobi inequalities; L2 gain; affine nonlinear systems; closed loop system; singular nonlinear H∞ optimal control; state feedback; Closed loop systems; Jacobian matrices; Linear systems; Mathematics; Nonlinear systems; Optimal control; Robustness; State feedback; State-space methods; Uncertainty;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411249
