Title :
Mixed H2/H∞ control of nonlinear systems
Author_Institution :
Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA
Abstract :
Mixed H2/H∞ control problem with internal stability via state feedback is considered for nonlinear systems. The problem consists in combining the performance requirements of quadratic optimal controllers with the robustness properties of H∞ controllers. It is shown that under appropriate assumptions, the problem is solvable if a pair of cross-coupled Hamilton-Jacobi-Isaacs equations allows smooth solutions. Analogous results are also developed for discrete-time nonlinear systems, by using the Taylor expansion method
Keywords :
H∞ control; discrete time systems; nonlinear control systems; robust control; state feedback; Taylor expansion method; cross-coupled Hamilton-Jacobi-Isaacs equations; discrete-time nonlinear systems; internal stability; mixed H2/H∞, control; performance requirements; quadratic optimal controllers; robustness properties; state feedback; Control systems; Game theory; Hydrogen; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Optimal control; Riccati equations; Stability; State feedback;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478753
