Title :
Iterative computation of the optimal H∞ norm by using two-Riccati-equation method
Author :
Chang, B.C. ; Li, X.P. ; Yeh, H.H. ; Banda, S.S.
Author_Institution :
Dept. of Mech. Eng. & Mech., Drexel Univ., Philadelphia, PA, USA
Abstract :
The two-Riccati-equation method solution to a standard H ∞ control problem can be used to characterize all possible stabilizing optimal or suboptimal H∞ controllers if the optimal or suboptimal H∞ norm is given. An iterative algorithm for computing the optimal H ∞ norm is proposed. The algorithm employs fixed-point, double secant and bisection to guarantee a superlinear convergence
Keywords :
control system synthesis; iterative methods; matrix algebra; optimal control; stability; bisection; double secant; fixed-point; iterative algorithm; optimal H∞ norm; stability; suboptimal H∞ norm; superlinear convergence; two-Riccati-equation method; Contracts; Eigenvalues and eigenfunctions; H infinity control; Iterative algorithms; Iterative methods; Mechanical engineering; NASA; Optimal control; Riccati equations; Testing;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203441
