Title :
On convexity of H∞ Riccati solutions
Author :
Li, X.P. ; Chang, B.C.
Author_Institution :
Dept. of Mech. Eng. & Mech., Drexel Univ., Philadelphia, PA, USA
Abstract :
The authors revealed several important eigen properties of the stabilizing solutions of two H∞ Riccati equations and their product. Among them, the most prominent one is that the spectral radius of the product of these two Riccati solutions is a continuous, nonincreasing, convex function of γ in the domain of interest. Based on these properties, quadratically convergent algorithms are developed to compute the optimal H∞ norm. Two examples are used to illustrate the algorithms
Keywords :
convergence; matrix algebra; optimal control; H∞ Riccati solutions; convexity; eigen properties; optimal H∞ norm; optimal control; quadratically convergent algorithms; spectral radius; stabilizing solutions; Artificial intelligence; Control systems; H infinity control; Optimal control; Radio access networks; Riccati equations; Transfer functions;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261751
