Title :
Continuity properties of solutions to H2 and H∞ Riccati equations
Author :
Stoorvogel, A.A. ; Saberi, A.
Author_Institution :
Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
Abstract :
In H2 and H∞ optimal control (semi-) stabilizing solutions of algebraic Riccati equations play an essential role. It is well-known that these solutions might have discontinuities as a function of the system parameters. The paper shows that these discontinuities are directly linked to nonleft-invertibility and, in contrast to what one might think, unrelated to zeros on the imaginary axis
Keywords :
H∞ control; Riccati equations; H∞ Riccati equations; H∞ optimal control; H2 Riccati equations; H2 optimal control; algebraic Riccati equations; continuity properties; imaginary axis zeros; nonleft-invertibility; semi-stabilizing solutions; Art; Eigenvalues and eigenfunctions; Feedback loop; H infinity control; Hydrogen; Linear matrix inequalities; Model driven engineering; Riccati equations; Stability;
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.1995.478923
