Title :
Generalized Riccati equations for the full- and reduced-order mixed-norm H2/H∞ standard problem
Author :
Haddad, Wassim M. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Florida Inst. of Technol., Melbourne, FL, USA
Abstract :
An LQG control design problem involving a constraint on the H ∞ disturbance attenuation is addressed. It is shown that the H2/H∞ dynamic compensation gains are completely characterized by coupled Riccati/Lyapunov equations. The principal result involves sufficient conditions for characterizing full- and reduced-order controllers that satisfy bounds on both the H2 and H∞ performance costs. As a special case of this unified result the full-order H∞ solution to the standard control problem and the pure reduced-order H ∞ solution with no H2 contribution are obtained. Further extensions include non-strictly-proper dynamics, a direct-transmission-term form of disturbance correlation, and a direct treatment of the pure reduced-order H∞ control problem
Keywords :
control system synthesis; matrix algebra; minimisation; optimal control; H∞ disturbance attenuation; H2/H∞ dynamic compensation gains; LQG control design; control system synthesis; coupled Riccati/Lyapunov equations; direct-transmission-term; disturbance correlation; full-order problem; generalised Riccati equations; matrix algebra; minimisation; optimal control; performance costs; reduced-order mixed-norm H2/H∞ standard problem; Aerodynamics; Aerospace engineering; Attenuation; Control design; Costs; H infinity control; Hydrogen; Riccati equations; Sufficient conditions; Upper bound;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70145
