Title :
Characterization of discrete time H∞ controllers via bilinear transformation
Author :
Kondo, Ryou ; Hara, Shinji ; Itou, Toshiya
Author_Institution :
Dept. of Mech. Eng., Ibaraki Univ., Japan
Abstract :
A unified state space approach using bilinear transformation is proposed for continuous/discrete time H∞ optimal control problems. It is shown that Riccati equations and related factorizations of continuous time and discrete time systems can be formulated by the same Hamiltonian matrices. All H∞ sub-optimal compensators for continuous and discrete time systems are parametrized in a completely parallel way
Keywords :
compensation; discrete time systems; matrix algebra; optimal control; state-space methods; H∞ sub-optimal compensators; Hamiltonian matrices; Riccati equations; bilinear transformation; continuous time systems; discrete time H∞ controllers; unified state space approach; Discrete time systems; Eigenvalues and eigenfunctions; Frequency domain analysis; H infinity control; Mechanical engineering; Optimal control; Parallel algorithms; Riccati equations; Scattering; State-space methods;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203923
