Title :
Conjugation and H∞ control of discrete time systems
Author :
Liu, Kang Zhi ; Mita, Tsutomu
Author_Institution :
Dept. of Electr. & Electron. Eng., Chiba Univ., Japan
Abstract :
The authors establish a conjugation notion for discrete-time systems. In discrete-time systems, conjugation is a very elementary operation on the rational transfer function that replaces some of its poles by their reflections with respect to the unit circle. With the aid of J-lossless conjugation (conjugation by a J-lossless system), it is shown that the parametrization of optimal solutions of the H∞ model-matching problem is reduced to a Lyapunov-type equation. It is further proved that the J-lossless conjugation of the model-matching problem is a natural state-space representation of classical interpolation in discrete time systems
Keywords :
control system synthesis; discrete time systems; optimal control; poles and zeros; stability; transfer functions; H∞ control; H∞ model-matching problem; J-lossless conjugation; Lyapunov-type equation; conjugation; discrete-time systems; interpolation; natural state-space representation; poles; rational transfer function; Continuous time systems; Control systems; Discrete time systems; Equations; H infinity control; Interpolation; Reflection; State-space methods; Sufficient conditions; Transfer functions;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70585
