Title :
Discrete-time H∞ control
Author :
Limebeer, D.J.N. ; Green, M. ; Walker, D.
Author_Institution :
Dept. of Electr. Eng., Imperial Coll., London, UK
Abstract :
A representation formula for all controllers for a given discrete-time system which satisfy an H∞ norm bound is given. The approach is based on the theory of linear quadratic difference games, with the time-varying, finite-horizon version of the problem being the main focus of attention. It is found that the controller representation formula can be specified in terms of a pair of discrete-time game-theoretic Riccati difference equations
Keywords :
difference equations; discrete time systems; game theory; H∞ control; H∞ norm bound; controller representation formula; discrete-time game-theoretic Riccati difference equations; discrete-time system; linear quadratic difference games; time-varying finite horizon game; Control systems; Difference equations; Digital control; Discrete time systems; Educational institutions; Frequency; Game theory; H infinity control; Riccati equations; Stability;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70144
