Title :
Minimum H∞-norm regulation of linear discrete-time systems and its relation to linear quadratic discrete games
Author :
Yaesh, I. ; Shaked, U.
Author_Institution :
Dept. of Electron. Syst., Tel-Aviv Univ., Ramat-Aviv, Israel
Abstract :
A solution is derived for the H∞-optimization problem that arises in multivariable optimal discrete-time regulation when the controller has full access to the state vector. Two different approaches to the solution of the problem are presented. The first, which is more direct, minimizes the H∞-norm of the transfer function matrix from the input disturbance signal to a linear combination of the states and the plant input. The second approach applies known results from the theory of difference games. It is found that the solution by the first approach yields a constant state feedback controller whose gain matrix is identical to the one used by the minimizer in the corresponding difference game
Keywords :
discrete time systems; game theory; linear systems; optimal control; optimisation; transfer functions; H∞-optimization; constant state feedback controller; difference games; discrete-time systems; linear quadratic discrete games; linear systems; minimum H∞-norm regulation; multivariable control; optimal control; transfer function matrix; Control systems; Control theory; Cost function; H infinity control; Interpolation; Polynomials; Riccati equations; Robustness; State-space methods; Transfer functions;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70264