Title :
Model matching approach to discrete-time polynomial optimization problems
Author :
Pellegrinetti, Gordon ; Bentsman, Joseph
Author_Institution :
Dept. of Mech. & Ind. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
This paper presents a solution to the H∞ predictive control problem based on minimax prediction using a technique inspired by the solution of the H∞ model matching problem. This solution methodology uses a Youla-Kucera parameter to consider only controllers which are in the set of stabilizing controllers. The final form of true equations which define the controller is simplified, resulting in a better numerical solution readily solvable by a generalized eigenvalue problem
Keywords :
H∞ control; discrete time systems; eigenvalues and eigenfunctions; polynomials; predictive control; stability; H∞ predictive control; Youla-Kucera parameter; discrete-time polynomial optimization problems; generalized eigenvalue problem; minimax prediction; model matching approach; stabilizing controllers; Equations; Industrial engineering; Minimax techniques; Optimal control; Polynomials; Predictive control; Predictive models; Stability; Stochastic processes; Stochastic resonance;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707347