Title :
A delta operator approach to discrete-time H∞ control
Author :
Collins, Emmanuel G., Jr. ; Song, Tinglun
Author_Institution :
Dept. of Mech. Eng., Florida A&M Univ., Tallahassee, FL, USA
Abstract :
Considers the direct synthesis of discrete-time H∞ control laws. The numerical ill-conditioning inherent in using the forward-shift operator at high sample rates is eliminated by representing the discrete-time system and H∞ controller in the delta domain. The H∞ design equations for direct synthesis in the delta domain are then developed. The paper also unifies the continuous-time and discrete-time H∞ design theories by showing that when the sample period Δ=0, the delta-domain H∞ design equations reduce to the known continuous-time H∞ design equations
Keywords :
H∞ control; Riccati equations; closed loop systems; control system synthesis; discrete time systems; linear systems; multidimensional systems; continuous-time H∞ design equations; delta operator approach; direct synthesis; discrete-time H∞ control; Control systems; Hydrogen; Limit-cycles; Mechanical engineering; Optimal control; Riccati equations; Robustness; Roundoff errors; Sampling methods; Transfer functions;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707369
