Title :
Mixed L1/H∞ controllers for MIMO continuous-time systems
Author :
Sznaier, Mario ; Blanchini, Franco
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
A successful controller design paradigm must be able to handle multiple, and often conflicting, design specifications. In this paper we present a design procedure for suboptimal L1/H∞ controllers. These controllers allow for minimizing the L1 norm of the closed-loop transfer function between a pair of signals, while satisfying an H∞-norm constraint upon a different closed-loop transfer function. Thus, they can be thought of as achieving nominal performance in terms of disturbance rejection, while guaranteeing robust stability. The main result of the paper shows that rational mixed L1/H∞ suboptimal controllers can be obtained by solving a sequence of problems, each one consisting of a finite-dimensional convex optimization and a standard, unconstrained H∞ problem
Keywords :
H∞ control; MIMO systems; closed loop systems; continuous time systems; control system synthesis; stability; transfer functions; MIMO continuous-time systems; closed-loop system; design specifications; disturbance rejection; finite-dimensional convex optimization; mixed L1/H∞ controllers; robust stability; transfer function; Control systems; Cost function; Design methodology; Frequency domain analysis; MIMO; Optimal control; Sampling methods; Time domain analysis; Transfer functions; Upper bound;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411394
