Title :
Mixed H2/ESPR (extended strictly positive real) control for state-feedback case
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Abstract :
This paper considers a mixed H2/ESPR control problem for the state-feedback case. The problem is to find an internally stabilizing controller that minimizes a mixed H2/ESPR performance measure subject to an inequality constraint on the ESPRness (extended strictly positive real) of another closed-loop transfer function. This problem can be interpreted and motivated as a problem of optimal nominal performance subject to a robust stability constraint. It is shown that the state-feedback problem can be converted into a convex optimization problem over a bounded set of matrices, and that in the state-feedback problem, one can come arbitrary close to the optimal (even over full information controllers) mixed H2/ESPR performance measure using constant gain state-feedback
Keywords :
H∞ control; closed loop systems; robust control; state feedback; transfer functions; closed-loop transfer function; constant gain state-feedback; convex optimization problem; extended strictly positive real control; inequality constraint; internally stabilizing controller; mixed H2/ESPR control; optimal nominal performance; robust stability constraint; Centralized control; Computer aided software engineering; Control systems; Control theory; Gain measurement; Optimal control; Performance gain; Robust control; Robust stability; Transfer functions;
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.1994.411628
