Title :
Design of H∞ optimal stable stabilizing compensator
Author :
Barabanov, Andrey E.
Author_Institution :
St. Petersburg Univ., Russia
Abstract :
The H∞ control problem by stable compensator is solved for the 1-block case. The optimal closed loop transfer function appears to be the singular inner function in the Hardy class H∞(C+). In particular, no rational transfer function of the controller can be optimal in this problem. A nonlinear algebraic system with the equal number of variables and equations is obtained from which the minimum of the H∞ functional and the parameters of the optimal transfer function can be computed. It is shown how to design a minimizing sequence of rational approximations to this transfer function. Examples illustrate the result
Keywords :
H∞ control; H∞ optimisation; closed loop systems; compensation; control system synthesis; function approximation; robust control; transfer functions; H∞ functional; H∞ optimal stable stabilizing compensator; H∞(C+) Hardy class; SISO 1-block problem; minimizing sequence; nonlinear algebraic system; optimal closed loop transfer function; rational approximations; singular inner function; Closed loop systems; Design optimization; Ear; Nonlinear equations; Optimal control; Polynomials; Positron emission tomography; Robust control; Robust stability; Transfer functions;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574440
