Title :
Efficient solution of polynomial equations in H∞ optimal control
Author_Institution :
Dept. of Math., Limburg Univ., Maastricht, Netherlands
Abstract :
The `standard´ H∞ optimal control problem is solved by means of the solution of a set of linear and quadratic polynomial equations. A method is proposed to exploit the structure of the polynomial equations. The solution is based on QR-decomposition of the Jacobian. A special case, the so-called mixed-sensitivity problem, is worked out in detail
Keywords :
control system analysis; optimal control; polynomials; sensitivity analysis; Jacobian; QR-decomposition; mixed-sensitivity problem; optimal control; polynomial; Control systems; Differential equations; H infinity control; Jacobian matrices; Least squares methods; Mathematics; Matrix converters; Optimal control; Polynomials; Riccati equations;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.204057