Title :
Principle of proportional damages in a multiple criteria LQR problem
Author :
Shtessel, Yuri B.
Author_Institution :
Dept. of Electr. & Comput. Eng., Alabama Univ., Huntsville, AL, USA
fDate :
3/1/1996 12:00:00 AM
Abstract :
A multiple criteria linear quadratic regulator (LQR) problem is considered. The principle of proportional damages is worked out to minimize a norm of a difference between ideal and optimal values of the vector-performance criteria, while the distribution of the losses (damages) of the performance criteria are under control. A multiple criteria LQR problem solution via principle of proportional damages is obtained as a linear form of state variables and is invariant to the norm which is minimized
Keywords :
MIMO systems; control system synthesis; differential equations; linear quadratic control; linear systems; time-varying systems; MIMO systems; differential equations; linear quadratic regulator; linear systems; multiple criteria LQR; proportional damage principle; time varying systems; vector-performance criteria; Aerospace control; Aircraft; Elevators; Equations; Feedback control; Linear systems; Optimal control; Performance loss; Proportional control; Regulators;
Journal_Title :
Automatic Control, IEEE Transactions on
