Title :
Application of projective controls technique to singularly perturbed systems
Author :
Rousan, N.S. ; Sawan, M.E.
Author_Institution :
Dept. of Electr. Eng., Wichita State Univ., KS, USA
Abstract :
The projective controls approach was introduced by J. Medanic (1978) for regular linear time-invariant systems. The systems considered have the two-time-scale property. This property is exploited, and the projective controls approach is applied to the slow system. It is shown that it is possible to reduce the computational burden by solving a lower-order control problem. The relation between the cost due to a state feedback regulator and the cost obtained using the projective controls approach are discussed
Keywords :
linear systems; computational burden reduction; projective controls technique; regular linear time-invariant systems; singularly perturbed systems; slow system; two-time-scale property; Argon; Control systems; Costs; Eigenvalues and eigenfunctions; Optimal control; Reduced order systems; Regulators; Riccati equations; State feedback; Sufficient conditions;
Conference_Titel :
Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
Conference_Location :
Champaign, IL
DOI :
10.1109/MWSCAS.1989.101935