Title :
A new design method for regulator problems for singularly perturbed systems with constrained control
Author :
Tuan, H.D. ; Hosoe, S.
Author_Institution :
Dept. of Electron. Mech. Eng., Nagoya Univ., Japan
fDate :
2/1/1997 12:00:00 AM
Abstract :
A new design method for regulator problems for singularly perturbed systems is proposed in this paper. In contrast to previous papers using the Riccati equation approach and composite controls, a direct control without any Riccati equation is presented. It is applicable to solving a regulator problem for time invariant and time-varying systems with unconstrained controls as well as with constrained controls. The approach is based on a version of the Tikhonov theorem in L2 for solutions of singularly perturbed systems to be proved in the paper and some techniques of sensitivity analysis for optimization with strictly convex objective functions
Keywords :
Riccati equations; control system synthesis; optimal control; optimisation; sensitivity analysis; singularly perturbed systems; time-varying systems; Riccati equation; Tikhonov theorem; constrained control; convex objective functions; optimal control; optimization; sensitivity analysis; singularly perturbed systems; time invariant systems; time-varying systems; Automatic control; Control systems; Design methodology; Feedback; Predictive control; Predictive models; Regulators; Riccati equations; Stability; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
