Title :
Closed-form control laws for linear time-varying systems
Author_Institution :
Dept. of Aerosp. Eng. & Eng. Mech., Iowa State Univ., Ames, IA, USA
fDate :
3/1/2000 12:00:00 AM
Abstract :
Closed-form control laws are developed for continuous, linear, time-varying (LTV) systems based on approximate solutions to a receding-horizon control problem. These control laws can be derived in the first- or higher order closed forms. Once obtained, the control laws need no explicit gain-scheduling or online integrations to implement. The notion of practical stability is used, and practical or uniform asymptotic stability of the closed-loop system, depending on conditions imposed on the system, is established
Keywords :
asymptotic stability; closed loop systems; linear systems; optimal control; quadratic programming; time-varying systems; approximate solutions; closed-form control laws; first-order closed forms; higher order closed forms; linear time-varying systems; practical stability; receding-horizon control problem; uniform asymptotic stability; Circuits; Control systems; Covariance matrix; Equations; Error correction; Frequency; Polynomials; Read only memory; Reduced order systems; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on