Title :
A Gramian-based controller for linear periodic systems
Author :
Montagnier, Pierre ; Spiteri, Raymond J.
Author_Institution :
Centre for Intelligent Machines, McGill Univ., Montreal, Que., Canada
Abstract :
This note proposes a new design method for the control of linear time-periodic systems. The method is based on the reachability Gramian and a specific form for the feedback gain matrix to build a novel control law for the closed-loop system. The new controller allows assignment of all the invariants of the system. Calculating the feedback requires solving a matrix integral equation for the periodic Floquet factor of the state-transition matrix of the closed-loop system.
Keywords :
closed loop systems; control system synthesis; feedback; integral equations; linear systems; matrix algebra; periodic control; time-varying systems; Gramian-based controller; closed-loop system; feedback gain matrix; linear time-periodic systems; matrix integral equation; periodic Floquet factor; state-transition matrix; Computer science; Control systems; Design methodology; Differential equations; State feedback; Time varying systems; Floquet; Gramian; invariant factors; periodic feedback; periodic systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.832665
