Title :
Stabilizing receding horizon H∞ controls for linear continuous time-varying systems
Author :
Kim, Ki Baek ; Yoon, Tae-Woong ; Kwon, Wook Hyun
Author_Institution :
Center for Semicond. Technol., Korea Univ., Seoul, South Korea
fDate :
8/1/2001 12:00:00 AM
Abstract :
In this note, new matrix inequality conditions on the terminal weighting matrices are proposed for linear continuous time-varying systems. Under these conditions, nonincreasing and nondecreasing monotonicities of the saddle point value of a dynamic game are shown to be guaranteed. It is proved that the proposed terminal inequality conditions ensure the closed-loop stability of the receding horizon H ∞ control (RHHC). The stabilizing RHHC guarantees the H ∞ norm bound of the closed-loop system. The proposed terminal inequality conditions for the monotonicity of the saddle point value and the closed-loop stability include most well-known existing terminal conditions as special cases. The results for time-invariant systems are obtained correspondingly from those in the time-varying case
Keywords :
H∞ control; closed loop systems; linear systems; matrix algebra; predictive control; stability; time-varying systems; H∞ norm bound; closed-loop stability; closed-loop system; dynamic game; linear continuous time-varying systems; matrix inequality conditions; nondecreasing monotonicities; nonincreasing monotonicities; receding horizon H∞ control; saddle point value; saddle point value monotonicity; stabilizing RHHC; stabilizing receding horizon H∞ controls; terminal inequality conditions; terminal weighting matrices; time-invariant systems; time-varying systems; Control systems; Cost function; Dynamic scheduling; Job shop scheduling; Manufacturing; Notice of Violation; Optimal control; Production systems; Real time systems; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
