Stabilization of Linear Systems with Input Amplitude and Rate Constraints

Author

Zhao, Xiaodong ; Wang, JiaLian ; Xue, Anke

Author_Institution

Inst. of Intelligent Inf. & Control Technol., Hangzhou Dianzi Univ., Zhejiang

Volume

1

fYear

0

fDate

0-0 0

Firstpage

555

Lastpage

558

Abstract

For discrete-time linear systems with inputs amplitude and rate constraints, we show that there exists a finite horizon such that the infinite horizon constrained LQR problem can turn to a finite horizon constrained LQR problem and give an upper bound of this horizon for any given initial state. We also give an upper bound of this finite horizon for all initial states inside the stability region, finally, we give a mixed controller which stabilizes the system

Keywords

constraint theory; discrete time systems; infinite horizon; linear quadratic control; linear systems; regulation; stability; amplitude constraint; discrete-time linear system stability; finite horizon linear quadratic regulation problem; infinite horizon linear quadratic regulation problem; mixed controller; rate constraint; Application software; Control systems; Infinite horizon; Intelligent control; Linear systems; Predictive models; Projection algorithms; Stability; Time factors; Upper bound; amplitude and rate constraint; finite horizon;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712401

Filename

1712401