Title :
Linear system finite-time stabilization under H∞ constraint
Author :
Yang Guo ; Jian Guo ; Peng Zhang ; Yu Yao
Author_Institution :
Control & Simulation Center, Harbin Inst. of Technol., Harbin, China
Abstract :
In this paper, we propose a finite-time stability method with the consideration of H∞ constraint with transients. A finite-time stability controller is designed which guarantees the H∞ performance with transients of the closed-loop system is under a boundary. The solution is derived via Linear Matrix Inequalities (LMIs) and Differential Riccati Inequalities (DRIs). We present a numerical example which maintains the disturbance suppression with the state constraint. The simulation result shows the validity of the proposed method.
Keywords :
H∞ control; Riccati equations; closed loop systems; control system synthesis; differential equations; linear matrix inequalities; linear systems; stability; H∞ constraint; closed-loop system; differential Riccati inequalities; finite-time stability controller design; linear matrix inequalities; linear system finite-time stabilization; state constraint; Numerical stability; Stability criteria; Sufficient conditions; Symmetric matrices; Time varying systems; Transient analysis; DRI; Finite-time stabilization; H∞ Control; LMI;
Conference_Titel :
Electrical and Computer Engineering (CCECE), 2011 24th Canadian Conference on
Conference_Location :
Niagara Falls, ON
Print_ISBN :
978-1-4244-9788-1
Electronic_ISBN :
0840-7789
DOI :
10.1109/CCECE.2011.6030466
