Robust Energy-to-Peak Estimation for Uncertain Continuous-Time Linear Systems

Author

Wu, Ai-Guo ; He, Liang ; Duan, Guang-Ren

Author_Institution

Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol.

Volume

1

fYear

0

fDate

0-0 0

Firstpage

2061

Lastpage

2065

Abstract

Based on two recent results, a new LMI representation for L₂-L_infin performance of continuous-time systems is first proposed by introducing two extra auxiliary matrices. The criterion allows the use of parameter-dependent Lyapunov function for analysis and synthesis problems. Robust energy-to-peak estimators are then designed based on the new criterion by means of LMI technique, with the result that the much less conservativeness is achieved compared with the earlier results in the quadratic framework. A numerical example is employed to illustrate the effect and advantage of the proposed designs

Keywords

Lyapunov methods; continuous time systems; control system analysis; control system synthesis; estimation theory; linear matrix inequalities; linear systems; uncertain systems; LMI representation; auxiliary matrices; parameter-dependent Lyapunov function; polytopic uncertainty; robust energy-to-peak estimation; uncertain continuous-time linear systems; Estimation error; Filtering theory; Kalman filters; Linear systems; Lyapunov method; Riccati equations; Robustness; Stability; Uncertainty; White noise; Energy-to-peak estimation; LMI technique; Parameter-dependent; Polytopic uncertainty; Robustness;

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.2006.1712721

Filename

1712721