H∞ analysis and controller synthesis via a descriptor system approach

Author

Peng, Cheng ; Cao Yongyan ; Youxian, Sun

Author_Institution

State Key Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou

fYear

2008

fDate

16-18 July 2008

Firstpage

738

Lastpage

742

Abstract

The problem of H_infin analysis and synthesis of linear uncertain systems is addressed via parameter-dependent Lyapunov functions. The polyqudratic H_infin stability as well as the affine quadratic H_infin stability is defined, and the corresponding sufficient conditions of LMI form are derived based on a descriptor system approach. By refraining the slack matrices, H_infin state feedback controllers could also be constructed by LMI constraints. The effectiveness is demonstrated by a numerical example.

Keywords

H^infin control; Lyapunov methods; control system analysis; control system synthesis; linear matrix inequalities; linear systems; stability; state feedback; uncertain systems; H_infin analysis; H_infin state feedback controllers; LMI constraints; affine quadratic H_infin stability; controller synthesis; descriptor system approach; linear uncertain systems; parameter-dependent Lyapunov functions; polyqudratic H_infin stability; slack matrices; Continuous time systems; Control system analysis; Control system synthesis; Electrical equipment industry; Industrial control; Lyapunov method; Robust stability; State feedback; Sufficient conditions; Sun; Affine Parameter Systems; Descriptor Systems; H∞ Synthesis; Parameter-dependent Lyapunov Functions; Polytopic Systems; Robust Performance Analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605432

Filename

4605432