A New Extended LMIs Approach for Continuous-time Multiobjective Controllers Synthesis

Author

Shen, Yanjun ; Shen, Weimin ; Gu, Jason

Author_Institution

Inst. of Nonlinear Complex Syst., Three Gorges Univ., Yichang

fYear

2006

fDate

25-28 June 2006

Firstpage

1054

Lastpage

1059

Abstract

A new linear matrix inequality (LMI) characterizations for continuous-time system is presented. This new proposed procedure relies on the introduction of new extra variables and enables us to parametrize controllers without involving the Lyapunov variables in parametrizations. Taking advantage of this feature, we can use different Lyapunov functions to deal with the multiobjective control problem with non-common Lyapunov variables, and reduce the conservation under the usual existing standard conditions for the multiobjective control problem based on LMI. The numerical simulations demonstrates the validity of this design framework

Keywords

Lyapunov methods; continuous time systems; control system synthesis; linear matrix inequalities; LMI; Lyapunov functions; continuous-time multiobjective controllers; controller synthesis; linear matrix inequality; noncommon Lyapunov variables; Automation; Control system synthesis; Hydrogen; Linear matrix inequalities; Lyapunov method; Mechatronics; Nonlinear control systems; Numerical simulation; Robust control; Symmetric matrices; Robust control; linear matrix equalities; multiobjective control; non-common Lyapunov variables;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronics and Automation, Proceedings of the 2006 IEEE International Conference on

Conference_Location

Luoyang, Henan

Print_ISBN

1-4244-0465-7

Electronic_ISBN

1-4244-0466-5

Type

conf

DOI

10.1109/ICMA.2006.257771

Filename

4026231