Model reduction for uncertain systems using LMIs

Author

Li Minghao ; Zhou Wuneng ; Tong Dongbing

Author_Institution

Coll. of Inf. Sci. & Technol., Donghua Univ., Shanghai, China

fYear

2010

fDate

29-31 July 2010

Firstpage

1287

Lastpage

1292

Abstract

This paper presents a general criterion for solving reduction problem on uncertain systems by using LMIs. The criterion can be used for different uncertain systems, such as linear time-invarying systems, Markovian jump systems, and hybrid jump systems with continuous- and discrete-time cases so on. A novel loop algorithm is proposed to calculate reduced model. The algorithm convergent efficiently by making the use of binary search thought and parameter constraints. Some examples are given to illustrate the benefits of criterion and algorithm.

Keywords

Markov processes; continuous time systems; discrete time systems; linear matrix inequalities; linear systems; reduced order systems; search problems; uncertain systems; LMI; Markovian jump system; binary search; continuous-time system; discrete-time system; hybrid jump system; linear time-invarying system; model reduction; parameter constraint; uncertain system; Approximation methods; Equations; Mathematical model; Optimized production technology; Reduced order systems; Uncertain systems; Vectors; Linear Matrix Inequality (LMI); Model Reduction; Uncertain Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2010 29th Chinese

Conference_Location

Beijing

Print_ISBN

978-1-4244-6263-6

Type

conf

Filename

5573532