Stability conditions for bilinear DTFTCS driven by static output feedback

Author

Mahmoud, Mufeed

Author_Institution

Fac. of Electr. & Comput. Eng., Univ. of Massachusetts, Lowell, MA

fYear

2008

fDate

3-5 Sept. 2008

Firstpage

480

Lastpage

485

Abstract

A bilinear DTFTCS model with static output feedback controller is developed. The model is corrupted by additive and multiplicative noises and disturbances. Second moment stability for the proposed bilinear DTFTCS is to be characterized. Necessary and sufficient stability conditions are derived in terms of nonlinear matrix inequalities. Given a set of control gains, sufficient conditions that test for the second moment stability and delta-level of disturbance rejection property are derived in terms of a feasibility solution for a set of linear matrix inequalities (LMI).

Keywords

bilinear systems; discrete time systems; fault tolerance; feedback; linear matrix inequalities; noise; stability; additive noises; bilinear DTFTCS; discrete time fault tolerant control systems; disturbance rejection property; linear matrix inequalities; multiplicative noises; nonlinear matrix inequalities; second moment stability; static output feedback controller; Control systems; Fault detection; Fault tolerant systems; Linear matrix inequalities; Output feedback; Stability; Stochastic processes; Stochastic systems; Sufficient conditions; Working environment noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2008. CCA 2008. IEEE International Conference on

Conference_Location

San Antonio, TX

Print_ISBN

978-1-4244-2222-7

Electronic_ISBN

978-1-4244-2223-4

Type

conf

DOI

10.1109/CCA.2008.4629700

Filename

4629700