Stochastic H∞ almost disturbance decoupling for a class of stochastic nonlinear systems

The stochastic H ∞ almost disturbance decoupling design problem is formulated to solve for a class of stochastic nonlinear systems with zero dynamics. Firstly, we give an design for the minimum phase stochastic nonlinear systems. Before considering the non-minimum phase case, we give a result about...

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Bibliographic Details
Published inProceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference pp. 2887 - 2892
Main Authors Xing Hu Wang, Hai Bo Ji
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2009
Subjects
Control systems
Design methodology
Linear systems
Nonlinear control systems
Nonlinear systems
State feedback
Stochastic processes
Stochastic resonance
Stochastic systems
Uncertainty
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Summary:The stochastic H ∞ almost disturbance decoupling design problem is formulated to solve for a class of stochastic nonlinear systems with zero dynamics. Firstly, we give an design for the minimum phase stochastic nonlinear systems. Before considering the non-minimum phase case, we give a result about stochastic version of changing supply function technique. Then, with this technical result we show that the non-minimum phase stochastic nonlinear systems can be transformed to the minimum phase case. Thus we can solve this problem in non-minimum phase case. An example is given to illustrate the proposed methods.
ISBN:9781424438716
1424438713
ISSN:0191-2216
DOI:10.1109/CDC.2009.5400112