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Switching controller design for a class of Markovian jump nonlinear systems using stochastic small-gain theorem

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journal contribution
posted on 06.12.2017, 00:00 by J Zhu, J Park, Maksym SpiryaginMaksym Spiryagin, KS Lee
Switching controller design for a class of Markovian jump nonlinear systems with unmodeled dynamics is considered in this paper. Based on the differential equation and infinitesimal generator of jump systems, the concept of Jump Input-to-State practical Stability (JISpS) in probability and stochastic Lyapunov stability criterion are put forward. By using back setpping technology and stochastic small-gain theorem, a switching controller is proposed which ensures JISpS in probability for the jump nonlinear system. A simulation example illustrates the validity of this design.

Funding

Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

History

Issue

2009

Start Page

1

End Page

23

Number of Pages

23

eISSN

1687-1847

ISSN

1687-1839

Location

Germany

Publisher

SpringerOpen

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Hanyang Taehakkyo; Politecnico di Torino;

Era Eligible

Yes

Journal

Advances in difference equations.