Paper Info
Title
H∞ fuzzy control of semi-Markov jump nonlinear systems under σ-error mean square stability.
Abstract
This paper is concerned with the problem of time-varying H∞ fuzzy control for a class of semi-Markov jump nonlinear systems in the sense of σ-error mean square stability. The nonlinear plant is described via the Takagi–Sugeno fuzzy model. By defining a time-varying mode-dependent Lyapunov function, a set of sufficient stability and stabilisation criteria for non-disturbance case is first derived and then applied to the investigation of H∞ performance analysis and H∞ fuzzy controller design problems of semi-Markov jump nonlinear systems. Different from the traditional stochastic switching system framework, the probability density function of sojourn time is exploited to circumvent the complex computation of transition probabilities. The derived conditions can cover the time-invariant mode-dependent and time-invariant mode-independent H∞ fuzzy control schemes as special cases. A classic cart-pendulum system is presented to demonstrate the effectiveness and advantages of the proposed theoretical results.
Year
DOI
Venue
2017
10.1080/00207721.2017.1315982
Int. J. Systems Science
Keywords
Field
DocType
H-infinity control, stochastic systems, sigma-error mean square stability, semi-Markov jump nonlinear systems, time-varying controller
H-infinity methods in control theory,Lyapunov function,Mathematical optimization,Nonlinear system,Control theory,Fuzzy logic,Markov chain,Fuzzy control system,Jump,Probability density function,Mathematics
Journal
Volume
Issue
ISSN
48
11
0020-7721
Citations 
PageRank 
References 
2
0.37
13
Authors
3
Name
Order
Citations
PageRank
ting yang15711.55
Lixian Zhang23028125.86
H. K. Lam33618193.15