Mixed sliding mode fuzzy control for discrete-time non-linear stochastic systems subject to variance and passivity constraints

2015 ◽  
Vol 9 (16) ◽  
pp. 2369-2376 ◽  
Author(s):  
Wen-Jer Chang ◽  
Po-Hsun Chen ◽  
Cheung-Chieh Ku
Keyword(s):  
Fuzzy Control ◽  
Discrete Time ◽  
Stochastic Systems ◽  
Sliding Mode ◽  
Linear Stochastic Systems ◽  
Non Linear

Adaptive observer-based non-linear stochastic system control with sliding mode schemes

2008 ◽  
Vol 222 (7) ◽  
pp. 681-690 ◽  
Author(s):  
F Qiao ◽  
Q M Zhu ◽  
J Liu ◽  
F Zhang
Keyword(s):  
Stochastic Systems ◽  
Sliding Mode ◽  
Adaptive Observer ◽  
System Control ◽  
Simulation Studies ◽  
Stabilization Control ◽  
Linear Stochastic Systems ◽  
Globally Asymptotical Stability ◽  
Non Linear ◽  
System Output

In this paper, an adaptive sliding mode observer is designed to reconstruct the states of non-linear stochastic systems with uncertainties from the measurable system output and the reconstructed states are employed to construct a sliding mode controller for the stabilization control of complex non-linear systems. It takes the advantages of the sliding mode schemes to design both the observer and the controller. The convergence of the observer and the globally asymptotical stability of the controller are analysed in terms of stochastic Lyapunov stability, and the effectiveness of the control strategy is verified with numerical simulation studies.

The stochastic observability for noisy non-linear stochastic systems†

1975 ◽  
Vol 22 (4) ◽  
pp. 461-480 ◽  
Author(s):  
YOSHIFUMI SUNAHARA ◽  
SHIN'ICHl AIHARA ◽  
MASAYUKI SHIRAIWA
Keyword(s):  
Stochastic Systems ◽  
Linear Stochastic Systems ◽  
Non Linear
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