A new integral sliding mode design method for nonlinear stochastic systems

Automatica ◽  
2018 ◽  
Vol 90 ◽  
pp. 304-309 ◽  
Author(s):  
Yueying Wang ◽  
Yuanqing Xia ◽  
Hongyi Li ◽  
Pingfang Zhou
Keyword(s):  
Stochastic Systems ◽  
Sliding Mode ◽  
Design Method ◽  
Nonlinear Stochastic Systems ◽  
Integral Sliding Mode ◽  
Mode Design

scholarly journals Recent Advances on Recursive Filtering and Sliding Mode Design for Networked Nonlinear Stochastic Systems: A Survey

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Jun Hu ◽  
Zidong Wang ◽  
Hongli Dong ◽  
Huijun Gao
Keyword(s):  
Stochastic Systems ◽  
Sliding Mode ◽  
Future Research ◽  
Missing Measurements ◽  
Nonlinear Stochastic Systems ◽  
Design Problems ◽  
Recursive Filtering ◽  
Mode Design ◽  
Recent Advances ◽  
Randomly Occurring Uncertainties

Some recent advances on the recursive filtering and sliding mode design problems for nonlinear stochastic systems with network-induced phenomena are surveyed. The network-induced phenomena under consideration mainly include missing measurements, fading measurements, signal quantization, probabilistic sensor delays, sensor saturations, randomly occurring nonlinearities, and randomly occurring uncertainties. With respect to these network-induced phenomena, the developments on filtering and sliding mode design problems are systematically reviewed. In particular, concerning the network-induced phenomena, some recent results on the recursive filtering for time-varying nonlinear stochastic systems and sliding mode design for time-invariant nonlinear stochastic systems are given, respectively. Finally, conclusions are proposed and some potential future research works are pointed out.

scholarly journals Parameter Identification and Hybrid Synchronization in an Array of Coupled Chaotic Systems with Ring Connection: An Adaptive Integral Sliding Mode Approach

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Nazam Siddique ◽  
Fazal ur Rehman
Keyword(s):  
Sliding Mode Control ◽  
Parameter Identification ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Design Method ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
Error System ◽  
Hybrid Synchronization

This article presents an adaptive integral sliding mode control (SMC) design method for parameter identification and hybrid synchronization of chaotic systems connected in ring topology. To employ the adaptive integral sliding mode control, the error system is transformed into a special structure containing nominal part and some unknown terms. The unknown terms are computed adaptively. Then the error system is stabilized using integral sliding mode control. The controller of the error system is created that contains both the nominal control and the compensator control. The adapted laws and compensator controller are derived using Lyapunov stability theory. The effectiveness of the proposed technique is validated through numerical examples.

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