Observer-based adaptive sliding mode control for nonlinear Markovian jump systems

Automatica ◽  
2016 ◽  
Vol 64 ◽  
pp. 133-142 ◽  
Author(s):  
Hongyi Li ◽  
Peng Shi ◽  
Deyin Yao ◽  
Ligang Wu
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Markovian Jump Systems ◽  
Adaptive Sliding Mode Control ◽  
Markovian Jump ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Jump Systems ◽  
Nonlinear Markovian Jump Systems

scholarly journals Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Xiaohan Yin ◽  
Quanxin Zhu
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Markovian Jump Systems ◽  
Control Law ◽  
Closed Loop System ◽  
Markovian Jump ◽  
Mode Control ◽  
Disturbance Term ◽  
Jump Systems ◽  
Nonlinear Markovian Jump Systems

We consider a class of stochastic nonlinear Markovian jump systems (MJSs) with partly unknown transition rate and time-varying delays. The system under consideration is subject to the mode uncertainties and nonlinear term and disturbance term which are unknown. The main mission is to design the observer-based sliding mode controller for such a complex system. An observer is first constructed, and then we design an integral sliding mode surface such that the MJSs satisfy the reaching condition. The sliding mode control law ensures the stochastic stability of the closed-loop system. Finally, an example is given to illustrate the proposed results.

A diffusive representation approach toward H∞ sliding mode control design for fractional-order Markovian jump systems

2020 ◽  
pp. 095965182097525
Author(s):  
Majid Parvizian ◽  
Khosro Khandani
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Suggested Approach ◽  
Stabilizing Controller ◽  
Mode Control ◽  
Jump Systems ◽  
Diffusive Representation

This article proposes a new [Formula: see text] sliding mode control strategy for stabilizing controller design for fractional-order Markovian jump systems. The suggested approach is based on the diffusive representation of fractional-order Markovian jump systems which transforms the fractional-order system into an integer-order one. Using a new Lyapunov–Krasovskii functional, the problem of [Formula: see text] sliding mode control of uncertain fractional-order Markovian jump systems with exogenous noise is investigated. We propose a sliding surface and prove its reachability. Moreover, the linear matrix inequality conditions for stochastic stability of the resultant sliding motion with a given [Formula: see text] disturbance attenuation level are derived. Eventually, the theoretical results are verified through a simulation example.

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