Adaptive Sliding Mode Control for a Class of Uncertain Markovian Jump Systems with Time-Delay

2007 ◽  
Author(s):  
Youguo He ◽  
Yuanwei Jing
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Markovian Jump Systems ◽  
Adaptive Sliding Mode Control ◽  
Markovian Jump ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Jump Systems ◽  
Uncertain Markovian Jump Systems

A non-fragile observer-based adaptive sliding mode control for fractional-order Markovian jump systems with time delay and input nonlinearity

2020 ◽  
Vol 42 (8) ◽  
pp. 1448-1460 ◽  
Author(s):  
Majid Parvizian ◽  
Khosro Khandani ◽  
Vahid Johari Majd
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
State Estimation ◽  
Fractional Order ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Markovian Jump ◽  
Input Nonlinearity ◽  
Adaptive Sliding Mode ◽  
Jump Systems

In this paper, state estimation and adaptive sliding mode control (SMC) of uncertain fractional-order Markovian jump systems (FO-MJSs) with time delay and input nonlinearity are considered. A non-fragile observer is proposed to estimate the system states, and an observer-based adaptive sliding mode controller is synthesized to ensure the reachability of the sliding surfaces in the state-estimation space in finite time. The sufficient condition for stochastic stability of the error system and sliding mode dynamics is derived in the form of linear matrix inequalities (LMIs). Finally, some numerical examples are presented to illustrate the effectiveness of the proposed method.

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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