AnH∞non‐fragile observer‐based adaptive sliding mode controller design for uncertain fractional‐order nonlinear systems with time delay and input nonlinearity

2019 ◽  
Author(s):  
Majid Parvizian ◽  
Khosro Khandani ◽  
Vahid Johari Majd
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Fractional Order ◽  
Controller Design ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Input Nonlinearity ◽  
Adaptive Sliding Mode ◽  
Adaptive Sliding Mode Controller

Synchronization of Liu Chaotic System with Fractional-Order

2013 ◽  
Vol 336-338 ◽  
pp. 467-470
Author(s):  
Su Hai Huang
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Stability Theory ◽  
Unknown Parameter ◽  
Chaos Synchronization ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Sliding Mode Controller ◽  
Adaptive Sliding Mode ◽  
Adaptive Sliding Mode Controller

This paper deals with chaos synchronization of the Liu chaotic system with fractional-order. Based on the fractional-order stability theory, an adaptive sliding mode controller has been constructed to realize projective synchronization of fractional-order Liu chaotic system with unknown parameter. An illustrative simulation result is given to demonstrate the effectiveness of the proposed sliding mode controller.

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.

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