On synchronisation of a class of complex chaotic systems with complex unknown parameters via integral sliding mode control

Pramana ◽  
2018 ◽  
Vol 90 (6) ◽  
Author(s):  
Hamed Tirandaz ◽  
Ali Karami-Mollaee
2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Nazam Siddique ◽  
Fazal ur Rehman

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.


Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Hua Zhang

This paper proposes an integral sliding mode control (ISMC) method of a class of uncertain chaotic systems with saturation inputs. Firstly, fuzzy logic system (FLS) is used to estimate the unknown nonlinear function. Then, a disturbance observer is constructed to estimate a compound disturbance, which contains the external disturbance, the error of saturation input and control output, and the fuzzy estimation error. Subsequently, a proposed integral sliding mode controller can ensure that all signals of the closed-loop system are ultimately bounded, and based on the dynamic system of the integral sliding mode variable itself, the ultimate bound of the tracking error can be estimated. Simulation results show that the proposed ISMC method is more effective than the traditional ISMC method.


2020 ◽  
Vol 67 (10) ◽  
pp. 2084-2088
Author(s):  
Lei Wang ◽  
Zhuoyue Song ◽  
Xiangdong Liu ◽  
Zhen Li ◽  
Tyrone Fernando ◽  
...  

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