Global Stabilization of Memristive Neural Networks with Leakage and Time-Varying Delays Via Quantized Sliding-Mode Controller

This paper investigates projective synchronization of nonidentical fractional-order memristive neural networks (NFMNN) via sliding mode controller. Firstly, based on the sliding mode control theory, a new fractional-order integral sliding mode controller is designed to ensure the occurrence of sliding motion. Furthermore, according to fractional-order differential inequalities and fractional-order Lyapunov direct method, the trajectories of the system converge to the sliding mode surface to carry out sliding mode motion, and some sufficient criteria are obtained to achieve global projective synchronization of NFMNN. In addition, the conclusions extend and improve some previous works on the synchronization of fractional-order memristive neural networks (FMNN). Finally, a simulation example is given to verify the effectiveness and correctness of the obtained results.

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A novel robust finite-time tracking control of uncertain robotic manipulators with disturbances

Journal of Vibration and Control ◽

10.1177/1077546320982449 ◽

2020 ◽

pp. 107754632098244

Author(s):

Hamid Razmjooei ◽

Mohammad Hossein Shafiei ◽

Elahe Abdi ◽

Chenguang Yang

Keyword(s):

Finite Time ◽

Control Method ◽

Sliding Mode ◽

Robotic Manipulators ◽

Sliding Mode Controller ◽

Time Varying ◽

State Variables ◽

Terminal Sliding Mode ◽

Control Laws ◽

Finite Time Boundedness

In this article, an innovative technique to design a robust finite-time state feedback controller for a class of uncertain robotic manipulators is proposed. This controller aims to converge the state variables of the system to a small bound around the origin in a finite time. The main innovation of this article is transforming the model of an uncertain robotic manipulator into a new time-varying form to achieve the finite-time boundedness criteria using asymptotic stability methods. First, based on prior knowledge about the upper bound of uncertainties and disturbances, an innovative finite-time sliding mode controller is designed. Then, the innovative finite-time sliding mode controller is developed for finite-time tracking of time-varying reference signals by the outputs of the system. Finally, the efficiency of the proposed control laws is illustrated for serial robotic manipulators with any number of links through numerical simulations, and it is compared with the nonsingular terminal sliding mode control method as one of the most powerful finite-time techniques.

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CONTROLLING THE UNCERTAIN MULTI-SCROLL CRITICAL CHAOTIC SYSTEM WITH INPUT NONLINEAR USING SLIDING MODE CONTROL

Modern Physics Letters B ◽

10.1142/s0217984909020187 ◽

2009 ◽

Vol 23 (16) ◽

pp. 2021-2034 ◽

Cited By ~ 10

Author(s):

XINGYUAN WANG ◽

DA LIN ◽

ZHANJIE WANG

Keyword(s):

Chaotic System ◽

Sliding Mode ◽

Equilibrium Points ◽

Dead Zone ◽

Variable Structure ◽

Sliding Mode Controller ◽

Global Stabilization ◽

Structure Control ◽

Control Scheme ◽

Simulation Results

In this paper, control of the uncertain multi-scroll critical chaotic system is studied. According to variable structure control theory, we design the sliding mode controller of the uncertain multi-scroll critical chaotic system, which contains sector nonlinearity and dead zone inputs. For an arbitrarily given equilibrium point of the uncertain multi-scroll chaotic system, we achieve global stabilization for the equilibrium points. Particularly, a class of proportional integral (PI) switching surface is introduced for determining the convergence rate. Furthermore, the proposed control scheme can be extended to complex multi-scroll networks. Finally, simulation results are presented to demonstrate the effectiveness of the proposed control scheme.

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