A Discrete-Time Global Quasi-Sliding Mode Control Scheme with Bounded External Disturbance Rejection

This paper presents a new sliding mode adaptive controller for MEMS z-axis gyroscope. The proposed adaptive sliding mode control algorithm can on-line estimate the component of the angular velocity vector, which is orthogonal to the plane of oscillation of the gyroscope (the z-axis) and the linear damping and stiffness model coefficients. The stability of the closed-loop system can be guaranteed with the proposed control strategy. The numerical simulation for MEMS Gyroscope is investigated to verify the effectiveness of the proposed adaptive sliding mode control scheme. It is shown that the proposed adaptive sliding mode control scheme offers several advantages such as on-line estimation of gyroscope parameters including angular rate and large robustness to parameter variations and external disturbance.

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Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System

Journal of Control Science and Engineering ◽

10.1155/2015/218198 ◽

2015 ◽

Vol 2015 ◽

pp. 1-7 ◽

Cited By ~ 11

Author(s):

Xie Zheng ◽

Xie Jian ◽

Du Wenzheng ◽

Cheng Hongjie

Keyword(s):

Sliding Mode Control ◽

Sliding Mode ◽

External Disturbance ◽

Lyapunov Stability Theory ◽

Second Order ◽

Integral Sliding Mode Control ◽

Integral Sliding Mode ◽

Mode Control ◽

Control Scheme ◽

Sliding Manifold

A nonlinear integral sliding-mode control (NISMC) scheme is proposed for second order nonlinear systems. The new control scheme is characterized by a nonlinear integral sliding manifold which inherits the desired properties of the integral sliding manifold, such as robustness to system external disturbance. In particular, compared with four kinds of sliding mode control (SMC), the proposed control scheme is able to provide better transient performances. Furthermore, the proposed scheme ensures the zero steady-state error in the presence of a constant disturbance or an asymptotically constant disturbance is proved by Lyapunov stability theory and LaSalle invariance principle. Finally, both the theoretical analysis and simulation examples demonstrate the validity of the proposed scheme.

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Discrete-time sliding mode control for a class of nonlinear process

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnz011 ◽

2019 ◽

Vol 37 (2) ◽

pp. 513-534

Author(s):

Luning Ma ◽

Dongya Zhao ◽

Shuzhan Zhang ◽

Jiehua Feng ◽

Lei Cao

Keyword(s):

Sliding Mode Control ◽

Discrete Time ◽

Sliding Mode ◽

External Disturbance ◽

Nonlinear Process ◽

Nonlinear Processes ◽

Mode Control ◽

Efficient Control ◽

Equivalent Control ◽

Nonlinear Process Control

Abstract The efficient control of nonlinear processes is generally considered to be challenging. The development of digital computers promotes the study of nonlinear process control technology. Due to the discrete sampling of digital computer, it is necessary to develop the corresponding control algorithms for nonlinear processes. In this paper, a new equivalent control-based discrete-time sliding mode control is proposed for a class of nonlinear process with uncertainty and external disturbance. An adaptive law and a disturbance observer are designed to estimate the uncertainty and the disturbance, respectively. By combining with them, the new discrete-time sliding mode control is developed with good performance. The corresponding theoretical analysis is well verified by using Lyapunov function. Finally, the proposed approach is demonstrated by case studies in light of MATLAB.

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Robust predictive sliding mode control for input rate-constrained discrete-time system

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dny010 ◽

2018 ◽

Vol 36 (3) ◽

pp. 901-919 ◽

Cited By ~ 1

Author(s):

Rong Li ◽

Qingxian Wu

Keyword(s):

Sliding Mode Control ◽

Discrete Time ◽

Sliding Mode ◽

Input Rate ◽

Discrete Time System ◽

Control Approach ◽

Mode Control ◽

Discrete Time Systems ◽

Control Scheme ◽

Time Systems

Abstract This paper investigates a class of uncertain linear discrete-time systems subject to input rate saturation. A predictive sliding mode control approach is proposed which guarantees the control inputs remain bounded in the input rate saturation. Furthermore, the disturbance observer is developed to compensate for the system uncertainty and disturbance. Finally, the simulations demonstrate the effectiveness of the proposed predictive sliding mode control scheme.

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Continuous sliding mode control for the translational oscillator with a rotating actuator system

Transactions of the Institute of Measurement and Control ◽

10.1177/01423312211069107 ◽

2022 ◽

pp. 014233122110691

Author(s):

Liqiang Wang ◽

Xianqing Wu ◽

Meizhen Lei

Keyword(s):

Sliding Mode Control ◽

Disturbance Rejection ◽

Control Method ◽

Sliding Mode ◽

Control Performance ◽

Mode Control ◽

Stabilization Control ◽

Control Scheme ◽

Sliding Manifold ◽

Actuator System

The stabilization and disturbance rejection of the translational oscillator with a rotating actuator (TORA) are considered in this paper. To deal with the control issues, a novel continuous sliding mode control method is designed for the TORA system. Compared with existing sliding mode control methods for the TORA system, the proposed method here is continuous. Specifically, first, a global diffeomorphism is introduced for the model of the TORA system. Then, an elaborate sliding manifold is constructed, and a continuous sliding mode control scheme is developed to ensure the convergence of the sliding manifold. Furthermore, rigorous theoretical analysis is given. Finally, simulation tests are carried out, and the obtained simulation results demonstrate that the proposed method exhibits superior stabilization control performance and strong robustness.

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Adaptive Sliding Mode Control of a Nonlinear Electro-hydraulic Servo System for Position Tracking

Mechanika ◽

10.5755/j01.mech.25.4.22822 ◽

2019 ◽

Vol 25 (4) ◽

pp. 283-290

Author(s):

Mingxing YANG ◽

Qi ZHANG ◽

Xinliang LU ◽

Ruru XI ◽

Xingsong WANG

Keyword(s):

Sliding Mode Control ◽

Sliding Mode ◽

External Disturbance ◽

Servo System ◽

Projection Algorithm ◽

Adaptive Sliding Mode Control ◽

Unknown Parameters ◽

Adaptive Sliding Mode ◽

Mode Control ◽

Control Scheme

In view of the electro-hydraulic position servo system with parameter uncertainty and bounded disturbances, an improved adaptive sliding mode control scheme is proposed. The mathematical model of the valve-controlled system is first constructed with consideration of the external disturbance, matched and mismatched unknown parameters. Then, the parametric adaptive estimation laws are established by Lyapunov technique to estimate the generalized uncertainty parameters, and the discontinuous projection algorithm is used to ensure the boundedness of parameter estimation. In order to eliminate the chattering phenomenon in sliding mode control, the saturation function is designed to replace the sign function and the gain coefficient is adjustable on the sliding surface. Finally, the comparative experimental results clarify that the proposed control scheme has better control performance than the PID controller and the SMC controller.

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