Design of Decentralized Adaptive Sliding Mode Controller for the Islanded AC Microgrid With Ring Topology

Sliding mode control can restrain the perturbations generated from the intermittence of the renewable energy generation and the randomness of local loads when microgrids are operating in islanded mode. However, the microgrid consists of several subsystems and the interactions among them will cause the chattering problems under the overall sliding mode control. In this paper, the chattering restraint issues for voltage control of the islanded microgrid with a ring topology structure are investigated based on the decentralized adaptive sliding mode control strategies. Firstly, we construct a tracking error system with interconnections considering the power transmission among subsystems and nominal values of system states. Secondly, we design linear matrix inequalities (LMIs) according to the H∞ attenuation performance of the system external disturbances. Then, the tracking error performance and the control precision are guaranteed via the asymptotic stabilities of integral sliding mode surfaces. Adaptive laws are utilized to address the chattering problems of the sliding mode control. Finally, simulation results verify the effectiveness of the proposed decentralized control methods.

Download Full-text

Adaptive Sliding Mode Control Method for Z-Axis Vibrating Gyroscope Using Prescribed Performance Approach

Applied Sciences ◽

10.3390/app10144779 ◽

2020 ◽

Vol 10 (14) ◽

pp. 4779 ◽

Cited By ~ 2

Author(s):

Cheng Lu ◽

Liang Hua ◽

Xinsong Zhang ◽

Huiming Wang ◽

Yunxiang Guo

Keyword(s):

Sliding Mode Control ◽

Error Bound ◽

Control Method ◽

Sliding Mode ◽

Tracking Error ◽

Adaptive Sliding Mode Control ◽

Performance Control ◽

Prescribed Performance ◽

Adaptive Sliding Mode ◽

Mode Control

This paper investigates one kind of high performance control methods for Micro-Electro-Mechanical-System (MEMS) gyroscopes using adaptive sliding mode control (ASMC) scheme with prescribed performance. Prescribed performance control (PPC) method is combined with conventional ASMC method to provide quantitative analysis of gyroscope tracking error performances in terms of specified tracking error bound and specified error convergence rate. The new derived adaptive prescribed performance sliding mode control (APPSMC) can maintain a satisfactory control performance which guarantees system tracking error, at any time, to be within a predefined error bound and the error convergences faster than the error bound. Besides, adaptive control (AC) technique is integrated with PPC to online tune controller parameters, which will converge to their true values at last. The stability of the control system is proved in the Lyapunov stability framework and simulation results on a Z-axis MEMS gyroscope is conducted to validate the effectiveness of the proposed control approach.

Download Full-text

Robust stabilization of one-sided Lipschitz nonlinear systems via adaptive sliding mode control

Journal of Vibration and Control ◽

10.1177/1077546319889413 ◽

2019 ◽

Vol 26 (7-8) ◽

pp. 399-412

Author(s):

Wajdi Saad ◽

Anis Sellami ◽

Germain Garcia

Keyword(s):

Nonlinear Systems ◽

Sliding Mode Control ◽

Sliding Mode ◽

Adaptive Sliding Mode Control ◽

Linear Matrix ◽

Switching Function ◽

Parameter Uncertainties ◽

Adaptive Sliding Mode ◽

Mode Control ◽

Lipschitz Nonlinear Systems

In this paper, the problem of adaptive sliding mode control for varied one-sided Lipschitz nonlinear systems with uncertainties is investigated. In contrast to existing sliding mode control design methods, the considered models, in the current study, are affected by nonlinear control inputs, one-sided Lipschitz nonlinearities, unknown disturbances and parameter uncertainties. At first, to design the sliding surface, a specific switching function is defined. The corresponding nonlinear equivalent control is extracted and the resulting sliding mode dynamic is given. Novel synthesis conditions of asymptotic stability are derived in terms of linear matrix inequalities. Thereafter, to ensure the reachability of system states and the occurrence of the sliding mode, the sliding mode controller is designed. Any knowledge of the upper bound on the perturbation is not required and an adaptation law is proposed. At last, two illustrative examples are introduced.

Download Full-text

Adaptive Sliding Mode Control for a Class of Manipulator Systems with Output Constraint

Complexity ◽

10.1155/2021/6642795 ◽

2021 ◽

Vol 2021 ◽

pp. 1-7

Author(s):

Guangshi Li

Keyword(s):

Sliding Mode Control ◽

Control Method ◽

Sliding Mode ◽

Tracking Error ◽

Lyapunov Stability Theory ◽

Adaptive Sliding Mode Control ◽

Compact Set ◽

Adaptive Sliding Mode ◽

Mode Control ◽

System Output

In this paper, an adaptive sliding mode control method based on neural networks is presented for a class of manipulator systems. The main characteristic of the discussed system is that the output variable is required to keep within a constraint set. In order to ensure that the system output meets the time-varying constraint condition, the asymmetric barrier Lyapunov function is selected in the design process. According to Lyapunov stability theory, the stability of the closed-loop system is analyzed. It is demonstrated that all signals in the resulted system are bounded, the tracking error converges to a small compact set, and the system output limits in its constrained set. Finally, the simulation example is used to show the effectiveness of the presented control strategy.

Download Full-text

Design of adaptive sliding mode controller applied to ultrasonic motor

Assembly Automation ◽

10.1108/aa-04-2021-0048 ◽

2021 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Gangfeng Yan

Keyword(s):

Sliding Mode Control ◽

Control Method ◽

Sliding Mode ◽

Tracking Error ◽

Adaptive Sliding Mode Control ◽

Sliding Mode Controller ◽

Control Parameters ◽

Content Type ◽

Adaptive Sliding Mode ◽

Mode Control

Purpose The purpose of this paper is to achieve high-precision sliding mode control without chattering; the control parameters are easy to adjust, and the entire controller is easy to use in engineering practice. Design/methodology/approach Using double sliding mode surfaces, the gain of the control signal can be adjusted adaptively according to the error signal. A kind of sliding mode controller without chattering is designed and applied to the control of ultrasonic motors. Findings The results show that for a position signal with a tracking amplitude of 35 mm, the traditional sliding mode control method has a maximum tracking error of 0.3326 mm under the premise of small chattering; the boundary layer sliding mode control method has a maximum tracking error of 0.3927 mm without chattering, and the maximum tracking error of continuous switching adaptive sliding mode control is 0.1589 mm, and there is no chattering. Under the same control parameters, after adding a load of 0.5 kg, the maximum tracking errors of the traditional sliding mode control method, the boundary layer sliding mode control method and the continuous switching adaptive sliding mode control are 0.4292 mm, 0.5111 mm and 0.1848 mm, respectively. Originality/value The proposed method not only switches continuously, but also the amplitude of the switching signal is adaptive, while maintaining the robustness of the conventional sliding mode control method, which has strong engineering application value.

Download Full-text

Switching Gain Reduction in Adaptive Sliding Mode Control for Rigid Spacecraft Attitude Maneuvers

Mathematical Problems in Engineering ◽

10.1155/2013/602869 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Cited By ~ 2

Author(s):

Zhen Chen ◽

Binglong Cong ◽

Xiangdong Liu

Keyword(s):

Sliding Mode Control ◽

Sliding Mode ◽

External Disturbance ◽

Tracking Error ◽

Adaptive Sliding Mode Control ◽

System Response ◽

Spacecraft Attitude ◽

Adaptive Sliding Mode ◽

Mode Control ◽

Rigid Spacecraft

This paper investigates the overadaptation problem in current adaptive sliding mode control (ASMC) for rigid spacecraft attitude maneuvers. The inertia matrix uncertainty and external disturbance are taken into account, and an adaptive scheme is employed for the switching gain calculation. A detailed analysis of existing ASMC design reveals the fact that the switching gain would be overestimated if the ASMC algorithm is developed in the framework of conventional sliding mode control (SMC), owing to the unrelated adaptation caused by initial tracking error. The global sliding mode concept of integral sliding mode control (ISMC) is exploited to solve such a problem. The advantages of the proposed strategy are twofold. First, a much smaller switching gain is generated as compared to conventional ASMC. Second, the resulting small switching gain would not slow down the system response. The advantages of the proposed strategy are verified by both theoretical analysis and simulation results.

Download Full-text

Adaptive sliding mode control with linear matrix inequality based on a DEAP flexible actuator

2017 29th Chinese Control And Decision Conference (CCDC) ◽

10.1109/ccdc.2017.7979440 ◽

2017 ◽

Cited By ~ 2

Author(s):

Li Mengmeng ◽

Qiu Dehui ◽

Li Yuan ◽

Wang Qinglin

Keyword(s):

Sliding Mode Control ◽

Linear Matrix Inequality ◽

Sliding Mode ◽

Adaptive Sliding Mode Control ◽

Linear Matrix ◽

Matrix Inequality ◽

Adaptive Sliding Mode ◽

Mode Control

Download Full-text

Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System

Mathematical Problems in Engineering ◽

10.1155/2020/1565460 ◽

2020 ◽

Vol 2020 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Jiangbin Wang ◽

Ling Liu ◽

Chongxin Liu ◽

Xiaoteng Li

Keyword(s):

Sliding Mode Control ◽

Power System ◽

Design Process ◽

Equivalence Principle ◽

Sliding Mode ◽

Chaotic Oscillation ◽

Adaptive Sliding Mode Control ◽

Adaptive Sliding Mode ◽

Mode Control ◽

Control Scheme

The main purpose of the paper is to control chaotic oscillation in a complex seven-dimensional power system model. Firstly, in view that there are many assumptions in the design process of existing adaptive controllers, an adaptive sliding mode control scheme is proposed for the controlled system based on equivalence principle by combining fixed-time control and adaptive control with sliding mode control. The prominent advantage of the proposed adaptive sliding mode control scheme lies in that its design process breaks through many existing assumption conditions. Then, chaotic oscillation behavior of a seven-dimensional power system is analyzed by using bifurcation and phase diagrams, and the proposed strategy is adopted to control chaotic oscillation in the power system. Finally, the effectiveness and robustness of the designed adaptive sliding mode chaos controllers are verified by simulation.

Download Full-text