Discrete-Time Sliding-Mode Control With Improved Quasi-Sliding-Mode Domain

Ma, Haifeng; Wu, Jianhua; Xiong, Zhenhua

doi:10.1109/tie.2016.2580531

Cited by 119 publications

(58 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to (37) and (40), when a discrete-time system has a step uncertainty, i.e., ( ) = − ( + 1) + o( 2 ), the proposed reaching law possesses excellent properties; it will force the system states to enter the quasi-sliding mode manifold; once the representative points enter the QSM manifold, it never escapes from it. [42] cannot converge to zero, but only to remain always a periodic fluctuation around sliding surface ( ) = 0.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

See 1 more Smart Citation

A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

et al. 2018

Mathematical Problems in Engineering

View full text Add to dashboard Cite

This paper proposed a new sliding mode control algorithm for discrete-time systems with matched uncertainty. The new control algorithm is characterized by a new discrete switching surface. Although the exponential reaching law can reduce oscillation, the control effectiveness will be suppressed when the rate of change of disturbance is high. The exponential reaching law cannot force the system states to approach sliding surface ( ) = 0. In order to solve the contradiction between guaranteeing the basic property of quasi-sliding mode and reducing oscillation, a new discrete reaching law is proposed to improve the reaching process of discrete exponent reaching laws. The proposed method not only can force system state to approach the sliding surface ( ) = 0 in less width of the switching manifold than existing studies, but also can alleviate chattering when the system representative points are near zero point. Simulation results are provided to validate the feasibility and reasonability of the method.

show abstract

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…A fuzzy sliding mode control for discrete-time system is proposed in [36]. To suppress chattering, the continuous function is employed instead of the signum function [37]. The difference function is also adopted to further narrow the width of the QSMD [38].…”

Section: Introductionmentioning

confidence: 99%

A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

et al. 2018

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Hence, the quasisliding mode control has important theoretical value and practical significance to study the variable structure control method for discrete-time nonlinear systems. In recent years, the theory and design of variable structure control for discrete time systems are gradually increasing, and adaptive variable structure control method attracts many scholars because of its advantages of adaptive control and variable structure control [7]. And, in order to solve the disturbance problem in the system, the upper bound of uncertainty is adopted; it can also express that the disturbance problem is solved by the worst situation.…”

Section: Introductionmentioning

confidence: 99%

Neural Network PID Algorithm for a Class of Discrete-Time Nonlinear Systems

Kong

Yao

2018

Int. J. Onl. Eng.

View full text Add to dashboard Cite

Abstract-The control of nonlinear system is the hotspot in the control field. The paper proposes an algorithm to solve the tracking and robustness problem for the discrete-time nonlinear system. The completed control algorithm contains three parts. First, the dynamic linearization model of nonlinear system is designed based on Model Free Adaptive Control, whose model parameters are calculated by the input and output data of system. Second, the model error is estimated using the Quasi-sliding mode control algorithm, hence, the whole model of system is estimated. Finally, the neural network PID controller is designed to get the optimal control law. The convergence and BIBO stability of the control system is proved by the Lyapunov function. The simulation results in the linear and nonlinear system validate the effectiveness and robustness of the algorithm. The robustness effort of Quasi-sliding mode control algorithm in nonlinear system is also verified in the paper.Keywords-dynamic linearization model, quasi-sliding mode control, nonlinear system, neural network IntroductionWith increasing demands on the improvement of the precision control, the control problem of nonlinear system is attracting more and more attention [1]. Especially, the robustness problem of nonlinear control system model has gradually become an important topic in control theory. In general, control algorithms of nonlinear system mainly contain the neural network control, fuzzy logic control, the sliding mode control and model free adaptive control (MFAC).From universal approximation theory, a single hidden layer neural network can approximate any nonlinear function to any prescribed accuracy if sufficient hidden neurons are provided [2]. However, the training examples are usually much larger than the hidden nodes, and selecting the appropriate number of hidden nodes is the key factor which determining the error of the prediction model. And the algorithm of the control system can't ensure the global optimal value of weight [3]. The fuzzy logic system can also approximate any nonlinear function to any prescribed accuracy, and it has the advantages in dealing with the time-delay, time-varying, multi input single output nonlinear system [4]. Especially, the combination between fuzzy control and PID iJOE

show abstract

“…However, the low-accuracy tracking performance, slow transient response and poor rejection of the aperiodic disturbances are the main limitations of the typical repetitive controller. The discrete-time sliding-mode is suggested as another control strategy to ensure the output voltage quality in [17]- [21]. The interesting feature of the discrete-time sliding-mode control is its robustness, fast transient response and simple digital implementation.…”

mentioning

confidence: 99%

“…Despite the aforementioned advantages, this technique suffers from some drawbacks, including the so-called chattering phenomenon resulted from the actuator limitations or time discretization, which can deteriorate the control accuracy and performance of the system. [20], [21].…”

mentioning

confidence: 99%

Optimal Performance Design Guideline of Hybrid Reference Frame Based Dual-Loop Control Strategy for Stand-Alone Single-Phase Inverters

Han

Jiang

Coelho

et al. 2018

IEEE Trans. Energy Convers.

View full text Add to dashboard Cite

Abstract-The dual-loop control strategy in hybrid reference frame (HRF) for single-phase voltage source inverters (VSIs) in islanded operation mode is studied, which applies a capacitor voltage shaping loop in the synchronous reference frame (SRF) and a capacitor current shaping loop in the stationary reference frame (HRF-based v+i c control strategy). This strategy is able to achieve the purpose of active damping, fast dynamic response and zero reference tracking error. However, due to the inherent characteristics of SRF-based voltage loop and the digital control delay, the performance of the system is degraded and the control parameter design of HRF-based v+i c control strategy shows great difficulties. To overcome these shortcomings, in this paper, a systematic parameter design guideline for HRF-based v+i c control strategy is proposed to ensure the system stability and optimize the performance of the system under control delay condition. The mathematic model of the HRF-based v+i c control strategy is established with the consideration of control delay in this paper. Based on this model, a satisfactory region of the system stability indexes can be obtained by stability specifications of the system and the optimal control parameters can be calculated according to the stability indexes selected from the satisfactory region. By using this method, the system stability and robustness can be guaranteed. Finally, the experimental results are presented to validate the effectiveness of the presented optimal control parameter design methodologies.Index Terms-Control delay, single-phase inverter, hybrid reference frame, islanded mode, parameter design guideline. NOMENCLATURE Abbreviations HRFHybrid reference frame. VSI Voltage source inverter.

show abstract

Discrete-Time Sliding-Mode Control With Improved Quasi-Sliding-Mode Domain

Cited by 119 publications

References 27 publications

A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

Neural Network PID Algorithm for a Class of Discrete-Time Nonlinear Systems

Optimal Performance Design Guideline of Hybrid Reference Frame Based Dual-Loop Control Strategy for Stand-Alone Single-Phase Inverters

Contact Info

Product

Resources

About