Sliding mode control of continuous-time switched systems with signal quantization and actuator nonlinearity

Cheng, Yong; Liu, Tianhe; Weng, Rui; Cai, Bo; Wang, Changhong

doi:10.1177/0036850420912150

Cited by 5 publications

(2 citation statements)

References 33 publications

(36 reference statements)

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“…MAO et al 13 proposed a new adaptive fault-tolerant sliding mode control scheme considering disturbance and actuator failure. Although sliding mode control [14][15][16][17][18] has a good tracking effect, it can easily produce a chattering phenomenon. Although some correction methods, such as the saturation function method, can effectively reduce the chattering phenomenon, they will sacrifice the advantage of outstanding anti-disturbance performance.…”

Section: Introductionmentioning

confidence: 99%

Improved active disturbance rejection speed control for autonomous driving of high-speed train based on feedforward compensation

Yue,

Wang,

Xiao

et al. 2023

Science Progress

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Due to the complex and changeable train operation environment and the unstable and time-varying parameters, accurate modeling is limited. Therefore, a modified active disturbance rejection control algorithm based on feedforward compensation (FC-MADRC) is proposed targeting the speed control problem of trains under the circumstances of external disturbances, which reduces the dependence on the train model. Firstly, the state space equation is established based on the single-particle mathematical model of the train, and all the running resistances are regarded as disturbances. Secondly, the FC-MADRC algorithm is designed. Based on the terminal attractor function and the novel Sigmoid function, an improved tracking differentiator (ITD) is designed. An improved fal (nsfal) function with better smoothness is constructed by using the properties of the Dirac δ function, and an ameliorative nonlinear state error feedback (ANLSEF) and a modified extended state observer (IESO) are designed based on the nsfal function. Furthermore, based on the thought of PID, the integral term of error is introduced into ANLSEF for the nonlinear operation to reduce the steady-state error of train speed tracking. In order to promote the robustness and control accuracy of the system, the feedforward compensation term and disturbance compensation term are combined to perform dynamic compensation for disturbances in real time. Finally, the simulation is carried out with CRH380A train data. The results indicate that compared with conventional ADRC and 2DOF-PID, FC-MADRC has the more vital anti-disturbance ability and higher tracking accuracy. FC-MADRC has the advantages of solid anti-disturbance, fast response, and high tracking accuracy. Under the premise of external disturbance, it can still achieve accurate speed tracking under different road conditions.

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Section: Introductionmentioning

confidence: 99%

Improved active disturbance rejection speed control for autonomous driving of high-speed train based on feedforward compensation

Yue,

Wang,

Xiao

et al. 2023

Science Progress

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show abstract

“…Although, in the recent decades issues concerning switched systems such as sliding mode control (SMC) in the assessment of stability and stabilization (Jing et al, 2011), robust H∞ sliding mode control (Lian et al, 2009), SMC of switched systems with faults in actuator (Liu et al, 2014), SMC of time-delayed switched systems (Wu and Lam, 2008), integral SMC of non-linear switched systems (Lian et al, 2010), SMC of discrete switched systems (Yu et al, 2013), intelligent fuzzy and neural networks control (Faria et al, 2014; Singh and Sukavanam, 2012), State-estimation-based ASMC (Lin and Zhen, 2020), the SMC of switched systems with signal quantization and actuator nonlinearity (Cheng et al, 2020), have been the focus of many researchers. But the topic of model reference ASMC using RBFNN is still an open and wide discussion.…”

Section: Introductionmentioning

confidence: 99%

Adaptive sliding mode control of switched linear systems using disturbance observer based on the RBF neural network

Hosseini

Noei

2022

Journal of Vibration and Control

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This study deals with analyze of an adaptive sliding model controller for a class of switched linear systems in the context of model reference adaptive control (MRAC) using RBF neural network (RBFNN) with the aid of disturbance observer (DO). For this purpose, adaptive laws and switching rules are designed. These are constructed based on tracking error and sliding mode control, together with using time-dependent switching conceptualizations. A DO is used to estimate the external disturbance with an adaptive RBFNN which is applied to obtain the external disturbance upper bound estimation, combined with an adaptive sliding mode control (ASMC) under the identic Lyapunov stability framework. The switching rules are based on dwell time (DT) and average dwell time (ADT) switching. The ASMC updates the system dynamics so that it assures the proposed closed-loop switched linear system stability via fast switching, resulting in the form of globally uniformly ultimately bounded (GUUB) stability. The convergence of the process of updating the weights in the adaptive RBFNN and the boundedness of updated estimates of weights are satisfied. Achieving the state tracking, robustness, reducing the chattering problem and anti-disturbance performance are the main objectives. Moreover, switching rules based on the mode-dependent approaches have been developed, which can allow faster switching as compared to switching rules based on the DT and ADT. Finally, to evaluate the efficiency of the obtained theoretical results, the controller and the proposed method have been tested on the electro-hydraulic system (EHS).

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Sufficient conditions in terms of linear matrix inequalities for guaranteed ultimately boundedness of solutions of switched Takagi-Sugeno fuzzy systems using the S-procedure

Valentino

Faria

Oliveira

et al. 2021

Information Sciences

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Sliding mode control of continuous-time switched systems with signal quantization and actuator nonlinearity

Cited by 5 publications

References 33 publications

Improved active disturbance rejection speed control for autonomous driving of high-speed train based on feedforward compensation

Improved active disturbance rejection speed control for autonomous driving of high-speed train based on feedforward compensation

Adaptive sliding mode control of switched linear systems using disturbance observer based on the RBF neural network

Sufficient conditions in terms of linear matrix inequalities for guaranteed ultimately boundedness of solutions of switched Takagi-Sugeno fuzzy systems using the S-procedure

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