RBF‐based discrete sliding mode control for robust tracking of uncertain time‐delay systems with input nonlinearity

Pai, Ming‐Chang

doi:10.1002/cplx.21679

Cited by 17 publications

(21 citation statements)

References 23 publications

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“…Theorem 2. The overall closed-loop uncertain discrete time-delay nonlinear system with input nonlinearity (3) and the state observer (4) is stable if the sliding manifolds (6) and (10), the control law (11), and the auxiliary control (14) are employed, and there exist a matrix W ∈ R m × n and positive-definite symmetric matrices X ∈ R n × n and M ∈ R n × n such that the LMI condition 7 is satisfied.…”

Section: Design Of State Observermentioning

confidence: 99%

“…Remark 3. In order to remove the chattering phenomenon caused by the sign function in the control law (11) and the auxiliary control (14), the sign function is replaced by the tanh fucntion. The control law (11) and the auxiliary control (14) can be expressed as…”

Section: Design Of State Observermentioning

confidence: 99%

“…Hence, the problem of robust stabilization and tracking control for uncertain nonlinear systems has been widely investigated. Over the past decades, a range of research has been undertaken in this field . However, these studies assumed that all system states are known.…”

Section: Introductionmentioning

confidence: 99%

“…Over the past decades, a range of research has been undertaken in this field. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] However, these studies assumed that all system states are known. From a practical point of view, the system states may not be available and only the system outputs can be measured in many systems.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Observer‐Based Global Sliding Mode Control for Uncertain Discrete‐Time Nonlinear Systems with Time‐Delays and Input Nonlinearity

Pai

2018

Asian Journal of Control

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A new discrete‐time adaptive global sliding mode control (SMC) scheme combined with a state observer is proposed for the robust stabilization of uncertain nonlinear systems with mismatched time delays and input nonlinearity. A state observer is developed to estimate the unmeasured system states. By using Lyapunov stability theorem and linear matrix inequality (LMI), the condition for the existence of quasi‐sliding mode is derived and the stability of the overall closed‐loop system is guaranteed. Finally, simulation results are presented to demonstrate the validity of the proposed scheme.

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Section: Design Of State Observermentioning

confidence: 99%

Section: Design Of State Observermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Adaptive Observer‐Based Global Sliding Mode Control for Uncertain Discrete‐Time Nonlinear Systems with Time‐Delays and Input Nonlinearity

Pai

2018

Asian Journal of Control

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“…Nowadays, RBF method has been a well-adopted tool in the stock market forecast and the prediction of nonlinear system [21][22][23]. An increasingly popular and promising approach to solve option pricing models is the use of numerical methods based on RBF [24].…”

Section: Radial Basis Function (Rbf) Neural Network (Nn)mentioning

confidence: 99%

Forecasting the Acquisition of University Spin-Outs: An RBF Neural Network Approach

Liu

Yang

2017

Complexity

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University spin-outs (USOs), creating businesses from university intellectual property, are a relatively common phenomena. As a knowledge transfer channel, the spin-out business model is attracting extensive attention. In this paper, the impacts of six equities on the acquisition of USOs, including founders, university, banks, business angels, venture capitals, and other equity, are comprehensively analyzed based on theoretical and empirical studies. Firstly, the average distribution of spin-out equity at formation is calculated based on the sample data of 350 UK USOs. According to this distribution, a radial basis function (RBF) neural network (NN) model is employed to forecast the effects of each equity on the acquisition. To improve the classification accuracy, the novel set-membership method is adopted in the training process of the RBF NN. Furthermore, a simulation test is carried out to measure the effects of six equities on the acquisition of USOs. The simulation results show that the increase of university's equity has a negative effect on the acquisition of USOs, whereas the increase of remaining five equities has positive effects. Finally, three suggestions are provided to promote the development and growth of USOs.

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Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

Wang

Lin

2016

Complexity

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This article deals with the positioning control problem via the output feedback scheme for a linear actuator with nonlinear disturbances. In this study, the proposed controller accounts for not only the nonlinear friction, force ripple, and external disturbance but also the input saturation problem. In detail, the energy consumption for conquering friction and disturbance rejection is estimated and used as compensation based on the hybrid controller including ℋ∞ and sliding‐mode‐based adaptive algorithms, which ensures the tracking performance and robustness of electromechanical servo system. Moreover, to confront the input saturation, a saturation observer and an anti‐windup controller are designed. The global robustness of the controller is guaranteed by an output feedback robust law. Theoretically, the designed controller can guarantee a favorable tracking performance in the presence of various disturbance forces and input saturation, which is essential for high accuracy motion plant in industrial application. The simulation results verify the robustness and effectiveness for the motion system with the proposed control strategy under various operation conditions. © 2016 Wiley Periodicals, Inc. Complexity 21: 191–200, 2016

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RBF‐based discrete sliding mode control for robust tracking of uncertain time‐delay systems with input nonlinearity

Cited by 17 publications

References 23 publications

Adaptive Observer‐Based Global Sliding Mode Control for Uncertain Discrete‐Time Nonlinear Systems with Time‐Delays and Input Nonlinearity

Adaptive Observer‐Based Global Sliding Mode Control for Uncertain Discrete‐Time Nonlinear Systems with Time‐Delays and Input Nonlinearity

Forecasting the Acquisition of University Spin-Outs: An RBF Neural Network Approach

Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

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