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

Pai, Ming‐Chang

doi:10.1002/asjc.1828

Cited by 19 publications

(17 citation statements)

References 41 publications

(87 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The quadrotor aircraft shaped with four propellers has been widely used in the field of aviation because of simple structures, small sizes, flexible flight, low costs, and excellent performances [1][2][3][4]. It is a cross-shaped structure with four propellers.…”

Section: Introductionmentioning

confidence: 99%

Neural‐network‐based robust terminal sliding‐mode control of quadrotor

Lin

Wang

Liu

2020

Asian Journal of Control

View full text Add to dashboard Cite

A novel robust terminal sliding-mode control (RTSMC) based on radial basis function (RBF) neural network is proposed firstly for controlling the attitude and position of the quadrotor, guaranteeing the system converged to stability point in a limited time. After establishing the nonlinear kinematics and dynamics models of the system, robust control is adopted in the RBF neural network terminal sliding-mode controller such that the impact of external interference is reduced effectively. Resorting to the Lyapunov function, the asymptotically stable condition for the considered system is obtained, in which the convergence of the system is deduced in a finite time. Furthermore, simulation results are given to show the faster convergence speed and strong robustness for the considered system with RBF and RTSMC. Finally, the effectiveness and robustness of the developed control strategy is validated experimentally.

show abstract

Section: Introductionmentioning

confidence: 99%

Neural‐network‐based robust terminal sliding‐mode control of quadrotor

Lin

Wang

Liu

2020

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

“…For example, in Pai (2019), the author utilizes SMC to process a class of uncertain time-delay nonlinear systems with input nonlinearity; in Kchaou and Ahmadi (2017), the authors indicate that input nonlinearity consist of dead-zones and/or sector nonlinearities. However, Li et al (2012) and Pai (2019) only developed the control strategy to solve the stabilization problems with known bounds of input nonlinearity and uncertainties; therefore, these papers cannot apply to the systems with unknown bounds of input nonlinearities. Kchaou and Ahmadi (2017) proposed an adaptive law with high order.…”

Section: Introductionmentioning

confidence: 99%

“…As for the input nonlinearity issue, the work (Li et al, 2012) indicates that the input nonlinearity phenomenon does exist in the real physical applications due to the actuator with limitations. For example, in Pai (2019), the author utilizes SMC to process a class of uncertain time-delay nonlinear systems with input nonlinearity; in Kchaou and Ahmadi (2017), the authors indicate that input nonlinearity consist of dead-zones and/or sector nonlinearities. However, Li et al (2012) and Pai (2019) only developed the control strategy to solve the stabilization problems with known bounds of input nonlinearity and uncertainties; therefore, these papers cannot apply to the systems with unknown bounds of input nonlinearities.…”

Section: Introductionmentioning

confidence: 99%

Robust sliding model control-based adaptive tracker for a class of nonlinear systems with input nonlinearities and uncertainties

Fang

Tsai

Yan

et al. 2020

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

A robust adaptive tracker is newly proposed for a class of nonlinear systems with input nonlinearities and uncertainties. Because the upper bounds of input nonlinearities and uncertainties are difficult to be acquired, the adaptive control integrated with sliding mode control (SMC) and radial basis function neural network (RBFNN) are utilized to cope with these undesired problems and effectively complete the robust tracker design. The main contributions are concluded as follows: (1) new sufficient conditions are obtained such that the proposed adaptive control laws can avoid overestimation; (2) A smooth [Formula: see text] function is introduced to eliminate the undesired chattering phenomenon in the traditional SMC systems; (3) A robust tracker is proposed such that the controlled system outputs can robustly track the pre-specified trajectories directly, even when subjected to unknown input nonlinearities and uncertainties. Finally, the numerical simulation results are illustrated to verify the proposed approach.

show abstract

“…It is now well recognized that some network phenomena are existence in the process of signal transmission, the typical one is time delay, which is ubiquitous in all kinds of systems including differential equations with non‐monotone bistable nonlinearities [4], food‐chain model [5], neutral‐type stochastic Markovian jump static neural networks [6], and so on. Similarly, amounts of results already have been done on the synchronization control of dynamical networks with time delay [7‐11].…”

Section: Introductionmentioning

confidence: 99%

Variance‐constrained H_∞ synchronization control of discrete time‐delayed complex dynamical networks: An intermittent pinning approach

Zhang

Wei

Ding

et al. 2020

Asian Journal of Control

View full text Add to dashboard Cite

In this paper, the variance‐constrained H∞ synchronization control problem is investigated for a class of discrete time‐delayed complex dynamical networks. Considering the case where a dynamical network cannot achieve the synchronization by itself, the feedback controllers are added to drive the network toward a desired orbit. To further decrease both the frequency of controller update and the energy consumption, an intermittent pinning strategy is developed to control only a small part of the network nodes. The purpose of the addressed synchronization control problem is to design a set of feedback controllers such that the closed‐loop system achieves both the prescribed H∞ disturbance attenuation level and the variance constraints. By resorting to a combination of the Lyapunov stability theory and the switching system approach, a sufficient condition is obtained under which the dynamical network reaches the overall synchronization. Furthermore, the expected gains of the intermittent pinning controllers are parameterized by solving a set of linear matrix inequalities. Finally, a numerical example is exploited to verify the effectiveness of our proposed theoretical results.

show abstract

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

Cited by 19 publications

References 41 publications

Neural‐network‐based robust terminal sliding‐mode control of quadrotor

Neural‐network‐based robust terminal sliding‐mode control of quadrotor

Robust sliding model control-based adaptive tracker for a class of nonlinear systems with input nonlinearities and uncertainties

Variance‐constrained H_∞ synchronization control of discrete time‐delayed complex dynamical networks: An intermittent pinning approach

Contact Info

Product

Resources

About

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

Cited by 19 publications

References 41 publications

Neural‐network‐based robust terminal sliding‐mode control of quadrotor

Neural‐network‐based robust terminal sliding‐mode control of quadrotor

Robust sliding model control-based adaptive tracker for a class of nonlinear systems with input nonlinearities and uncertainties

Variance‐constrained H∞ synchronization control of discrete time‐delayed complex dynamical networks: An intermittent pinning approach

Contact Info

Product

Resources

About

Variance‐constrained H_∞ synchronization control of discrete time‐delayed complex dynamical networks: An intermittent pinning approach