Approximation Optimal Vibration for Networked Nonlinear Vehicle Active Suspension with Actuator Time Delay

Han, Shiyuan; Zhang, Chenghui; Tang, Gong‐You

doi:10.1002/asjc.1419

Cited by 32 publications

(15 citation statements)

References 23 publications

(46 reference statements)

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“…Some significant results have been reported in [5,6]. Especially, adaptive fuzzy/neural backstepping control methods have also been extended to nonlinear time-delay systems [7][8][9]. Stochastic disturbances were put into account in [10,11].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Neural Dynamic Surface Control for Stochastic Nonlinear Time‐Delay Systems with Input and Output Constraints

Dong

Yang

2017

Asian Journal of Control

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This paper presents an adaptive neural tracking control approach for uncertain stochastic nonlinear time‐delay systems with input and output constraints. Firstly, the dynamic surface control (DSC) technique is incorporated into adaptive neural control framework to overcome the problem of ‘explosion of complexity’ in the control design. By employing a continuous differentiable asymmetric saturation model, the input constraint problem is solved. Secondly, the appropriate Lyapunov‐Krasovskii functional and the property of hyperbolic tangent functions are used to deal with the unknown time‐delay terms, RBF neural network is utilized to identify the unknown systems functions, and barrier Lyapunov functions (BLFs) are designed to avoid the violation of the output constraint. Finally, based on adaptive backstepping technique, an adaptive neural control method is proposed, and it decreases the number of learning parameters. Using Lyapunov stability theory, it is proved that the designed controller can ensure that all the signals in the closed‐loop system are 4‐Moment (or 2 Moment) semi‐globally uniformly ultimately bounded (SGUUB) and the tracking error converges to a small neighborhood of the origin. Two simulation examples are provided to further illustrate the effectiveness of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Adaptive Neural Dynamic Surface Control for Stochastic Nonlinear Time‐Delay Systems with Input and Output Constraints

Dong

Yang

2017

Asian Journal of Control

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“…Many researchers have engaged in the efforts to the implementation of control schemes for nonlinear offshore platforms, e.g., a robust mixed control method for wave-excited offshore jacket platforms is proposed in [17] to minimize the upper bound of the performance measure on platform dynamics satisfying some norm bound constraint simultaneously; a novel sliding mode control scheme is proposed by using information about mixed current and delayed states in [18]; by combining a sliding mode control technique, the adaptive control algorithm and wavelet support vector machine, an adaptive integral sliding mode control to handle the nonlinear behavior of the offshore platform in [19]. Meanwhile, the optimal vibration control theories provide efficient methods to improve the control performance of control systems with smaller control consumption [20][21][22][23]. However, optimal control for a nonlinear discrete system will lead to a Hamilton-Jacobi-Bellman (HJB) equation with no exact analytical solution except [24].…”

Section: Introductionmentioning

confidence: 99%

Digital-Control-Based Approximation of Optimal Wave Disturbances Attenuation for Nonlinear Offshore Platforms

et al. 2017

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Abstract:The irregular wave disturbance attenuation problem for jacket-type offshore platforms involving the nonlinear characteristics is studied. The main contribution is that a digital-control-based approximation of optimal wave disturbances attenuation controller (AOWDAC) is proposed based on iteration control theory, which consists of a feedback item of offshore state, a feedforward item of wave force and a nonlinear compensated component with iterative sequences. More specifically, by discussing the discrete model of nonlinear offshore platform subject to wave forces generated from the Joint North Sea Wave Project (JONSWAP) wave spectrum and linearized wave theory, the original wave disturbances attenuation problem is formulated as the nonlinear two-point-boundary-value (TPBV) problem. By introducing two vector sequences of system states and nonlinear compensated item, the solution of introduced nonlinear TPBV problem is obtained. Then, a numerical algorithm is designed to realize the feasibility of AOWDAC based on the deviation of performance index between the adjacent iteration processes. Finally, applied the proposed AOWDAC to a jacket-type offshore platform in Bohai Bay, the vibration amplitudes of the displacement and the velocity, and the required energy consumption can be reduced significantly.

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“…By utilizing an active mass damper and a multi‐modal negative acceleration feedback control algorithm, the active vibration control of structures was studied in . Some more achievements can be seen in and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Vibration‐Attenuation Controller Design for Structural Systems with Multi‐Rate Sampled Data

Weng

Guo

Ding

et al. 2017

Asian Journal of Control

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The problem of vibration-attenuation controller design for structural systems with multi-rate sampled data is investigated in this paper. The objective of designing controllers is to guarantee the stability and anti-disturbance performance of closedloop systems. Firstly, based on matrix transformation, the state-space model of structural systems with multi-rate sampled data and uncertainties appearing in the mass, damping, and stiffness matrices is established. Secondly, in terms of the Lyapunov stability theory and linear matrix inequality (LMI) techniques, a sufficient condition is established for the system without uncertainties to be stabilizable. If the condition is solvable, the controller can be obtained such that the closed-loop system is stable with a prescribed level of disturbance attenuation performance. Furthermore, the condition is also extended to its uncertain case. Finally, numerical examples are given to demonstrate the effectiveness of the proposed theorems.

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Approximation Optimal Vibration for Networked Nonlinear Vehicle Active Suspension with Actuator Time Delay

Cited by 32 publications

References 23 publications

Adaptive Neural Dynamic Surface Control for Stochastic Nonlinear Time‐Delay Systems with Input and Output Constraints

Adaptive Neural Dynamic Surface Control for Stochastic Nonlinear Time‐Delay Systems with Input and Output Constraints

Digital-Control-Based Approximation of Optimal Wave Disturbances Attenuation for Nonlinear Offshore Platforms

Vibration‐Attenuation Controller Design for Structural Systems with Multi‐Rate Sampled Data

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