scholarly journals Robust Adaptive Synchronization of the Energy Resource System with Constraint

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Duo Meng
Keyword(s):  
Energy Resource ◽  
Supply System ◽  
Lyapunov Theory ◽  
Adaptive Synchronization ◽  
Input Constraint ◽  
Resource Demand ◽  
Control Approach ◽  
Energy Resource System ◽  
Design Systems ◽  
Robust Adaptive

Two different chaos synchronization methods are proposed for a class of energy resource demand supply-system with input constraint. Firstly, chaotic synchronization is achieved for a class of energy resource demand supply system with known system parameters based on the Lyapunov theory. Secondly, an adaptive control approach is investigated for a class of energy resource demand supply system with input constraint, and the parameters of the system are unknown based on the Lyapunov stability and robust adaptive theory. To address the input constraint, new auxiliary signals and design systems are employed. Numerical simulations are provided to illustrate the effectiveness of the proposed approach.

Dynamics and adaptive synchronization of the energy resource system

2007 ◽  
Vol 31 (4) ◽  
pp. 879-888 ◽  
Author(s):  
Mei Sun ◽  
Lixin Tian ◽  
Ying Fu ◽  
Wei Qian
Keyword(s):  
Energy Resource ◽  
Adaptive Synchronization ◽  
Energy Resource System ◽  
Resource System

scholarly journals Adaptive Synchronization for Two Different Stochastic Chaotic Systems with Unknown Parameters via a Sliding Mode Controller

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Zengyun Wang ◽  
Lihong Huang ◽  
Xuxin Yang ◽  
Dingyang Lu
Keyword(s):  
Chaotic Systems ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Adaptive Synchronization ◽  
Sliding Mode Controller ◽  
Unknown Parameters ◽  
Adaptive Sliding Mode ◽  
Adaptive Sliding Mode Controller ◽  
Main Work ◽  
Robust Adaptive

This paper investigates the problem of synchronization for two different stochastic chaotic systems with unknown parameters and uncertain terms. The main work of this paper consists of the following aspects. Firstly, based on the Lyapunov theory in stochastic differential equations and the theory of sliding mode control, we propose a simple sliding surface and discuss the occurrence of the sliding motion. Secondly, we design an adaptive sliding mode controller to realize the asymptotical synchronization in mean squares. Thirdly, we design an adaptive sliding mode controller to realize the almost surely synchronization. Finally, the designed adaptive sliding mode controllers are used to achieve synchronization between two pairs of different stochastic chaos systems (Lorenz-Chen and Chen-Lu) in the presence of the uncertainties and unknown parameters. Numerical simulations are given to demonstrate the robustness and efficiency of the proposed robust adaptive sliding mode controller.

Robust Adaptive Control of PEMFC Air Supply System Based on Radical Basis Function Neural Network

2019 ◽  
Vol 141 (6) ◽  
Author(s):  
Yun-Long Wang ◽  
Yong-Fu Wang ◽  
Hua-Kai Zhang
Keyword(s):  
Neural Network ◽  
Adaptive Learning ◽  
Basis Function ◽  
Tracking Error ◽  
Approximation Error ◽  
Supply System ◽  
Robust Adaptive Control ◽  
Lyapunov Theory ◽  
Air Supply ◽  
Robust Adaptive

This technical brief emphasizes on the control of polymer electrolyte membrane fuel cell (PEMFC) air supply system. The control objective is to improve the net power output through adjusting the oxygen excess ratio within a reasonable range. In view of the problem that the PEMFC air supply system is difficult to achieve accurate modeling and stable control, a robust adaptive controller is proposed by utilizing exact linearization and radical basis function (RBF) neural network (RBFNN) system. This controller does not need the complete structure and parameters of PEMFC system. The unmodeled dynamics of PEMFC system can be approximated by RBFNN in which the adaptive learning law can be derived based on Lyapunov theory, and the external disturbance as well as the approximation error of RBFNN can be attenuated through robust control. The stability analysis shows that the system tracking error is uniformly ultimately bounded. Finally, the effectiveness and feasibility of controller are validated by hardware-in-loop (HIL) experiment.

Active Boundary Control of Elastic Cables

1995 ◽  
Author(s):  
Catalin F. Baicu ◽  
Christopher D. Rahn
Keyword(s):  
Boundary Control ◽  
Nonlinear Partial Differential Equations ◽  
Lyapunov Theory ◽  
Structural Elements ◽  
Control Approach ◽  
Out Of Plane ◽  
Boundary Force ◽  
Active Vibration ◽  
Natural Boundary Conditions ◽  
Modal Dynamics

Abstract Cables are lightweight structural elements used in a variety of engineering applications. This paper introduces an active boundary control approach that damps undesirable vibrations in a cable. Using Hamilton’s principle, the governing nonlinear partial differential equations for an elastic cable are derived, including the natural boundary conditions associated with boundary force control. Based on Lyapunov theory, passive and active vibration controllers are developed. A Galerkin approach generates the linearized, closed loop, modal dynamics equations for out-of-plane vibration. Simulations demonstrate the improved damping provided by the passive and active controllers.

Robust Adaptive Synchronization of Chaotic Systems With Nonsymmetric Input Saturation Constraints

2017 ◽  
Vol 13 (1) ◽  
Author(s):  
Samaneh Mohammadpour ◽  
Tahereh Binazadeh
Keyword(s):  
Chaotic Systems ◽  
Sliding Mode ◽  
Input Saturation ◽  
Adaptive Synchronization ◽  
Adaptive Sliding Mode Controller ◽  
Robust Synchronization ◽  
Effective Performance ◽  
Saturation Constraints ◽  
Robust Adaptive ◽  
Input Saturation Constraints

This paper considers the robust synchronization of chaotic systems in the presence of nonsymmetric input saturation constraints. The synchronization happens between two nonlinear master and slave systems in the face of model uncertainties and external disturbances. A new adaptive sliding mode controller is designed in a way that the robust synchronization occurs. In this regard, a theorem is proposed, and according to the Lyapunov approach the adaptation laws are derived, and it is proved that the synchronization error converges to zero despite of the uncertain terms in master and slave systems and nonsymmetric input saturation constraints. Finally, the proposed method is applied on chaotic gyro systems to show its applicability. Computer simulations verify the theoretical results and also show the effective performance of the proposed controller.

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