Passivity-based control for Hopfield neural networks using convex representation

This paper considers the problem of passivity-based controller design for Hopfield neural networks. By making use of a convex representation of nonlinearities, a feedback control scheme based on passivity and Lyapunov theory is presented. A criterion for existence of the controller is given in terms of linear matrix inequality (LMI), which can be easily solved by a convex optimization problem. An example and its numerical simulation are given to show the effectiveness of the proposed method.     

Passive Runge–Kutta Methods—Properties, Parametric Representation, and Order Conditions

In this paper, a new class of Runge–Kutta methods is introduced. Some basic properties of this subgroup of algebraically stable methods are presented and a complete parametric representation is given. Necessary and sufficient order conditions for lower order methods as well as sufficient order conditions for higher order methods are derived yielding a significantly reduced number of conditions when compared with general Runge–Kutta methods. Design examples conclude this paper.     

Anodic Behavior of Nickel-Chromium Alloys in Sodium Chloride Solutions: Pitting and Transpassivity

Anodic potentiodynamic and chronoamperometric curves on nickel-chromium alloys (2–50 wt % Cr) are obtained in NaCl solutions at various concentration, pH, and temperature. The dependences of pitting and repassivation potentials on the concentration and temperature are determined for alloy with 20 wt % Cr. The effect of the Cr content and pH on the anodic behavior of the alloys, in particular, the transition from a pitting breakdown of passivity to transpassivation, is shown. Quantitative time dependences of the current in the passive range are obtained and the steady-state values of this current are determined. The corrosion potential of the alloy with 20 wt % Cr is measured. Cathodic voltamograms for passive and chloride-ion-activated surface of the alloy are obtained.     

基于无源性的不确定机器人的力控制

根据无源性理论,从一个较新的角度对机器人系统的力控制问题进行了研究.一个严格无源的动态系统一般具有良好的动态特性和较强的鲁棒性.因此在力控制中采用无源化方法对力控制器进行设计.对于机器人建模的不准确性及环境的影响,本文采用在力控制回路中加入一个补偿项来补偿模型的不确定性.仿真结果表明这种控制方案使系统获得了较好的动态性能和较强的鲁棒性.     

具有时滞的复杂动态网络的无源性

研究了复杂时滞动态网络的无源性.通过构造适当的Lyapunov泛函,得出了两个使得复杂网络无源的充分条件.最后,通过一个具体的例子及其仿真来阐明得到的条件的有效性.     

空间机器人捕获航天器后基于无源性理论的鲁棒镇定控制

研究了漂浮基空间机器人捕获非合作航天器过程对系统产生的冲击效应及其后联合体系统镇定运动的控制问题。为此,利用拉格朗日方法及牛顿-欧拉法分别获得了捕获前空间机器人及目标航天器的动力学模型;结合动量守恒定律、系统运动几何关系及力的传递规律,分析了捕获过程相互碰撞所产生的冲击效应,建立了捕获完成后两者联合体的系统动力学模型。在此基础上,针对同时存在不确定参数及外部扰动的联合体系统,设计了基于无源性理论的镇定运动神经网络H_∞鲁棒控制算法。本文提出的基于无源性理论设计的鲁棒控制算法具有良好的动态特性及较强的鲁棒性,可快速完成系统的镇定控制,实现轨迹的精确跟踪。系统数值模拟仿真验证了本文控制方案的正确性。     

Nonfragile passivity and passification of nonlinear singular networked control systems with randomly occurring controller gain fluctuation

In this article, the nonfragile passivity and passification problems are investigated for a class of nonlinear singular networked control systems (NCSs) with network‐induced time‐varying delay. In particular, the randomly occurring controller gain fluctuation is taken into consideration by introducing the stochastic variable satisfying the Bernoulli random distribution. By constructing proper Lyapunov–Krasovskii function, delay‐dependent sufficient conditions are established to guarantee the passivity of the singular NCSs. Based on the derived results, the nonfragile passification controller is further designed in terms of linear matrix inequalities. Finally, a numerical example is provided to illustrate the applicability and effectiveness of our theoretical results. © 2015 Wiley Periodicals, Inc. Complexity 21: 200–210, 2016     

Controlling and synchronization of a hyperchaotic system based on passive control

In this paper, a new hyperchaotic system is proposed, and the basic properties of this system are analyzed by means of equilibrium point, Poincaré map, bifurcation diagram, and Lyapunov exponents. Based on the passivity theory, the controllers are designed to achieve the new hyperchaotic system globally, asymptotically stabilized at the equilibrium point, and also realize the synchronization between the two hyperchaotic systems under different initial values respectively. Finally, the numerical simulation results show that the proposed control and synchronization schemes are effective.     

Adaptive synchronization of chaos in permanent magnet synchronous motors based on passivity theory

An adaptive synchronization control method is proposed for chaotic permanent magnet synchronous motors based on the property of a passive system. We prove that the controller makes the synchronization error system between the driving and the response systems not only passive but also asymptotically stable. The simulation results show that the proposed method is effective and robust against uncertainties in the systemic parameters.