非线性时变系统的自耦PID控制方法

针对一类非线性时变系统的控制问题,使用了一种基于自耦PID的控制理论方法.该方法首先将时变不确定、模型不确定定义为一个扩张状态,并将非线性时变系统映射为未知线性系统;然后使用自耦PID控制方法构造了一个闭环系统;最后在复频域分析了闭环系统的鲁棒稳定性和抗扰动鲁棒性.理论分析与仿真结果都表明了本文控制方法具有良好的动态品质和稳态性能,在未知复杂系统控制领域具有广泛的应用前景.     

切换非线性系统采样控制的研究现状与进展

切换非线性系统由于其广泛的工程应用背景以及重要的理论研究价值引起各行业学者的广泛关注.近年来,随着计算机技术的快速发展,切换非线性系统采样控制问题成为研究热点.对目前切换非线性系统采样控制领域的研究现状进行综述.首先介绍了切换非线性系统的基本问题,并梳理了切换非线性系统几个常用控制方法的基本思想.然后从时间触发采样控制和事件触发采样控制两个方面对切换非线性系统采样控制的国内外研究现状进行了论述.最后进行了总结并提出切换非线性系统采样控制领域未来值得关注的研究方向.     

非线性不确定系统鲁棒镇定的H~∞方法

考虑了仿射非线性不确定系统的鲁棒镇定性。在不确定项为有界结构下将系统化为一个确定的标称系统Ｈ∞问题来考虑，利用非线性系统Ｈ∞控制理论的现有结论讨论系统的鲁棒性。首次将非线性Ｈ∞控制理论方法引入到一般仿射非线性系统的鲁棒性讨论中。最后给出一个例子说明此方法的适用性。     

不确定非线性系统的鲁棒稳定性分析

基于泛函分析和算子理论的方法,从输入输出的角度研究了一类不确定反馈非线性系 统的鲁棒稳定性问题.利用K类函数分别描述非线性不确定环节和非线性系统的算子增益,对 非线性反馈互联不确定系统的鲁棒稳定性问题进行了研究.接着利用小增益条件的形式进行等 价变化,就可将反馈不确定非线性系统的稳定性条件转化成系统非线性算子的范数条件.并通 过举例证明了该方法的有效性.     

电弧炉电极调节系统的鲁棒模型参考自适应控制

研究了电弧炉电极调节系统的鲁棒模型参考自适应控制问题.把三相耦合造成的对系统的影响转化为系统的不确定扰动问题.理论分析和仿真结果表明这种控制方法对于电孤炉电极调节系统这类非线性不确定系统是适用的.     

采用单神经元自适应控制高精度空调系统仿真

暖通空调领域中的被控对象(空调房间)大多具有大滞后、慢时变、非线性特点，且受各种不确定因素影响，经典控制方法难以实现精确控制。该文正是针对上述实际，将具有自学习、自适应功能的神经元控制算法引入高精度空调控制领域，并通过MATLAB仿真，考察了系统的控制效果。仿真结果表明此控制方法具有超调小、抗干扰能力强、控温精度高的优点，从而为空调系统的高精度控制提出了一个新的途径。     

非线性系统鲁棒耗散控制

基于二次型供给率,研究了不确定非线性系统的鲁棒耗散控制问题。不确定项用界范数来刻画。基于Hamilton-Jacobi不等式,得到了实现鲁棒耗散控制的充分条件及控制器的设计算法。     

一类受不确定干扰的非线性系统的输出跟踪设计方法

本文应用非线性系统的部分线性化方法 ,将一类满足一定条件的受不确定干扰的非线性系统的输出跟踪问题转变为一个部分线性化子系统的状态镇定控制问题 ,且同时实现了对不确定干扰的解耦。     

高阶不确定非线性系统线性状态反馈自适应控制设计

研究了一类控制系数未知的高阶不确定非线性系统的自适应镇定控制设计. 尽管该问题已经得到解决,但是所设计的控制器是非线性反馈形式,较为复杂. 与现有文献不同,本文通过综合运用增加幂积分技术和切换自适应控制方法,给出了该控制问题的更为简单且易于实现的新型线性反馈控制器,使得系统状态有界且最终趋于零. 值得指出的是,与切换自适应控制文献相比,本文所研究的非线性系统具有更严重的不确定/未知性和更强的非线性,这主要体现在未知的系统控制系数和更高的系统幂次中.     

非线性未建模不确定系统的自适应控制

讨论了非线性未建模不确定系统的自适应镇定问题。通过边界层次分析的方法，提出一和种简单的间接自适应控制方法。该方法克服了现有非线性自适应控制方法容易产生过渡控制的缺点。     

基于LS-SVM非线性内模控制在焊缝跟踪中的运用

针对单纯的模糊控制器在焊接机器人的焊缝跟踪中的控制精度欠佳、自适应性不强等问题,设计了一种新的用于焊缝跟踪的LS-SVM非线性内模控制器。通过样本数据建立系统固定的LS-SVM逆模型,与系统串联成精确的伪线性系统,对伪线性系统采用鲁棒性强的内模控制。仿真结果表明该方法具有很好的跟踪结果。     

Decentralized global robust stabilization of a class of interconnected minimum-phase nonlinear systems

This paper focuses on a class of large-scale interconnected minimum-phase nonlinear systems with parameter uncertainty and nonlinear interconnections. The uncertain parameters are allowed to be time-varying and enter the systems nonlinearly. The interconnections are bounded by nonlinear functions of states. The problem we address is to design a decentralized robust controller such that the closed-loop large-scale interconnected nonlinear system is globally asymptotically stable for all admissible uncertain parameters and interconnections. It is shown that decentralized global robust stabilization of the system can be achieved using a control law obtained by a recursive design method together with an appropriate Lyapunov function.     

一类不确定非线性大系统的分散鲁棒控制器设计

基于Backstepping方法，设计了一类具有不确定性扰动和不确定性关联项的非线性大系统的分散鲁棒稳定控制器。非线性大系统的关联项为时变有界非线性函数且不确定性扰动以仿射非线性方程的形式引入。为了提高系统的控制效果。将：Backstepping递推设计方法与L2增益控制相结合，所设计的分散鲁棒控制器不仅使每个子系统的状态向量跟踪一个指定的期望轨迹。而且还使系统的不确定性干扰具有L2增益控制。     

Robust global stabilization of a class of uncertain feedforward nonlinear systems

The problem of global asymptotically stabilizing a certain class of uncertain feedforward nonlinear systems is considered. The control law is obtained by nesting saturation functions whose amplitude can be rendered arbitrarily small. With respect to previous works on the subject the design procedure is able to deal with uncertain (possibly time-varying) parameters ranging within the prescribed compact sets which can affect also the linear approximation of the system. The small gain theorem for nonlinear systems which are input to state stable “with restrictions” is shown to be a key tool for designing a state feedback saturated control law.     

Decentralized robust disturbance attenuation for a class of large-scale nonlinear systems

We solve the problem of decentralized H_∞ almost disturbance decoupling for a class of large-scale nonlinear uncertain systems in the absence of matching conditions. The method combines ideas from decentralized adaptive control and centralized nonlinear H_∞ control. We relax earlier assumptions on the uncertain time-varying interconnections which are demanded to be only bounded by general nonlinear functions in this work.     

Adaptive control of a class of discrete-time MIMO nonlinear systems with uncertain couplings

In this article, adaptive control is investigated for a class of discrete-time multi-input-multi-output nonlinear systems in block-triangular form with uncertain couplings of delayed states among subsystems. Future states prediction is carried out to facilitate adaptive control design and auxiliary outputs are introduced to develop a novel compensation mechanism for the uncertain nonlinear couplings. By using Lyapunov method and ordering signals growth rate, it is rigorously proved that all the signals in the whole closed-loop systems are globally bounded and the output tracking errors asymptotically converge to zeros. The effectiveness of the proposed control is demonstrated in the simulation study.     

Adaptive fuzzy dynamic surface control for uncertain nonlinear systems

In this paper, a robust adaptive fuzzy dynamic surface control for a class of uncertain nonlinear systems is proposed. A novel adaptive fuzzy dynamic surface model is built to approximate the uncertain nonlinear functions by only one fuzzy logic system. The approximation capability of this model is proved and the model is implemented to solve the problem that too many approximators are used in the controller design of uncertain nonlinear systems. The shortage of ＂explosion of complexity＂ in backstepping design procedure is overcome by using the proposed dynamic surface control method. It is proved by constructing appropriate Lyapunov candidates that all signals of closed-loop systems are semi-globally uniformly ultimate bounded. Also, this novel controller stabilizes the states of uncertain nonlinear systems faster than the adaptive sliding mode controller （SMC）. Two simulation examples are provided to illustrate the effectiveness of the control approach proposed in this paper.     

Adaptive output feedback control of a class of uncertain nonlinear systems with unknown time delays

This article studies the adaptive output feedback control problem of a class of uncertain nonlinear systems with unknown time delays. The systems considered are dominated by a triangular system without zero dynamics satisfying linear growth in the unmeasurable states. The novelty of this article is that a universal-type adaptive output feedback controller is presented to time-delay systems, which can globally regulate all the states of the uncertain systems without knowing the growth rate. An illustrative example is provided to show the applicability of the developed control strategy.     

基于Backstepping 的非仿射非线性系统鲁棒控制

针对一类不确定非仿射非线性系统的跟踪控制问题, 提出一种鲁棒Backstepping 控制策略. 首先, 为利用仿 射非线性方法设计控制器, 给出一种适用于全局的非仿射非线性近似方法; 然后, 设计快速收敛非线性微分器以估计复合干扰和获取虚拟信号的微分, 进而给出不确定非仿射非线性系统的复合控制器, 其中鲁棒项和阻尼项分别用于减少逼近误差和近似方法中动态误差对系统跟踪的影响; 最后, 通过仿真实验验证了所提出方法的有效性.