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1.
本文研究多输入多输出非线性最小相位系统的光滑调节问题,得到的主要结论是:对合的在原点具有相对阶的局部双曲最小相位系统能渐近跟踪满足某种有界条件的局部Lyapunov稳定的信号.一类具有一致相对阶的全局指数稳定的最小相位系统,若满足某种类似的Lipschitz条件,则能渐近跟踪一类很广泛的信号,既可以是Poisson稳定的,也可以是无界的.  相似文献   

2.
经输出动态反馈的非线性奇异系统输出调节问题   总被引:3,自引:2,他引:1       下载免费PDF全文
讨论非线性奇异系统的输出调节问题,在没有可正常化的假设条件下,给出了降阶的正常状态空间的输出动态反馈控制器的设计,并导出了这种控制器存在的充分必要条件.  相似文献   

3.
非线性系统输出调节问题可解的充要条件是存在一个中心流形满足某个非线性偏微分方程。本文用多层前向神经网络求解该非线性偏微分方程,从而逼近非线性系统的中心流形。在此基础上,构造状态反馈控制律,实现非线性系统的输出调节。  相似文献   

4.
研究一类包含未知非线性项的非线性系统的鲁棒输出调节问题.此类非线性系统由一包含未知参数的线性中性稳定的外系统驱动.首先运用调节器方程组解和标准内模将输出调节问题转化为镇定问题;然后给出控制律镇定闭环系统,同时利用镇定输入项和外系统信息设计出自适应内模方程.控制律使得闭环系统的信号全局最终有界,且误差被调节至预先设定的任意小的精度值.仿真结果验证了所提出设计方法的有效性.  相似文献   

5.
梁磊  闫雪华  田璞 《控制理论与应用》2024,41(11):2053-2060
本文通过光滑输出反馈研究了一类具有不可测状态依赖增长的不确定平面非线性系统的全局自适应调节问题.本文的新颖之处主要在于考虑了未知增长率包含输出的多项式函数和只有下界已知的未知控制系数.受相关工作的启发,笔者利用通用控制思想和反推技术,提出了一种非辨识输出反馈控制方案.为了处理系统不确定性,本文引入了具有两个高增益的观测器,且两个动态高增益以新的形式在线调节.同时,引入了一种合适的估计律,克服了控制系数上界未知的困难.所设计的光滑控制器可以同时实现非线性系统状态的全局调节和闭环系统的全局有界.通过一个实例验证了该方法的有效性.  相似文献   

6.
本文用中心流形理论^[7]及动力系统方法^[8],考虑了一般非线性系统的输出调节问题,在弱于Isidori和Byrnes^[6]的条件下,得到了这问题可解的充分必要条件。  相似文献   

7.
对于确定性的和受到结构扰动的非线性系统,用变结构控制设计的控制律能够满足到达条件,构造的切换面能产生稳定的滑动模态。当非线性系统在切换面上运动时,可以实现输出调节和鲁棒输出调节。  相似文献   

8.
非线性控制系统的全局输出调节   总被引:5,自引:1,他引:4       下载免费PDF全文
佘焱  张嗣瀛 《自动化学报》1999,25(2):184-190
讨论了非线性控制系统的全局输出调节.首先推广精确线性化方法,通过状态反馈和微分同胚将非线性系统的全局输出调节问题,转化为线性系统对非线性系统的跟踪问题.通过提出可解性的概念,得到线性系统对非线性系统全局跟踪的条件,该结果是线性系统结果的推广.在反馈同胚变换全局成立条件下,得到非线性控制系统全局输出调节问题的充分条件,该条件对外部系统只做较弱的可解性假设,在反馈同胚变换局部成立的条件下,可得局部结果.  相似文献   

9.
研究了离散时间非线性最小相位系统的动态输出反馈镇定.首先对离散时间非线性系统引入了逼近渐近稳定性的概念.基于此概念,提出了一种动态补偿器设计的新方法.主要结果是,如果一非线性系统的零动态是逼近渐近稳定的,则能用动态输出反馈镇定.动态补偿器的设计是构造性的.  相似文献   

10.
基于奇异摄动的时标分解理论和动态逆设计的方法,研究了一类非仿射非线性系统的输出调节问题.通过将控制律定义为一个快动态系统的解,得到了指数稳定的误差系统状态方程,从而实现了原系统的输出相对于外系统的参考信号具有零误差的跟踪效果.结果表明在满足标准假设和一组偏微分方程有解的前提下,该输出调节问题是可解的.仿真实例表明了该理论方法的有效性.  相似文献   

11.
非最小相位系统是指包含不稳定零动态的系统.经典的跟踪控制理论,特别是非线性系统跟踪控制理论,是以最小相位系统为基础建立的,不能直接用于非最小相位系统.研究非最小相位系统跟踪控制理论,是对经典控制理论的扩展和补充,具有重要的意义.本文对目前非最小相位系统跟踪控制领域取得的成果进行综述.首先梳理各种非最小相位系统跟踪控制方法的基本思想,并按照近似跟踪和精确跟踪进行归类,建立非最小相位系统跟踪控制的基本框架.然后围绕该框架对各种方法进行详细介绍.接着讨论非最小相位系统的跟踪性能限制.最后总结现有研究存在的一些问题及对今后的发展方向进行展望.本文的目的在于使控制工作者对非最小相位系统的跟踪控制有一个较为清晰的认识.  相似文献   

12.
    
We consider the problem of asymptotic rejection of exogenous harmonic inputs having unknown amplitudes, phases, and frequencies on the output for a class of uncertain and nonminimum‐phase linear systems. Special emphasis is given to the case in which the controlled system has multiple zeros at the origin. It is shown how the method recently proposed to design internal models by means of regression arguments, combined with control strategies based on the redesign of the zero dynamics of the system through redefinition of the output, can be successfully used to solve the problem in presence of plant parameter uncertainties.Copyright © 2012 John Wiley & Sons, Ltd.  相似文献   

13.
    
The problem of global asymptotic tracking by output feedback is studied for a class of nonminimum‐phase nonlinear systems in output feedback form. It is proved that the problem is solvable by an n‐dimensional output feedback controller under the two conditions: (a) the nonminimum‐phase nonlinear system can be rendered minimum‐phase by a virtual output; and (b) the internal dynamics of the nonlinear system driven by a desired signal and its derivatives has a bounded solution trajectory. With the help of a new coordinate transformation, a constructive method is presented for the design of a dynamic output tracking controller. An example is given to validate the proposed output feedback tracking control scheme.  相似文献   

14.
    
This paper aims to propose an additive‐state‐decomposition‐based tracking control framework, based on which the output feedback tracking problem is solved for a class of nonminimum phase systems with measurable nonlinearities and unknown disturbances. This framework is to ‘additively’ decompose the output feedback tracking problem into two more tractable problems, namely an output feedback tracking problem for a linear time invariant system and a state feedback stabilization problem for a nonlinear system. Then, one can design a controller for each problem respectively using existing methods, and these two designed controllers are combined together to achieve the original control goal. The main contribution of the paper lies on the introduction of an additive state decomposition scheme and its implementation to mitigate the design difficulty of the output feedback tracking control problem for nonminimum phase nonlinear systems. To demonstrate the effectiveness, an illustrative example is given. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

15.
    
The problem of global stabilization by output feedback is investigated in this paper for a class of nonminimum‐phase nonlinear systems. The system under consideration has a cascade configuration that consists of a driven system known as the inverse dynamics and a driving system. It is proved that although the zero dynamics may be unstable, there is an output feedback controller, globally stabilizing the nonminimum‐phase system if both driven and driving systems have a lower‐triangular form and satisfy a Lipschitz‐like condition, and the inverse dynamics satisfy a stronger version of input‐to‐state stabilizability condition. A design procedure is provided for the construction of an n‐dimensional dynamic output feedback compensator. Examples and simulations are also given to validate the effectiveness of the proposed output feedback controller. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

16.
研究线性时不变、多变量、离散系统对随机信号的跟踪性能极限问题, 所考虑的随机参考输入信号为布朗运动序列. 研究结果表明此类系统的跟 踪性能极限完全由被控对象的结构特征和参考输入的统计特征决定, 其中, 结构特征指被控对象的非最小相位零点和不稳定极点的位置和方向. 作为特殊情形, 本文给出了参考输入为一致随机信号以及被控对象仅含有单个非最小相位零点和单个不稳定极点时系统跟踪性能极限问题的解. 最后, 给出了两自由度补偿器跟踪系统对随机信号的跟踪性能极限.  相似文献   

17.
    
We consider the design of a robust continuous sliding mode controller for the output regulation of a class of minimum‐phase nonlinear systems. Previous work has shown how to do this by incorporating a linear servocompensator in the sliding mode design, but the transient performance is degraded when compared to ideal sliding mode control. Extending previous ideas from the design of ‘conditional integrators’ for the case of asymptotically constant references and disturbances, we design the servocompensator as a conditional one that provides servocompensation only inside the boundary layer; achieving asymptotic output regulation, but with improved transient performance. We give both regional as well as semi‐global results for error convergence, and show that the controller can be tuned to recover the performance of an ideal sliding mode control. Copyright © 2005 John Wiley & Sons, Ltd.  相似文献   

18.
    
The problem of global robust stabilization is studied by both continuous‐time and sampled‐data output feedback for a family of nonminimum‐phase nonlinear systems with uncertainty. The uncertain nonlinear system considered in this paper has an interconnect structure consisting of a driving system and a possibly unstable zero dynamics with uncertainty, ie, the uncertain driven system. Under a linear growth condition on the uncertain zero dynamics and a Lipschitz condition on the driving system, we show that it is possible to globally robustly stabilize the family of uncertain nonminimum‐phase systems by a single continuous‐time or a sampled‐data output feedback controller. The sampled‐data output feedback controller is designed by using the emulated versions of a continuous‐time observer and a state feedback controller, ie, by holding the input/output signals constant over each sampling interval. The design of either continuous‐time or sampled‐data output compensator uses only the information of the nominal system of the uncertain controlled plant. In the case of sampled‐data control, global robust stability of the hybrid closed‐loop system with uncertainty is established by means of a feedback domination method together with the robustness of the nominal closed‐loop system if the sampling time is small enough.  相似文献   

19.
This article considers the global robust output regulation problem via output feedback for a class of cascaded nonlinear systems with input-to-state stable inverse dynamics. The system uncertainties depend not only on the measured output but also all the unmeasurable states. By introducing an internal model, the output regulation problem is converted into a stabilisation problem for an appropriately augmented system. The designed dynamic controller could achieve the global asymptotic tracking control for a class of time-varying reference signals for the system output while keeping all other closed-loop signals bounded. It is of interest to note that the developed control approach can be applied to the speed tracking control of the fan speed control system. The simulation results demonstrate its effectiveness.  相似文献   

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