一类非线性多时滞系统的干扰解耦控制

考虑了一类MIMO非线性多时滞系统的干扰解耦控制问题.在一定条件下,通过构造非线性状态反馈控制规律,确保闭环系统的输出不受干扰影响而且是时滞无关的.基于微分几何理论,给出该状态反馈控制规律存在的充分必要条件.仿真验证了所得结果的有效性.     

一类线性时延系统的稳定干扰解耦问题研究

研究了一类线性时延系统的干扰解耦问题 (DDP) ,通过引入系统对输入和干扰的相对阶概念 ,得到了DDP可解的充要条件 ;进一步研究了此类系统的稳定干扰解耦问题 (DDPS) ,基于零动态的概念提出了DDPS可解的充分条件 ;最后用仿真算例来验证有效性     

一类组合非线性系统的局部干扰解耦*

本文考虑一类组合非线性系统的局部干扰解耦问题，给出了其可解的充要条件，并用两个例子说明方法的可用性。     

关于非线性系统带稳定性的局部干扰解耦

非线性带稳定性的干扰解耦问题(DDPS)近年来备受人们的注意,并获得了一些成果(参阅[2,3,4,5,6])。本文的主要贡献是,在更一般的情况下(例如,输入-输出个数不同,不要求双曲条件,不要求指数稳定等),给出了一类非线性系统DDPS有解的充要条件。     

一类不确定非线性系统具有扇形非线性输入的鲁棒几乎干扰解耦控制

研究了一类具有不确定非线性输入 ,结构亦不确定的非线性系统的鲁棒几乎干扰解耦问题 .在非线性输入的扇形界及不确定性特性已知的条件下 ,所设计的控制器能保证闭环系统从干扰到输出的L2 增益保持在给定水平上 .     

一类非线性奇异控制系统的块解耦

讨论了在正则状态下反馈作用下，一类非线性奇异控制系统的输入输出块解耦问题，首先给一种算法，然后利用该算法导出系统输入块解耦问题可解的充分必要条件。     

非线性广义时变系统的干扰解耦

讨论了在正则状态反馈作用下,一类非线性广义时变系统的干扰解耦问题.首先,提出了一种新的解耦算法;然后,基于该算法,对系统的干扰解耦问题进行了研究,推导出该问题可解的充分必要条件,并且构造出反馈控制律;最后,举例说明了该方法的可行性.     

2-D系统的干扰解耦

本文讨论了２－Ｄ系统的干扰解耦问题（ＤＤＰ），将１－Ｄ系统理论中的有关结果推广到了２－Ｄ线性离散常系数一般模型（２－ＤＧＭ），得到了问题可解的充分条件和必要条件以及相应的算法。这些结果较好地改进了现有结果。     

稳定非线性解耦控制的实现

此文提出了一个构造性非线性解耦状态反馈结构,并用它研究稳定非线性解耦控制问题.定义了可控子固定动态的概念,并证明两类可控子固定动态当其不稳定时,可用动态状态反馈消除,最后分析了一个例子.     

2－D系统的干扰解耦

本文讨论了２－Ｄ系统的干扰解耦问题（ＤＤＰ），将１－Ｄ系统理论中的有关结果推广到了２－Ｄ线性离散常系数一般模型（２－ＤＧＭ），得到了问题可解的充分条件和必要条件以及相应的算法．这些结果较好地改进了现有结果     

Disturbance decoupling for a class of nonlinear MIMO systems by static measurement feedback

In this paper, the disturbance decoupling problem for a square-invertible nonlinear system is stated and solved by static feedback of measured variables only, in contrast with standard solutions which assume that the full state is available for feedback. The results are valid for left-invertible systems as well.     

Static disturbance‐to‐output decoupling for nonlinear systems with arbitrary disturbance relative degree

Static disturbance‐to‐output decoupling problem for nonlinear systems with arbitrary disturbance relative degree is addressed in this paper without resorting to a high‐gain design. A systematic design method is developed for the design of the disturbance compensation gain in the control law. It is shown that the influence of the disturbance can be eliminated from the output channel in steady state with the proposed design method. More interesting, the exact disturbance decoupling methods turn out to be special cases of the proposed control law. The feasibility of extending the proposed method to unmeasurable disturbance case is also investigated by integrating a nonlinear disturbance observer. It is further discussed that the proposed method can be extended to multiple disturbance cases with almost no modification. Simulation example of a missile shows that the proposed method is effective in rejecting disturbance with arbitrary relative degree. Copyright © 2011 John Wiley & Sons, Ltd.     

Disturbance decoupling for time delay systems

In this paper the disturbance decoupling problem associated with a class of linear and nonlinear time delay systems is considered. The solution to this problem is given in terms of the relative degrees associated with the input and the disturbance of the corresponding time delay systems. A stability study using some results due to Pontryagin is presented for the resultant closed-loop system when the delay system is linear. Also, an approximate causal solution is proposed for the nonlinear time delay system based on its linearization around an equilibrium point. © 1997 by John Wiley & Sons, Ltd.     

基于未建模动态补偿的一类MIMO非线性系统的自适应广义预测解耦切换控制

针对一类不确定的多输入多输出(MIMO)离散时间零动态不稳定非线性系统, 提出了一种基于未建模动态补偿的非线性广义预测解耦切换控制方法. 该控制方法要求系统的未建模动态满足线性增长条件, 放宽了未建模动态全局有界的限制. 建立了所提的自适应控制方法的稳定性和收敛性分析. 而且, 在设计广义预测解耦控制器时, 把“一一映射”与ANFIS的训练相结合来估计系统的未建模动态, 保证了ANFIS的万能逼近特性. 最后, 仿真结果验 证了所提方法的优越性.     

一类非线性切换系统输出与扰动的解耦

研究了一类单输入单输出非线性切换系统输出与扰动的完全解耦的可解性问题,提出了此类非线性切换系统输出与扰动的完全解耦的充要条件,并进一步给出了干扰可测并且能够用于反馈控制律的设计的情况下系统输出与扰动的完全解耦的条件.最后给出了仿真实例说明了本文结果的有效性.     

Robust tracking control for a class of MIMO nonlinear systems with measurable output feedback

This paper proposes a robust output feedback controller for a class of nonlinear systems to track a desired trajectory. Our main goal is to ensure the global input-to-state stability (ISS) property of the tracking error nonlinear dynamics with respect to the unknown structural system uncertainties and external disturbances. Our approach consists of constructing a nonlinear observer to reconstruct the unavailable states, and then designing a discontinuous controller using a back-stepping like design procedure to ensure the ISS property. The observer design is realized through state transformation and there is only one parameter to be determined. Through solving a Hamilton–Jacoby inequality, the nonlinear control law for the first subsystem specifies a nonlinear switching surface. By virtue of nonlinear control for the first subsystem, the resulting sliding manifold in the sliding phase possesses the desired ISS property and to certain extent the optimality. Associated with the new switching surface, the sliding mode control is applied to the second subsystem to accomplish the tracking task. As a result, the tracking error is bounded and the ISS property of the whole system can be ensured while the internal stability is also achieved. Finally, an example is presented to show the effectiveness of the proposed scheme. Copyright © 2007 John Wiley & Sons, Ltd.     

一类非线性系统的次优控制研究

考虑一类关系度不确定且零动态稳定的非线性系统的控制器设计问题．利用预测控制概念,通过选用较为全面的二次型性能指标,对输出进行高阶泰勒级数展开,推导出一种非切换的解析次优控制律,进而得出了在该控制律下闭环系统局部稳定的充分条件．仿真例子验证了该控制算法具有较好的动态性能,与已有的近似线性化方法相比,显示了该控制策略的优越性．     

Almost disturbance decoupling for a class of nonlinear systems via sampled‐data output feedback control

This paper addresses the problem of almost disturbance decoupling (ADD) using sampled‐data output feedback control for a class of continuous‐time nonlinear systems. Under a lower‐triangular linear growth condition, a sampled‐data output feedback controller is constructed based on the output feedback domination approach, and a Gronwall–Bellman‐like inequality is established in the presence of disturbances. Even though a sampled‐data controller is employed for easy computer implementation, the proposed controller is still able to achieve ADD under the commonly used continuous‐time requirement, that is, the disturbances' effect on the output is attenuated to an arbitrary degree of accuracy in the L₂ gain sense. Copyright © 2015 John Wiley & Sons, Ltd.