未知输出反馈非线性时滞系统自适应神经网络跟踪控制

An adaptive output feedback neural network tracking controller is designed for a class of unknown output feedback nonlinear time-delay systems by using backstepping technique. Neural networks are used to approximate unknown time-delay functions. Delay-dependent filters are introduced for state estimation. The domination method is used to deal with the smooth time-delay basis functions. The adaptive bounding technique is employed to estimate the upper bound of the neural network reconstruction error. Based on Lyapunov-Krasoviskii functional, the semi-global uniform ultimate boundedness (SGUUB) of all the signals in the closed-loop system is proved. The arbitrary output tracking accuracy is achieved by tuning the design parameters and the neural node number. The feasibility is investigated by an illustrative simulation example.     

一类非线性不确定性系统基于状态观测器的输出反馈镇定控制设计

The output-feedback stabilization control problem is investigated for a class of nonlinear uncertain systems. Based on the multivariable analog of circle criterion, an observer is designed to estimate the system states and hence the dynamical equations that the estimation error satisfies are derived first. Then, by using integral backstepping approach together with completing square technique, the output-feedback stabilization control is constructively designed such that the closedloop system is asymptotically stable. Finally, an example is given to illustrate the main results of this paper.     

同时镇定一族带有不确定参数的多输入非线性系统

Simultaneous stabilization for a collection of multi-input nonlinear systems with uncertain parameters is dealt with in this paper. A systematic method for obtaining a control Lyapunov function (CLF) is presented by solving the Lyapunov equation. A sufficient condition that a quadratic CLF is a common CLF for these systems is acquired. A continuous state feedback is designed to simultaneously stabilize these systems. Finally, the effectiveness of the proposed scheme is illustrated by a simulation example.     

非线性系统的间接自适应模糊输出反馈监督控制

In this paper, an indirect adaptive fuzzy output feedback controller with supervisory mode for a class of unknown nonlinear systems is developed. The proposed approach does not need the availability of the state variables, moreover, a supervisory controller is appended to the adaptive fuzzy controller to force the state to be within the constraint set. Therefore, if the adaptive fuzzy controller cannot maintain the stability, the supervisory controller starts to work to guarantee stability. On the other hand, if the adaptive fuzzy controller works well, the supervisory controller will be deactivated. The overall adaptive fuzzy control scheme guarantees the stability of the whole closed-loop systems. The simulation results confirm the effectiveness of the proposed method.     

一类非仿射非线性时滞系统的动态状态反馈镇定

本文讨论了一类非仿射非线性时滞系统的全局镇定问题.通过引入辅助积分系统和构造合适的LyapunovKrosovskii泛函,提出了一种基于反推法的时滞无关动态状态反馈控制器,所提控制方法无需时滞的任何先验知识.利用Lyapunov稳定性理论证明了该控制策略能够保证非仿射时滞系统状态渐近收敛于原点,且所有闭环信号全局有界.一个仿真实例进一步验证了所得控制方案的可行性与有效性.     

非线性时滞系统输出反馈镇定

该文首次研究了一类非线性时滞系统的镇定问题.用Backstepping技术,给出了输出反馈控制器的构造性设计方法.     

一类高阶随机非线性系统的状态反馈镇定

针对一类既不可反馈线性化也不仿射于控制输入的高阶随机非线性系统,研究其状态反馈镇定问题.利用齐次占优和反推技术,所设计的状态反馈控制器使得整个闭环系统在[0,+∞)上几乎处处有唯一解,并使得闭环系统的平衡点是依概率全局渐近稳定的.主要贡献是完全取消了高阶系统的阶次限制,得到了新的结果.最后通过数值仿真验证了所提出控制方案的有效性.     

基于状态反馈的一类非线性系统动态输出反馈镇定

针对一类具有线性不可测量状态的非线性系统,基于状态反馈稳定控制器,利用不变流形和滑模变结构控制技术设计了动态输出反馈镇定控制器.这类控制器的结构类似于系统的状态反馈稳定控制器,在较简单的假定条件下,能够保证被控系统的状态得到渐近镇定.仿真算例表明该动态输出反馈控制器具有较强的镇定能力.     

一类上三角随机非线性系统的状态反馈镇定

针对一类具有上三角结构的随机非线性系统,研究其状态反馈镇定问题.通过引入有效的坐标变换,将所要研究的系统转化为一个具有可调增益的等价系统;然后利用低增益齐次占优技术,通过巧妙地选取低增益参数,使得整个闭环系统达到依概率全局渐近稳定.主要贡献是,将低增益齐次占优技术推广到了随机系统,并解决了一类上三角随机系统的镇定问题.数值仿真验证了所提出控制方案的有效性.     

一类高阶次随机非线性系统的状态反馈镇定

针对一类高阶次随机非线性系统,研究其状态反馈镇定问题.基于最近发展起来的增加幂次积分器技术,通过适当地选取Lyapunov函数和设计参数,给出了一个光滑的状态反馈反推控制器的设计过程,所设计的控制器保证了闭环系统在原点处的平衡点是概率意义下全局渐近稳定的.     

Adaptive Neural Tracking Control for Unknown Output Feedback Nonlinear Time-delay Systems

An adaptive output feedback neural network tracking controller is designed for a class of unknown output feedback nonlinear time-delay systems by using backstepping technique.Neural networks are used to approximate unknown time-delay functions.Delay-dependent filters are intro- duced for state estimation.The domination method is used to deal with the smooth time-delay basis functions.The adaptive bounding technique is employed to estimate the upper bound of the neural network reconstruction error.Based on Lyapunov-Krasoviskii functional,the semi-global uniform ultimate boundedness(SGUUB)of all the signals in the closed-loop system is proved.The arbitrary output tracking accuracy is achieved by tuning the design parameters and the neural node number. The feasibility is investigated by an illustrative simulation example.     

具有输入时滞的随机前馈非线性系统的状态反馈镇定

针对一类具有输入时滞的随机前馈非线性系统, 首次研究了它的状态反馈镇定问题. 首先引入一个变量变换, 将其与齐次占优方法巧妙结合, 通过构造合适的 Lyapunov-Krasovskii 泛函, 设计了一个状态反馈控制器, 使得闭环系统的平衡点依概率全局渐近稳定.     

不确定离散时滞系统的状态时滞反馈保性能控制器的设计

对一类同时具有状态时滞和输入时滞的不确定离散时滞系统,提出保性能状态时滞反馈控制律的设计问题。结合一个二次型性能指标,基于Lyapunov函数和线性矩阵不等式处理方法,推出状态时滞反馈保性能控制律存在的条件,并用线性矩阵不等式的可行解给出保性能控制律的构造方法。最后给出一个仿真例子证明该方法的有效性。     

一类二阶非线性系统的有限时间状态反馈镇定方法

针对一类二阶非线性系统的有限时间状态反馈镇定问题进行了讨论. 给出了三种基于连续状态反馈的全局有限时间状态反馈镇定方法. 首先,利用非线性齐次系统性质,设计出一种状态反馈控制器,使得闭环系统渐近稳定并且具有负的齐次度;其次,基于有限时间Lyapunov函数的反步构造法,给出了一种有限时间控制器;最后,利用非奇异终端滑模控制技术,得到了一种使闭环系统有限时间收敛到平衡点的反馈镇定控制器. 仿真结果表明了这些方法的有效性.     

含时滞记忆的非线性时滞系统满意容错控制

针对一类基于T-S模糊模型描述的非线性时滞系统,研究在一般执行器故障模式下的含时滞记忆的鲁棒H∞容错控制器设计问题.针对任意连续型执行器故障模式,采用并行分布式补偿原理设计含记忆型状态反馈控制器,给出非线性时滞系统在执行器发生故障情况下的鲁棒镇定准则.然后给出H∞性能指标约束下的满意容错控制器的设计方法和设计步骤.提出的含时滞记忆的状态反馈控制方法可以确保当执行器发生故障时,闭环系统不仅具有渐近稳定性,而且有一定的抗扰动性能,状态反馈控制器设计的保守性较不含时滞记忆控制器设计方法大大降低.仿真实例验证了鲁棒容错控制策略的有效性.     

一类非齐次高阶非线性系统的连续反馈控制设计

研究了一类非齐次的高阶非线性系统的连续状态反馈控制设计问题. 通过定义一列适当的辅助函数,放宽了对非线性项的约束条件. 利用传统的积分反推技术,并增加一个积分项的方法,得到了这类系统的稳定性,给出了控制器的设计方法,并通过一个例子验证了本文的理论结果.     

State Feedback Control for a Class of Fractional Order Nonlinear Systems

Using the Lyapunov function method, this paper investigates the design of state feedback stabilization controllers for fractional order nonlinear systems in triangular form, and presents a number of new results. First, some new properties of Caputo fractional derivative are presented, and a sufficient condition of asymptotical stability for fractional order nonlinear systems is obtained based on the new properties. Then, by introducing appropriate transformations of coordinates, the problem of controller design is converted into the problem of finding some parameters, which can be certainly obtained by solving the Lyapunov equation and relevant matrix inequalities. Finally, based on the Lyapunov function method, state feedback stabilization controllers making the closed-loop system asymptotically stable are explicitly constructed. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.      

带有界扰动的一类非线性系统的鲁棒控制

对带有界扰动的一类非线性系统进行了状态反馈控制设计. 当状态反馈控制律作用于该系统时, 系统的状态能够收敛到原点的一个小邻域内.