具有丢包的非线性奇异系统的网络脉冲控制器设计

针对给定的一类非线性奇异系统,设计了基于数据丢包的网络脉冲控制器.首先建立了非线性奇异网络脉冲控制系统的数学模型;然后根据李亚普诺夫稳定性理论,分别考虑系统在连续状态和脉冲时刻的指数稳定性条件,给出了基于数据丢包的网络脉冲控制器的设计方法,使网络脉冲控制器能够保证具有数据丢包的非线性奇异系统实现指数稳定;最后,以洛伦兹混沌系统为例表明了控制器设计方法的正确性.     

参数不确定的网络控制系统控制器设计

针对一类具有不确定参数的被控对象模型,考虑长时延有界及数据丢包的情况,建立网络控制系统闭环模型.在所提模型的基础上,用线性矩阵不等式的形式给出了系统渐近稳定的状态反馈控制器的设计方法.仿真结果验证了本文方法的有效性.     

量化反馈系统的鲁棒预测控制

研究具有丢包的量化反馈系统的鲁棒预测控制器设计问题.所考虑的系统采用对数量化器,并给出了量化密度选择方法;网络中的丢包现象采用Bernoulli过程描述.主要目的是对控制信号进行量化,同时考虑量化后数据在网络传输过程中的丢包问题.设计了基于线性矩阵不等式(LMI)方法的鲁棒预测控制算法求解控制器,使得闭环系统渐近稳定,并满足一定的预测性能指标.最后通过仿真研究验证了所提出方法的有效性.     

存在数据丢包的网络控制系统的控制

将存在数据丢包的网络控制系统描述为跳跃系统。基于一个李雅普诺夫泛函,只需满足4个线性矩阵不等式,便可通过带状态观测的状态反馈控制使闭环系统达到稳定。由于得到的条件不是严格的线性矩阵不等式条件,将不具有严格线性矩阵不等式条件的非凸可行解问题转化为具有严格线性不等式的非线性最小化问题,得到了求解状态反馈控制器增益和状态观测器增益的算法。数值仿真结果验证了该算法的有效性。在所设计的状态反馈控制器的校正作用下,闭环系统的响应是渐近稳定的。     

不确定网络控制系统具有H∞性能界的鲁棒控制

针对闭环网络控制系统,在考虑网络数据传输可能发生丢包的情况下,提出了一类不确定切换系统模型.为了量化网络数据丢失的影响,根据网络特点给出了网络传输数据丢包率的数学定义,进一步研究了此类切换系统在某种程度的数据丢包率影响下具有一定H∞性能界的鲁棒状态反馈控制问题.应用H∞鲁棒控制理论及线性矩阵不等式技术得到了全状态反馈控制器的设计方法,以一组线性矩阵不等式表示其主要结果.最后给出了一个具体的数值示例.     

不确定网络控制系统具有H ∞性能界的鲁棒控制

针对闭环网络控制系统,在考虑网络数据传输可能发生丢包的情况下,提出了一类不确定切换系统模型.为了量化网络数据丢失的影响,根据网络特点给出了网络传输数据丢包率的数学定义,进一步研究了此类切换系统在某种程度的数据丢包率影响下具有一定H∞性能界的鲁棒状态反馈控制问题.应用H∞鲁棒控制理论及线性矩阵不等式技术得到了全状态反馈控制器的设计方法,以一组线性矩阵不等式表示其主要结果.最后给出了一个具体的数值示例.     

一类非线性系统的输出反馈半局鲁棒镇定

从半局镇定角度研究了一类非线性系统的输出反馈镇定问题,这类系统具有较强的非线性增长特征.利用高增益观测器,把非分离设计原则应用于输出反馈半局镇定控制器设计.在不需系统具有一个一致完全可观状态反馈控制器情况下,给出了输出反馈控制器的设计方法.对任意给定紧子集,所设计的反馈控制器使闭环系统是渐近稳定的且吸引域包含指定的紧子集.最后的仿真实例说明了设计方法的有效性.     

一类非线性系统量化反馈控制的几何设计方法

本文考虑了一类非线性系统的对数量化反馈控制器的设计问题.假定该非线性系统满足一定扇形条件, 在此条件下, 通过引入闭环系统函数, 利用函数平移的方法, 给出了文中非线性系统具体的对数量化反馈控制器, 可做到稳定和渐近稳定两种控制目标.所得结论可以推广到线性系统, 与已有的结论相吻合, 说明了我们结论的正确性.同时, 所得结论也可应用于一般非线性系统量化控制器的设计.最后, 数值例子验证了所得结论.     

一类线性网络控制系统鲁棒L1控制

研究一类网络控制系统(NCS)的L1控制问题.针对一类具有时延和丢包的网络控制系统,将其建模为线性时变时延系统,利用Lyapunov稳定性理论和线性矩阵不等式方法建立具有鲁棒L1性能约束的状态反馈控制器.首先给出闭环系统渐近稳定且具有峰—峰值性能约束的充分条件,然后给出网络控制系统状态反馈控制器L1控制率的设计方法,最...     

一类控制系数未知但等同高阶非线性系统的稳定控制设计

本文研究了一类控制系数未知但等同高阶非线性系统的状态反馈稳定控制设计问题. 尽管该类系统具有不确定性, 即控制系数未知,但本文没有采用自适应技术, 而是通过选取适当的设计参数, 从而得到了设计该类非线性系统稳定控制器的新方法, 并基于反推技术, 给出了稳定控制器的设计步骤. 所设计的状态反馈控制器使得闭环系统全局渐近稳定, 并保持在原点的平衡性.     

Impulsive controller design for singular networked control systems with packet dropouts

This paper considers the problem of impulsive time-delay control for singular networked impulsive control systems(SNICSs) and uncertain SNICSs both with network-induced delay and packet dropouts. The parameter uncertainty is assumed to be norm bounded. The problem to be addressed is the design of robust impulsive time-delay feedback controllers such that the exponential stability of the resulting closed-loop system is guaranteed for admissible uncertainties. By applying Lyapunov function theory and Halanay Lemma, impulsive time-delay controller is derived through solving LMIs. Numerical examples are provided to demonstrate the application of the proposed method.     

基于脉冲微分系统模型的有损网络控制系统研究

针对闭环网络控制系统,在考虑网络数据传输可能发生丢包的情况下,提出了一类切换系统模型,并在此基础上导出了一类脉冲微分系统模型.从数学上严格分析了该模型的合理性,并利用驻留时间的概念得到了此系统模型的稳定性条件,进一步研究了能够忍受一定程度的数据丢包的稳定化控制器设计问题.最后给出了一个具体示例.     

Neural networks stabilization and disturbance attenuation for nonlinear switched impulsive systems

In this paper, we address the problem of neural networks (NNs) stabilization and disturbance rejection for a class of nonlinear switched impulsive systems. An adaptive NN feedback control scheme and an impulsive controller for output tracking error disturbance attenuation of nonlinear switched impulsive systems are given under all admissible switched strategy based on NN. The NN is used to compensate for the nonlinear uncertainties of switched impulsive systems, and the approximation error of NN is introduced to the adaptive law in order to improve the tracking attenuation quality of the switched impulsive systems. Impulsive controller is designed to attenuate effect of switching impulse. Under all admissible switching law, impulsive controller and adaptive NN feedback controller can guarantee asymptotic stability of tracking error and improve disturbance attenuation level of tracking error for the overall nonlinear switched impulsive system. Finally, a numerical example is given to demonstrate the effectiveness of the proposed control and stabilization methods.     

Robust Stabilization of Uncertain Networked Control Systems with Data Packet Dropouts

The data packet dropouts phenomenon is usually inevitable when information transmit- ted among communication networks.In this paper,the robust stabilization problem for uncertain networked control systems with data packet dropouts is studied.First,an uncertain discrete-time switching system model is presented to describe these networked control systems.The stability equiv- alence is then proved between this switching system and an uncertain impulsive difference system. Moreover,a sufficient condition is obtained for the asymptotical stability of the nonlinear impulsive difference system.From this condition the robust stabilization problem is dealt with for the uncertain impulsive system.Main results are given in linear matrix inequalities.Finally a numerical example is given to illustrate the theoretical results.     

不确定有损网络控制系统的鲁棒镇定

The data packet dropouts phenomenon is usually inevitable when information transmitted among communication networks. In this paper, the robust stabilization problem for uncertain networked control systems with data packet dropouts is studied. First, an uncertain discrete-time switching system model is presented to describe these networked control systems. The stability equivalence is then proved between this switching system and an uncertain impulsive difference system. Moreover, a sufficient condition is obtained for the asymptotical stability of the nonlinear impulsive difference system. From this condition the robust stabilization problem is dealt with for the uncertain impulsive system. Main results are given in linear matrix inequalities. Finally a numerical example is given to illustrate the theoretical results.     

Optimal singular control for nonlinear semistabilisation

The singular optimal control problem for asymptotic stabilisation has been extensively studied in the literature. In this paper, the optimal singular control problem is extended to address a weaker version of closed-loop stability, namely, semistability, which is of paramount importance for consensus control of network dynamical systems. Three approaches are presented to address the nonlinear semistable singular control problem. Namely, a singular perturbation method is presented to construct a state-feedback singular controller that guarantees closed-loop semistability for nonlinear systems. In this approach, we show that for a non-negative cost-to-go function the minimum cost of a nonlinear semistabilising singular controller is lower than the minimum cost of a singular controller that guarantees asymptotic stability of the closed-loop system. In the second approach, we solve the nonlinear semistable singular control problem by using the cost-to-go function to cancel the singularities in the corresponding Hamilton–Jacobi–Bellman equation. For this case, we show that the minimum value of the singular performance measure is zero. Finally, we provide a framework based on the concepts of state-feedback linearisation and feedback equivalence to solve the singular control problem for semistabilisation of nonlinear dynamical systems. For this approach, we also show that the minimum value of the singular performance measure is zero. Three numerical examples are presented to demonstrate the efficacy of the proposed singular semistabilisation frameworks.     

丢包网络化控制系统非脆弱量化H∞控制

针对非线性网络化控制（NCS）系统中控制器参数存在摄动的问题,考虑传感器—控制器和控制器—执行器均存在随机丢包和量化误差,提出了一种加性非脆弱量化H_∞控制器的设计方法．利用李亚普诺夫稳定性理论和线性矩阵不等式（LMI）方法,将该问题转化为线性矩阵不等式约束和线性目标函数的凸优化问题进行求解,给出了丢包下的非脆弱量化H_∞控制器存在的充分条件．所设计的控制器在容许的参数摄动、丢包概率和量化密度条件下,不仅能保证闭环NCS的稳定性和性能要求,而且是非脆弱的．数值仿真验证了所提方法的有效性．     

具有饱和执行器的时滞广义系统的鲁棒控制

利用李亚普诺夫方法研究了时滞广义系统、不确定广义系统和不确定时滞广义系统的鲁棒镇定问题.首先设计了时滞广义系统的具有饱和执行器的控制律,并给出其闭环系统渐近稳定的充分条件.对不确定项是范数有界的不确定广义系统,给出其控制器的设计方法和闭环系统渐近稳定的充分条件.在此基础上,进一步给出了不确定时滞广义线性系统的镇定条件.最后,给出了一个数值算例来说明方法的有效性.     

Robust H-infinity fuzzy control for uncertainMarkovian jump nonlinear singular systems withwiener process

This paper deals with the problems of robust stochastic stabilization and H-infinity control for Markovian jump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular system. The purpose of the robust stochastic stabilization problem is to design a state feedback fuzzy controller such that the closed-loop fuzzy system is robustly stochastically stable for all admissible uncertainties. In the robust H-infinity control problem, in addition to the stochastic stability requirement, a prescribed performance is required to be achieved. Linear matrix inequality (LMI) sufficient conditions are developed to solve these problems, respectively. The expressions of desired state feedback fuzzy controllers are given. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.