线性时滞系统的记忆与无记忆复合$H^{\infty}$状态反馈控制

对于存在状态时滞的线性时滞系统 ,研究了无记忆与带记忆的复合 $H^{\infty}$ 状态反馈控制器的设计问题 ,通过解相应的线性矩阵不等式求得满足设计要求的状态反馈控制器 ,得到了很好的控制效果 .最后给出一个数字仿真实例说明所得结论的有效性 .     

New type of adaptive control for a class of distributed time-delay systems with adaptation regard to delay parameter

The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to be a constant time-delay, but not known exactly. A design method is proposed for a memory proportional and integral (PI) feedback controller with adaptation to distributed time-delay. The feedback controller with memory simultaneously contains the current state and the past distributed information of the addressed systems. The design for adaptation law to distributed delay is very concise. The controller can be derived by solving a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the design method.     

不确定非线性时滞系统的鲁棒可靠控制

研究一类不确定非线性时滞系统的状态反馈鲁棒可靠控制问题。系统包含状态时滞、控制输入时滞、参数不确定性和未知的非线性扰动。目的是设计线性无记忆状态反馈控制器 ,使得对于任意容许的不确定性以及在一个预先指定的执行器子集合中执行器的失效 ,相应的闭环系统渐近稳定。最后给出一个数值例子验证了所给结果的有效性     

时延网络控制系统的区域极点配置设计

针对存在时变有界时延的网络控制系统,在一定假设条件下,基于分离原理讨论了状态观测器和状态反馈控制器的设计方法。状态观测器通过在开环预测和闭环预测间切换以补偿时延的影响,同时考虑时延的时变性以及回路中长时延的存在,闭环预测也是在多个模型间切换,从而将状态观测器建模成具有多个子系统的离散切换系统。在此基础上,利用预测状态作为控制器的输入,设计了具有圆盘区域极点约束的状态反馈控制器。最后以线性矩阵不等式可行解的方式分别给出了控制器和观测器的构造方法,仿真结果说明了所提出方法的有效性。     

飞行器最优时滞反馈控制器设计

在设计飞行器最优反馈控制时,针对系统具有控制时滞的特性,采用连续状态变换思想,将具有时滞的控制系统转化为无时滞的控制系统,求使得无时滞控制系统性能指标最小的解,利用这个解去求原系统的状态函数,进而得到时滞反馈控制与状态变换后最优控制之间的关系,求出最优时滞反馈控制的增益。对某型无人直升机实验所得的悬停数据进行仿真验证,仿真结果证明了所提方法的有效性。     

Robust H∞ control for networked control systems

The robust H∞ control for networked control systems with both stochastic network-induced delay and data packet dropout is studied.When data are transmitted over network,the stochastic data packet dropout process can be described by a two-state Markov chain.The networked control systems with stochastic network-induced delay and data packet dropout are modeled as a discrete time Markov jump linear system with two operation modes.The sufficient condition of robust H∞ control for networked control systems stabilized by state feedback controller is presented in terms of linear matrix inequality.The state feedback controller can be constructed via the solution of a set of linear matrix inequalities.An example is given to verify the effectiveness of the method proposed.     

高阶非线性时滞系统的神经网络动态面控制

针对一类具有未知时变时滞的不确定高阶非线性系统,基于增加幂次积分方法,提出了一种非光滑状态反馈自适应神经网络动态面控制设计方案。通过构造适当的Lyapunov Krasovskii泛函处理了未知时变时滞不确定项;通过利用神经网络权值范数的适当形式幂次函数,将神经网络用于对在单步递推中所构造的未知函数进行建模;采用动态面技术,解决了“微分爆炸”问题。所提控制方案能够保证闭环控制系统的状态量和跟踪误差半全局一致终结有界。最后,仿真算例结果表明了该方案的有效性。     

Robust H∞ control for networked control systems

The robust H∞ control for networked control systems with both stochastic network-induced delay and data packet dropout is studied. When data are transmitted over network, the stochastic data packet dropout process can be described by a two-state Markov chain. The networked control systems with stochastic network-induced delay and data packet dropout are modeled as a discrete time Markov jump linear system with two operation modes. The sufficient condition of robust H∞ control for networked control systems stabilized by state feedback controller is presented in terms of linear matrix inequality. The state feedback controller can be constructed via the solution of a set of linear matrix inequalities. An example is given to verify the effectiveness of the method proposed.     

无线网络控制系统建模与鲁棒控制分析

针对无线网络控制系统(wireless networked control system,WINCS)中长网络诱导时延对系统稳定性的影响,通过将不确定时延等效为系统参数的不确定性,建立了长时延WINCS的参数不确定离散时间系统模型。在该模型基础上,利用Lyapunov函数方法,获得闭环WINCS渐近稳定的充分条件。通过线性矩阵不等式形式,给出了WINCS状态反馈控制器的参数化设计方法。最后通过数值仿真验证了建模与控制方法的有效性。     

Adaptive stabilization for cascade nonlinear systems

An adaptive controller of full state feedback for certain cascade nonlinear systems achieving input-to-state stability with respect to unknown bounded disturbance is designed using backstepping and control Lyapunov function (CLF) techniques. We show that unknown bounded disturbance can be estimated by update laws, which requires less information on unknown disturbance, as a part of stabilizing control. The design method achieves the desired property: global robust stability. Our contribution is illustrated with the example of a disturbed pendulum.     

State feedback control of network-based systems with packet disordering

A new method that stabilizes network-based systems with both bounded delay and packet disordering is discussed under the state feedback controller. A novel model, fully describing the dynamic characteristic of network-based systems with packet disordering, is constructed. Different from the existing models of network-based systems, the number of delay items is time-varying in the model proposed. Further, this model is converted into a parameter-uncertain discrete-time system with time-varying delay item numbers in terms of matrix theory. Moreover, the less conservative stability condition is obtained by avoiding utilisation of Moon et al.’ inequality and bounding inequalities for quadratic functional terms. By solving a minization problem based on linear matrix inequalities, the state feedback controller is presented. A numerical example is given to illustrate the effectiveness of the proposed method.     

基于遗传算法的模糊延迟反馈控制混沌方法

将模糊控制、遗传算法与专用于混沌的延迟反馈控制相结合，提出了适合于控制混沌的模糊延迟反馈控制方法。它以延迟反馈的思想设计模糊控制器，并利用搜索能力强的遗传算法优化延迟时间和模糊控制器的参数，从而克服了确定控制刚度和延迟时间的困难，使混沌系统控制具有更好的快速性和鲁棒性。并控制了Rssler和Logistic混沌。仿真结果证实了该方法的有效性、快速性和鲁棒性。     

Robust dissipative control for time-delay stochastic jump systems

A robust dissipative control problem for a class of It?-type stochastic systems is discussed with Markovian jumping parameters and time-varying delay. A memoryless state feedback dissipative controller is developed based on Lyapunov-Krasovskii functional approach such that the closed-loop system is robustly stochastically stable and weakly delay-dependent (RSSWDD) and strictly (Q, S, R)-dissipative. The sufficient condition on the existence of state feedback dissipative controller is presented by linear matrix inequality (LMI). And the desired controller can be concluded as solving a set of LMI. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.     

时滞大系统的模型参考鲁棒自适应分散控制

基于Lyapunov-Krasovskii (L-K) 泛函方法,结合线性矩阵不等式（linear matrix inequality, LMI）技术以及自适应控制方法,研究了一类不确定时变时滞大系统的模型参考跟踪控制问题,提出了一种鲁棒自适应分散控制器设计方法。时滞无关的控制器设计无需模型参考跟踪控制中苛刻的模型匹配条件且局部状态反馈增益以LMI 形式给出,便于计算机求解和参数优化。为避免控制过程中的自适应参数持续增长问题,提出了死区自适应算法。最后以仿真实例表明了所提方法的正确性与有效性。     

主从FitzHugh-Nagumo神经元的鲁棒输出同步控制

籽内模理论应用于混沌吸尹／子的同步控制，针对电耦合FitzHugh-Nagumo神经元中存在未知的参数和不确定的异质扰动，引入内模并设计合适的状态反馈控制器保证了主从系统的鲁棒输出同步的半局Lyapunov渐进稳定性，有效克服了系统不确定异质干扰的影响；仿真结果验证了所提控制方法的有效性。     

具有时变时延和丢包的网络控制系统H∞优化控制

研究了一类存在时变时延和丢包的网络控制系统(networked control systems, NCS )的H∞优化控制问题。当网络时延和连续丢包有界时,NCS被建模为等效的具有时变时滞的系统,利用Lvapunov Krasovskii泛函和线性矩阵不等式方法,在NCS渐近稳定的基础上给出NCS状态反馈次优和最优H∞控制律的设计方法,求解时不需要使用重复迭代,设计控制器时也无须知道调节参数。仿真表明了此方法的可行性和有效性。     

变采样周期网络控制系统的非脆弱保性能控制

研究了一类具有随机时延和控制器增益扰动的非线性网络控制系统的非脆弱保性能控制问题。基于变采样周期的方法,将网络控制系统建模为非线性Markov跳变系统。利用Lyapunov稳定性理论,给出了保证整个闭环系统均方随机渐近稳定的充分条件。通过线性矩阵不等式的方法,设计了一种非脆弱状态反馈控制器,在该控制器的作用下,闭环系统的能量函数值不超过一个规定的上界。仿真算例说明了所提方法的有效性。     

Adaptive Stabilization for a Class of Feedforward Systems with Zero-Dynamics

This paper investigates adaptive state feedback stabilization for a class of feedforward nonlinear systems with zero-dynamics,unknown linear growth rate and control coefficient.For design convenience,the state transformation is first introduced and the new system is obtained.Then,the estimation law is constructed for the unknown control coefficient,and the state feedback controller is proposed with a gain updated on-hne.By appropriate choice of the estimation law for the control coefficient and the dynamic gain,the states of the closed-loop system are globally bounded,and the state of the original system converges to zero.Finally,a simulation example is given to illustrate the correctness of the theoretical results.     

基于观测器的丢包网络控制系统控制器设计

针对网络控制系统的数据包丢失(丢包)问题,提出将网络控制系统中的丢包问题看成是被控对象输入矩阵的切换问题和控制器对象输入矩阵的分别切换问题,进而将网络控制系统看成是由矩阵切换决定的切换律未知的切换系统,将丢包等效为切换系统中子系统之间的切换。采用李雅普诺夫函数方法,对每个由矩阵形式决定的子系统设计了基于观测器的状态反馈控制器。利用线性矩阵不等式(linear matrix inequalities,LMI)的可行解给出了计算状态观测器和控制器的参数化方法。最后通过仿真算例验证了该方法的有效性。