Adaptive robust H∞ state feedback control for linear uncertain systems with time‐varying delay

This paper considers the problem of adaptive robust H_∞ state feedback control for linear uncertain systems with time‐varying delay. The uncertainties are assumed to be time varying, unknown, but bounded. A new adaptive robust H_∞ controller is presented, whose gains are updating automatically according to the online estimates of uncertain parameters. By combining an indirect adaptive control method and a linear matrix inequality method, sufficient conditions with less conservativeness than those of the corresponding controller with fixed gains are given to guarantee robust asymptotic stability and H_∞ performance of the closed‐loop systems. A numerical example and its simulation results are given to demonstrate the effectiveness and the benefits of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.     

基于线性矩阵不等式理论的广域电力系统状态反馈控制器设计

应用基于同步相量测量单元的广域测量系统进行广域控制时,反馈信号的传输时延是不能忽略的。作者根据实际电力系统的特点构造了部分状态含时延的状态反馈控制器,应用线性矩阵不等式理论提出了时滞依赖的稳定性条件,根据该条件不仅能得到保证系统稳定的控制器,而且可以得到保证系统稳定的最大允许时间延迟。最后以4机系统为例,用时域仿真的结果说明所得控制器的性能及该方法的有效性。     

广域阻尼控制的时滞影响分析及时滞补偿设计

基于相量测量单元技术的广域测量系统使得电力系统向广域监测与控制的方向发展.在这个过程中,信号传输和处理过程中时滞的影响不容忽视.特征值分析表明,时滞τ的影响可以转化为与角频率ω相关的相位滞后和与衰减因子σ相关的增益放大,从而对闭环系统的区间模式阻尼和系统稳定性产生影响.文中利用相位超前/滞后模块和增益调节模块,构成时滞补偿环节,以消除时滞的影响,保证系统的稳定性.通过等值两机系统上的时域仿真,对不同时滞条件下的区间模式阻尼和补偿效果进行了研究.结果表明,所设计的时滞补偿环节能够在一定时滞范围内有效地维持采用远方反馈信号的阻尼控制效果,具有一定的工程意义.     

Simultaneous time‐varying actuator and sensor fault reconstruction based on PI observer for LPV systems

We consider problems of actuator and sensor fault reconstruction simultaneously for linear parameter varying systems expressed in polytopic forms. By extending the sensor fault as an auxiliary state, a polytopic unknown input proportional‐integral observer in which the actuator fault signals are assumed to be time varying is developed to estimate the system states and the actuator and sensor fault at the same time. The existence conditions of the observer are derived in terms of linear matrix inequalities that can be readily handled via some efficient tools. An example is given to demonstrate the advantages of the proposed method in comparison to the existing results. Copyright © 2014 John Wiley & Sons, Ltd.     

基于在线辨识的电力系统广域阻尼控制

提出了利用多路广域测量信号作为反馈量的新型电力系统广域阻尼控制(WADC)方法。首先,推导了基于改进Prony算法的动态降阶等值系统参数的辨识方法;利用该辨识方法对受控系统进行辨识,在辨识结果的基础上运用线性二次型方法设计WADC的参数。广域闭环控制必须考虑通信延迟的影响,文中利用线性矩阵不等式方法讨论了控制参数在时滞下的稳定性问题。MATLAB数值仿真验证了辨识方法的准确性。WADC的控制效果在36节点的多机系统中得到了仿真验证。结果证明,应用广域信号作为反馈的WADC可以更有效地阻尼区间低频振荡,同时提高了联络线的传送容量极限。     

极点约束鲁棒控制在焊接过程中的应用

针对焊接过程存在一类不确定采样系统,在时域中,利用系统在z平面圆域稳定化方法,研究了采样系统具有极点约束的鲁棒控制问题。通过求解一类具有线性矩阵不等式约束的凸优化问题,给出了采样系统鲁棒控制律存在的一个充要条件以及相应的鲁棒控制律。理论分析和实验结果表明,所得出的鲁棒控制律具有较小的增益;将所得鲁棒控制律应用于焊接过程能克服不确定因素的影响;在相同的实验条件下,可以获得优于PID控制器的控制精确度及效果。     

Sliding mode control of switched hybrid systems with time‐varying delay

This paper is concerned with the sliding mode control of a continuous‐time switched system with time‐varying delay in its state. By using the average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is first proposed to guarantee the exponential stability of the unforced system with the decay estimate explicitly given. A sufficient condition of the existence of a reduced‐order sliding mode dynamics is derived, and an explicit parametrization of the desired sliding surface is also given. The obtained conditions will be solved using the cone complementary linearization (CCL) method. An adaptive sliding mode controller for the reaching motion is then designed such that the trajectories of the resulting closed‐loop system can be driven onto a prescribed sliding surface and maintained there for all subsequent times. All the conditions obtained in this paper are delay dependent. Finally, two numerical examples are given to illustrate the effectiveness of the proposed theory. Copyright © 2008 John Wiley & Sons, Ltd.     

Free‐weighting matrices‐based robust wide‐area FACTS control design with considering signal time delay for stability enhancement of power systems

This paper presents a free‐weighting matrix (FWM) method based on linear control design approach for the wide‐area robust damping (WARD) controller associated with flexible AC transmission system (FACTS) device to improve the dynamical performance of the large‐scale power systems. First, the linearized reduced‐order plant model is established, which efficiently considers the time delay of the remote feedback signals transmitted by wide‐area measurement systems. Then, based on the robust control theory, the design of the FACTS‐WARD controller is formulated as the standard control problem on delay‐dependent state‐feedback robust control, which is described by a set of linear matrix inequality constraints. Furthermore, in order to obtain the optimal control parameters that can endure the maximum time delay, a FWM approach is proposed to solve the time‐dependent problem of the time‐delay system. Meanwhile, an iterative algorithm based on cone complementary linearization is presented to search out the optimal control parameters. Finally, the nonlinear simulations on the 2‐area 4‐machine and the 5‐area 16‐machine test systems are performed, to evaluate the control performance of the proposed robust wide‐area time‐delay control approach. © 2011 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.     

广域时滞电力系统控制器的优化算法及其应用

随着电力系统规模的不断扩大,控制信号在广域环境下产生的时滞现象会对电力系统的稳定运行产生难以忽略的负面影响。基于 Lyapunov稳定性理论,研究在时滞影响下,基于状态反馈的广域电力系统控制器的设计问题。首先,通过构造 Lyapunov-Krasovskii泛函,运用矩阵解析方法,得到了基于非线性的矩阵不等式结构;然后,将不等式中的非线性项做线性化处理,使其转化为隶属于线性矩阵不等式的锥补问题,在迭代求解时,对迭代次数进行了优化,平衡了迭代时间与时滞上界的关系。最后,通过仿真算例验证了所得控制器不仅具有较低的保守性,而且具有较快的响应速度,在工程上有较高的实用性。     

Robust adaptive sliding mode control for uncertain delta operator systems

In this paper, a robust adaptive sliding mode controller is presented for delta operator systems with mismatched uncertainties and exogenous disturbances. The parameters of the delta operator system are taken for norm‐bounded uncertainties. The exogenous disturbance is also assumed to be bounded. After the statement of a sufficient condition for the existence of linear sliding surface based on linear matrix inequality technique, a robust reaching motion control method for delta operator systems is presented. Afterwards, an adaptive sliding mode controller for delta operator systems is designed. A bridge between the robust adaptive sliding mode control and the delta operator system framework is made. Numerical example is given to illustrate the effectiveness of the developed techniques. Copyright © 2009 John Wiley & Sons, Ltd.     

基于广域信号的多目标鲁棒HVDC附加控制器设计

为了利用HVDC抑制并联交流系统的低频振荡,设计了广域多目标鲁棒控制器。选择电力系统广域同步信号作为反馈控制的输入,考虑到电力系统的强非线性和各种扰动,采用H∞鲁棒控制设计方法抑制不确定因素对控制效果的不良作用,并用极点配置方法保证控制器对区域间振荡模式提供足够的阻尼。对于这样一个多目标鲁棒控制问题采用线性矩阵不等式方法进行求解,针对一个四机两区域交直流并联系统设计了直流附加控制器,特征值分析和非线性时域仿真结果均证明设计方法的良好效果。     

考虑时滞影响的电力系统稳定分析和广域控制研究进展

计算机技术、网络技术和通信技术的快速发展及其在电力系统中的广泛应用,使得电力系统的监测、分析和控制方式向着广域化、网络化和智能化方向发展。在此发展过程中,一个不容忽视的问题就是信号传输和处理过程中时滞的影响。文中首先对广域测量系统的时滞特性进行了分析,接着对国内外考虑时滞影响的电力系统建模、稳定分析和广域控制3个方面的最新研究成果进行了综述,指出常规电力系统稳定分析方法与考虑时滞的状态估计方法相结合具有工程实践价值,并认为在电力系统时滞特性的定量分析、信息和电力网络综合建模、考虑时滞的状态估计以及基于时滞电力系统动力模型的稳定控制方面仍需进一步深入研究。最后展望了时滞电力系统稳定分析和广域控制可能的研究方向。     

广域阻尼控制延迟特性分析及其多项式拟合补偿

基于广域测量系统(WAMS)的互联电网区间阻尼控制能够有效抑制区间低频振荡,提高互联系统的传输容量.采用远方反馈信号的广域阻尼控制系统需要解决的工程问题之一是研究数据传输过程中引入的延迟对控制性能的影响及其补偿方法.文中根据我国部分WAMS工程的通信延迟实测数据分析了WAMS延迟的特点,并针对广域阻尼控制设计了基于多项式拟合的预测方法补偿滞后的远方反馈信号.以一个典型的2区域4机系统为例研究了不同延迟条件对阻尼控制的影响和补偿效果.仿真表明:所提出的延迟补偿方法能够在一定延迟范围内有效地维持采用远方反馈信号的广域阻尼控制效果,为其工程应用奠定了基础.     

自适应滑模控制具有状态和输入时滞的不确定系统

针对一类对象模型具有非匹配不确定性,且同时具有状态时滞和输入时滞的线性系统,基于LMI方法,提出了系统存在滑动模态时滞相关的充分条件,考虑到在处理输入时滞时引入了未知扰动,进一步设计了对扰动参数具有自适应估计能力自适应滑模控制器,该方法保证了闭环系统鲁棒渐近稳定。仿真结果进一步证实了该控制策略的可行性。     

基于LMI的时滞电力系统双层广域阻尼控制

针对时滞电力系统提出一种新型建模方法,并且对其进行了广域附加区间阻尼控制的双层控制设计。直接采用时滞系统控制理论克服广域信号的时滞对闭环电力系统稳定性的不良影响。第一层控制,对无时滞电力系统施加计及时滞的输出反馈控制,形成时滞闭环系统。第二层控制,利用时滞系统的控制理论,采用线性矩阵不等式方法,求解状态反馈矩阵和观测器增益矩阵,进行反馈控制。10机39节点算例测试系统上的仿真结果表明,基于该方法设计的附加区间阻尼控制器,具有一定的时滞不敏感性,鲁棒性强,能够较好地抑制区间振荡。该方法为关于时滞系统的控制理论在广域附加区间阻尼控制中的直接应用搭建了平台,提供了可行性。     

Adaptive TS‐FNN control for a class of uncertain multi‐time‐delay systems: The exponentially stable sliding mode‐based approach

This paper presents an adaptive Takagi–Sugeno fuzzy neural network (TS‐FNN) control for a class of multiple time‐delay uncertain nonlinear systems. First, we develop a sliding surface guaranteed to achieve exponential stability while considering mismatched uncertainty and unknown delays. This exponential stability result based on a novel Lyapunov–Krasovskii method is an improvement when compared with traditional schemes where only asymptotic stability is achieved. The stability analysis is transformed into a linear matrix inequalities problem independent of time delays. Then, a sliding mode control‐based TS‐FNN control scheme is proposed to achieve asymptotic stability for the controlled system. Since the TS‐FNN combines TS fuzzy rules and a neural network structure, fewer numbers of fuzzy rules and tuning parameters are used compared with the traditional pure TS fuzzy approach. Moreover, all the fuzzy membership functions are tuned on‐line even in the presence of input uncertainty. Finally, simulation results show the control performance of the proposed scheme. Copyright © 2008 John Wiley & Sons, Ltd.     

基于多目标优化的时滞广域阻尼控制器设计

提出一种考虑区间模式和本地模式协调的时滞广域阻尼控制器设计新方法。首先,根据能控能观指标找出最佳反馈信号和输出控制量。然后,计算超前滞后补偿的时间常数,并构建区间和本地模式协调优化的多目标函数,应用\"教与学\"优化算法确定最优增益序列。最后,应用均衡降阶算法对系统进行降阶,基于线性矩阵不等式(LMI)理论分析最优增益序列,选出对时滞鲁棒性最好的值。新英格兰测试系统的仿真结果表明,提出的基于多目标优化的时滞广域阻尼控制器设计方法,在很好地抑制了区间振荡模式的同时,保证本地振荡模式不被恶化,并且对时滞具有很好的鲁棒性。