Improved Results on Robust H_∞ Control of Uncertain Discrete-time Systems with Time-varying Delay

In this paper, the robust H∞ control problem for uncertain discrete-time systems with time-varying state delay is con- sidered. Based on the Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the difference of the Lyapunov functional, a new less conservative sufficient condition for the existence of a robust H∞ controller is obtained. Moreover, the cone complementary linearisation procedure is employed to solve the nonconvex feasibility problem. Finally, several numerical examples are presented to show the effectiveness and less conservativeness of the proposed method.

Operator-Based Robust Nonlinear Control for SISO and MIMO Nonlinear Systems With PI Hysteresis

In this paper, operator based robust nonlinear control for single-input single-output(SISO) and multi-input multi-output(MIMO) nonlinear uncertain systems preceded by generalized Prandtl-Ishlinskii(PI) hysteresis is considered respectively. In detail, by using operator based robust right coprime factorization approach, the control system design structures including feedforward and feedback controllers for both SISO and MIMO nonlinear uncertain systems are given, respectively.In which, the controller design includes the information of PI hysteresis and its inverse, and some sufficient conditions for the controllers in both SISO and MIMO systems should be satisfied are also derived respectively. Based on the proposed conditions, influence from hysteresis is rejected, the systems are robustly stable and output tracking performance can be realized.Finally, the effectiveness of the proposed method is confirmed by numerical simulations.

Observer-based H-infinity output feedback control with feedback gain and observer gain variations for Delta operator system

Considering that the controller feedback gain and the observer gain are of additive norm-bounded variations, a design method of observer-based H-infinity output feedback controller for uncertain Delta operator systems is proposed in this paper. A sufficient condition of such controllers is presented in linear matrix inequality （LMI） forms. A numerical example is then given to illustrate the effectiveness of this method, that is, the obtained controller guarantees the closed-loop system asymptotically stable and the expected H-infinity performance even if the controller feedback gain and the observer gain are varied.

Observer-based robust H-infinity control for uncertain switched systems

The problem of observer-based robust H-infinity control is addressed for a class of linear discrete-time switched systems with time-varying norm-bounded uncertainties by using switched Lyapunov function method. None of the individual subsystems is assumed to be robustly H-infinity solvable. A novel switched Lypunov function matrix with diagonal-block form is devised to overcome the difficulties in designing switching laws. For robust H-infinity stability analysis, two linear-matrix-inequality-based sufficient conditions are derived by only using the smallest region function strategy if some parameters are preselected. Then, the robust H-infinity control synthesis is studied using a switching state feedback and an observer-based switching dynamical output feedback. All the switching laws are simultaneously constructively designed. Finally, a simulation example is given to illustrate the validity of the results.

Coordinated Robust PID-based Damping Control of Permanent Magnet Synchronous Generators for Low-frequency Oscillations Considering Power System Operational Uncertainties

In recent years, with the growth of wind energy resources,the capability of wind farms to damp low-frequency oscillations(LFOs) has provided a notable advantage for the stabilityenhancement of the modern power grid. Meanwhile, owingto variations in the power system operating point (OP), thedamping characteristics of LFOs may be affected adversely. Inthis respect, this paper presents a coordinated robust proportional-integral-derivative (PID) based damping control approachfor permanent magnet synchronous generators (PMSGs)to effectively stabilize LFOs, while considering power system operationaluncertainties in the form of a polytopic model constructedby linearizing the power system under a given set ofOPs. The proposed approach works by modulating the DC-linkvoltage control loop of the grid-side converter (GSC) via a supplementaryPID controller, which is synthesized by transformingthe design problem into H-infinity static output feedback(SOF) control methodology. The solution of H-infinity SOF controlproblem involves satisfying linear matrix inequality (LMI)constraints based on the parameter-dependent Lyapunov functionto ensure asymptotic stability such that the minimal H-infinityperformance objective is simultaneously accomplished forthe entire polytope. The coordinated damping controllers forthe multiple wind farms are then designed sequentially by usingthe proposed approach. Eigenvalue analysis confirms the improveddamping characteristics of the closed-loop system forseveral representative OPs. Afterward, the simulation results, includingthe performance comparison with existing approaches,validate the higher robustness of the proposed approach for awide range of operating scenarios.

New approaches to delay-dependent robust H_(∞) control of uncertain discrete-time T-S fuzzy systems with time-varying delay

This paper investigates the problem of delaydependent robust H_(∞) state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems.The state delay is assumed to be time-varying and of an interval-like type with the lower and upper bounds.The parameter uncertainties are assumed to have a structured linear-fractional form.Based on a novel fuzzy-basisdependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach,some new delaydependent sufficient conditions for robust H_(∞) performance analysis and controller synthesis are derived in terms of linear matrix inequalities(LMIs).Numerical examples are also provided to illustrate the effectiveness of the proposed approaches.

基于广义双曲正切模型的机器人鲁棒模糊自适应控制

利用广义模糊双曲正切模型的全局逼近特点,设计一种模糊自适应控制器用于机器人轨迹跟踪控制.广义双曲正切模型利用输入变量的平移能以任意精度逼近系统的不确定动态.对于系统不确定外界干扰和模糊系统的逼近误差,通过求解一个线性矩阵不等式来保证闭环系统的鲁棒稳定性.对比传统的模糊基函数,在保证系统跟踪精度的前提下,双曲正切模糊基函数的自适应调整参数大大减少,仿真表明该控制算法具有较强的鲁棒性能和较好的跟踪性能.

一类不确定广义周期时变系统的鲁棒H_∞控制

本文研究了状态矩阵具不确定性广义周期时变系统的鲁棒H∞控制问题.利用线性矩阵不等式(LMI)方法,在给出不确定广义周期时变系统广义可镇定和广义二次可镇定且具有H∞性能指标概念的基础上,得到了该系统广义二次可镇定且具有H∞性能指标γ的充要条件,并给出了相应的鲁棒H∞状态反馈控制律的设计方法,推广了周期系统的鲁棒控制理论结果.最后,通过数值算例说明了设计方法的有效性.

Delta算子系统基于输出反馈的鲁棒协方差控制

研究Delta算子描述的线性不确定系统基于输出反馈的鲁棒协方差控制问题,即设计输出反馈控制器,使Delta算子不确定系统鲁棒稳定,且稳态输出协方差矩阵具有给定上界。利用线性矩阵不等式(LMI)方法,给出Delta算子不确定系统输出反馈鲁棒协方差控制器存在的充分条件,并在此基础上,提出Delta算子不确定系统输出反馈鲁棒协方差控制器设计算法。数值算例表明设计方法的可行性。

传感器有故障的Delta算子线性不确定系统的鲁棒D-稳定

研究传感器有故障的Delta算子线性不确定系统的鲁棒D-稳定问题,旨在设计控制器以消除系统不确定性和传感器故障的影响,确保闭环系统极点落在复平面指定圆盘区域内.由于传感器故障具有连续的故障模型,本文采用线性矩阵不等式(LMI)方法,利用故障模型的结构信息,得出了Delta算子系统状态反馈鲁棒D-稳定控制器存在的充分条件,并由此提出相应控制器设计方法.数值算例表明设计方法的可行性和有效性.

广义性能指标下T-S模糊系统的鲁棒可靠控制

针对一类具有输入及输出端扰动的T-S模糊系统,在线性矩阵不等式区域内定义了非线性系统的稳态及动态广义性能指标,提出了线性矩阵不等式(LMI)方法下可靠输出反馈控制器存在的充分条件,从而保证闭环系统在传感器或执行器发生结构性故障时的稳态及动态性能,且始终满足基于L2/L∞范数理论的鲁棒性能,并利用投射引理引入附加阵,解耦该充分条件中的控制器变量与相关Lyapunov函数变量,增加设计的自由度.F-16歼击机的纵向通道控制仿真表明了方法的有效性.

多区域网型结构电力系统鲁棒重叠分散控制

研究一类多区域网型结构特殊重叠电力系统的鲁棒分散控制问题。根据电力系统本身的结构信息约束,提出一种新的互联系统鲁棒分散控制方法。该方法根据大系统包含原理的约束条件,对系统的结构进行重叠分解处理,然后利用线性矩阵不等式(LMI)方法设计系统的鲁棒分散控制器。将该方法应用到一个四区域网型结构电力系统的自动发电控制控制(AGC)中,其仿真结果表明按此方法设计的控制器较直接使用LMI方法能使系统具有更令人满意的控制性能。

时滞不确定广义系统的鲁棒H_∞容错控制

研究了具有状态时滞和参数不确定性的广义系统的鲁棒 H_∞容错控制问题,就执行器故障情形,基于广义 Ricatti 不等式,给出了故障发生时闭环系统仍保持渐近稳定的充分条件和控制器的设计方法,且状态反馈控制器可通过求解 LMI 得到。数值例子验证了设计方法的有效性。

基于δ算子的离散广义系统鲁棒控制器的设计

研究了带有外部干扰的离散广义系统鲁棒控制器的设计问题,给出了系统鲁棒镇定的线性矩阵不等式条件。

广义区间动力系统的鲁棒H_∞控制

讨论了广义区间动力系统的鲁棒H_∞控制问题 利用线性矩阵不等式设计状态反馈控制律,使对所有满足条件的区间矩阵,闭环系统正则、无脉冲。

适用于中低压配电网的VSG多机协同鲁棒运行控制方法

虚拟同步发电机(VSG)作为一种新型电网友好型运行控制方法,通常情况下大多以中低压、多节点分散接入配电网,其存在多类不确定因素以及多机协同运行控制问题,给配电网的安全稳定控制带来了一定的挑战。为此,提出了一种面向中低压配电网的VSG多机协同鲁棒运行控制方法,主要针对协同运行控制中的母线电压跟踪、多机功率均分以及中低压配电网中线路阻抗参数不确定造成的功率耦合不确定和系统设备出力不确定等问题进行了讨论。通过建立VSG并网模型,将不确定功率耦合转化为模型不确定问题进行设计;考虑到中低压配电网中可能存在的拓扑未知和模型阶数较高的问题,通过直接扩张母线电压状态和多机功率均分状态,建立多VSG并网协同控制模型;采用鲁棒控制理论设计整体系统的反馈控制器,抑制模型内部的功率不确定耦合和外部设备不确定出力对控制性能的影响。基于MATLAB/Simulink的仿真模型验证了所提方法的有效性。

基于广义下垂控制的电力电子变压器运行策略优化组合

针对多台电力电子变压器构成的交直流混合系统中,电力电子变压器端口运行模式复杂,组合多样的问题,提出了一种基于广义交直流下垂控制的电力电子变压器运行策略优化组合方法,在保证系统安全运行的同时保证可再生能源的充分消纳。广义交直流下垂控制可通过控制系数的调整来近似端口运行模式的切换,避免了在非线性规划模型中引入整数变量,有效降低了模型的复杂度。在此基础上,建立了考虑可再生能源不确定性的电力电子变压器运行策略鲁棒组合优化模型,并进一步采用双层优化方法对所提模型进行求解,算例仿真结果证明了该方法的有效性与可行性。

不确定多时滞广义系统的非脆弱鲁棒H_∞控制

研究了一类状态含有多时滞的不确定广义系统的非脆弱H∞控制问题.主要利用Lya-punov函数方法和LMI(线性矩阵不等式)方法,对一般情况,获得了使广义闭环系统渐近稳定且满足H∞扰动抑制水平γ的时滞相关充分条件.分别针对控制器加法和乘法不确定性给出其相应的非脆弱鲁棒H∞状态反馈控制器的设计方法.

一类新不确定2-D Roesser模型的鲁棒H_∞控制

讨论了具有广义Frobenius范数有界参数不确定性的2-D Roesser模型的鲁棒H∞控制问题.借助线性矩阵不等式(LMI)给出了2-D Roesser模型鲁棒H∞控制问题可解性的一个充分条件,并利用这个条件,通过解一系列LMI设计出了所期望的γ—次优H∞状态反馈控制律.

参数不确定性广义周期时变系统的鲁棒H_∞控制

研究状态矩阵和控制输入矩阵均具不确定性广义周期时变系统的鲁棒H_∞控制问题.提出参数不确定性广义周期时变系统广义可镇定和广义二次可镇定且具有H_∞性能指标的概念,利用线性矩阵不等式(LMI)方法,得到了参数不确定性广义周期时变系统广义二次可镇定且具有H_∞性能指标γ的充要条件,给出了相应的鲁棒H_∞状态反馈控制律的设计方法.最后,通过数值算例说明了设计方法的有效性.