Delay-dependent robust H∞ control for uncertain fuzzy hyperbolic systems with multiple delays

The robust H∞ control problem was considered for a class of fuzzy hyperbolic model (FHM) systems with parametric uncertainties and multiple delays. First, FHM modeling method was presented for time-delay nonlinear systems. Then, by using Lyapunov-Krasovskii approaches, delay-dependent sufficient condition for the existence of a kind of state feedback controller was proposed, which was expressed as linear matrix inequalities (LMIs). The controller can guarantee that the resulting closed-loop system is robustly asymptotically stable with a prescribed H∞ performance level for all admissible uncertainties and time-delay. Finally, a simulation example was provided to illustrate the effectiveness of the proposed approach.     

H∞ Filter Design for Linear Systems with Delays

This paper focuses on the problem of H∞ filter design for linear delayed systems.A new approach of filter design is proposed by using Lyapunov stability theory together with linear matrix inequality(LMI) approach.Some sufficient conditions for the existence of H∞ filter are established based on the solutions of a set of LMIs.Finally,two examples are given to demonstrate the effectiveness of the proposed method.     

H∞ control for uncertain Markovian jump systems with mode-dependent mixed delays

We study the problem of H_∞ control for a class of Markovian jump systems with norm-bounded parameter uncertainties and modedependent mixed delays including discrete delays and distributed delays in this paper. Our aim is to present a new delay-dependent control approach such that the resulting closed-loop system is robust mean-square (MS) exponentially stable and satis?es a prescribed H_∞ performance level, irrespective of the parameter uncertainties. Such delay-dependent approach does not require system transformation or free-weighting matrix. A numerical example shows that the results are less conservative and more e?ective.     

线性离散系统的非脆弱混合H2/H∞动态输出反馈控制

基于不等式技术研究了线性离散系统的非脆弱混合H2/H∞控制器设计问题.所考虑的控制器具有乘性控制器增益不确定性.设计的动态输出反馈控制器能够保证闭环系统具有渐近稳定性,同时满足混合H2/H∞性能.针对凸多面体结构的不确定线性系统,其结果可推广到鲁棒非脆弱混合H2/H∞控制器的设计当中.最后,通过仿真算例证实了文中所给设计方法的有效性.     

基于混合H2/H∞控制的拼焊板零件成形方法

针对拼焊板零件冲压过程中恒压边力方法的不足,提出了拼焊板零件变压边力混合H2/H∞控制目标,建立了控制模型,设计了控制算法和控制逻辑.采用此模型对拼焊板零件冲压成形进行反馈数值模拟,分析了有无变压边力混合H2/H∞控制对拼焊板零件成形缺陷的影响,将混合H2/H∞控制下的最优压边力曲线输入至压机上微机中作为预定义压边力曲线,并在变压边力冲压机上进行试验验证.仿真和试验结果表明:基于混合H2/H∞理论的变压边力控制方法可成功冲压出车身整体侧围内板,可有效避免在恒压边力下的起皱和破裂2种缺陷,该控制方法可同时考虑冲压行程和压边板位置进行压边力优化,具有更好的鲁棒性.     

Robust L2–L∞ control for uncertain singular systems with time-varying delay

We study the problem of L₂–L_∞ control for a class of uncertain singular systems with time-delay and norm-bounded parameter uncertainties in this paper. A new delay-dependent robust stability criterion is obtained in terms of linear matrix inequalities (LMIs). Based on this criterion, a state feedback controller is designed to guarantee that the closed-loop system is regular, impulse free and stable with a prescribed L₂–L_∞ performance satis?ed for all admissible parameter uncertainties. A simulation example is included to illustrate the e?ectiveness of the proposed method.     

H∞ control for uncertain Markovian jump systems with mode-dependent mixed delays

We study the problem of H∞ control for a class of Markovian jump systems with norm-bounded parameter uncertainties and mode-dependent mixed delays including discrete delays and distributed delays in this paper. Our aim is to present a new delay-dependent control approach such that the resulting closed-loop system is robust mean-square （MS） exponentially stable and satisfies a prescribed H∞ performance level, irrespective of the parameter uncertainties. Such delay-dependent approach does not require system transformation or free-weighting matrix. A numerical example shows that the results are less conservative and more effective.     

H∞滤波器与本征问题精细积分

采用变分法推导,指出在H∞滤波中的导引模Y的选择中,其最优参数Y^-2_cr。可以化成为自伴算子的最小本征值,从而表达为二类变量变分原理的Rayleigh商．引入区段混合能,并对时不变系统给出了精细积分法;结合本征问题的w-w算法(Wittrick—williama algorithm),可求出几乎是计算机精度的最优参数Y^-2_cr     

基于H∞混合灵敏度控制的EPS操纵稳定性研究

针对电动助力转向系统存在的传感器噪声、路面干扰、参数摄动等不确定性,以及转向系统的多控制目标要求,设计了一种基于H_∞混合灵敏度控制方法的EPS系统电流控制器.建立了能够体现装配EPS系统汽车助力特性和整车操纵稳定性能的综合模型,从而使评价EPS汽车综合操纵性能的指标更加全面和符合实际.仿真与分析结果表明,所设计的控制器不仅能够保证满意的路感、良好的操纵稳定性能,而且可以有效抑制传感器噪声和路面干扰的影响,从而提高了系统的性能鲁棒性和稳定鲁棒性.     

一类带时滞的静态神经网络的H∞滤波问题

文章研究了一类带有时滞的静态神经网络的H_∞滤波问题。通过引入一个增广的Lyapunov-Krasovskii泛函,并使用Bessel-Legendre不等式估计Lyapunov-Krasovskii泛函求导后的交叉项,给出了时滞神经网络稳定性分析的新的有界实引理。基于该有界实引理,得到了滤波误差系统的H_∞性能分析,并通过求解线性矩阵不等式得到滤波器。     

H∞优化控制理论在振动控制系统中的仿真研究

研究了H∞优化控制方法在振动控制系统中的应用.以磁悬浮球装置作为被控对象,研究了H∞优化控制在抗干扰能力、鲁棒性,以及抑制"溢振”方面的性能.仿真结果表明H∞优化控制理论在振动控制中抑制"溢振”方面具有优良性能.     

Mixed H_2/H_∞ Control Using a Fuzzy Singularly Perturbed Model with Multiple Perturbation Parameters for Gust Load Alleviation

This paper presents a mixed H2/H∞ control using fuzzy singularly perturbed model (FSPM) with multiple perturbation parameters. Since FSPM with multiple perturbation parameters is an extension of models with a single perturbation parameter, the theoretical results are applicable to a larger class of systems described by multiple time scale nonlinear models, such as flying aircraft and flexible space robots. The parameter-independent solution of the mixed H2/H∞ controller was obtained in the form of linear ma...     

基于鲁棒H∞的无人机飞行控制系统设计及实现

为解决无人机飞行过程中由于外界干扰及被控对象模型摄动引起的系统不确定性问题,提出了一种易于工程实现的鲁棒H_∞自动驾驶仪设计方法. 建立了描述无人机运动的线性化模型,选取权函数并构造了广义被控对象,利用鲁棒H_∞理论进行了控制器设计. 考虑到硬件实现,对鲁棒H_∞控制器进行了模型降阶和离散化,并将离散的控制器代码植入自动驾驶仪的DSP芯片中. 半物理仿真结果表明,无人机在自动驾驶仪作用下可以准确跟踪参考信号,各项运动参数满足设计指标,鲁棒H_∞控制器可应用于无人机飞行控制系统.      

非线性系统预设有限时间有界H∞容错控制

针对一类具有外部扰动的严格反馈非线性系统,研究系统的预设有限时间有界H_∞容错控制问题,提出一个新的预设有限时间性能函数,进一步改进约束控制性能。结合反步法和有界H_∞设计思想,给出一种预设性能有限时间有界H_∞容错控制器设计方案,解决非线性系统在有界稳定情况下的H_∞控制设计问题。所设计的控制器能够保证跟踪误差,以预先设定的暂态和稳态性能在有限时间内收敛到平衡点附近的小邻域内,并且具有H_∞干扰抑制性能。仿真结果验证了所提方法的有效性。     

TCP/AWM网络系统的H∞拥塞跟踪控制

对于TCP/AWM网络系统拥塞跟踪控制问题,提出了一种基于AWM机制的拥塞控制策略设计思想.针对网络系统的非线性模型,采用坐标变换将其转化为具有下三角结构的误差模型.采用backstepping技术设计了H_∞控制器.考虑到系统中存在UDP流干扰的情况,设计了H_∞性能函数,对干扰起到良好的抑制作用,将backstepping技术与H_∞性能函数相结合得到了误差系统稳定的充分条件.仿真结果表明,所提控制方法可以快速稳定队列长度,并且在UDP流占据接近一半的链路带宽时依然有效.     

基于观测器的挠性卫星姿态机动抗饱和H∞控制

针对存在外部扰动与输入饱和的挠性卫星姿态机动控制问题,给出一种基于观测器的抗饱和H_∞控制方法.根据该挠性卫星姿态系统的结构特征,设计出基于降维观测器的状态反馈H_∞控制器.以此为基础,采用区域极点配置理论进一步改善控制性能指标.此外,在不增加控制系统维数的情况下,通过执行器的输入输出差设计抗饱和补偿器来消除饱和的影响.最后,数值仿真实例验证了文中方法的有效性和优势.     

一类不确定性切换LPV系统的输出反馈H∞控制

针对一类含不确定性的切换线性变参数(LPV)系统研究其输出反馈H_∞控制问题.首先设计含驻留时间约束的参数与状态依赖的切换律,基于多参数依赖Lyapunov方法,给出闭环系统渐近稳定且满足H_∞性能指标的充分条件.然后解决控制器的可解问题,借助线性矩阵不等式给出控制器中未知参数的设计方法.最后通过数值算例验证方法的可行性.