Reduced-order design of Robust H_∞ Controller for an Inertial Stabilized Aerial Platform

The uncertainty disturbance is one of the main disturbances that seriously influences the stabilization precision of an aerial inertially stabilized platform(ISP)system.In this paper,to improve the stabilization precision of the ISP under disturbance uncertainty,a robust H∞controller is designed in this paper.Then,the reduction order is carried out for high-order controllers generated by the robust H∞loop shaping control method.The application of the minimum implementation and balanced truncation algorithm in controller reduction is discussed.First,the principle of reduced order of minimum implementation and balanced truncation are analyzed.Then,the method is used to reduce the order of the high-order robust H∞loop shaping controller.Finally,the method is analyzed and verified by the simulations and experiments.The results show that by the reduced-order method of minimum implementation and balanced truncation,the stabilization precision of the robust H∞loop shaping controller is increased by about 10%.

Robust H_∞ control for neutral stochastic uncertain systems with time-varying delay

The problem of robust H_∞ control for uncertain neutral stochastic systems with time-varying delay is discussed.The parameter uncertaintie is assumed to be time varying norm-bounded.First,the stochastic robust stabilization of the stochastic system without disturbance input is investigated by nonlinear matrix inequality method.Then,a full-order stochastic dynamic output feedback controller is designed by solving a bilinear matrix inequality（BMI）,which ensures a prescribed stochastic robust H_∞ performance level for the resulting closed-loop system with nonzero disturbance input and for all admissible uncertainties.An illustrative example is provided to show the feasibility of the controller and the potential of the proposed technique.

Robustness-tracking control based on sliding mode and H_∞ theory for linear servo system

A robustness-tracking control scheme based on combining H_∞ robust control and sliding mode control is proposed for a direct drive AC permanent-magnet linear motor servo system to solve the conflict between tracking and robustness of the linear servo system. The sliding mode tracking controller is designed to ensure the system has a fast tracking characteristic to the command, and the H_∞ robustness controller suppresses the disturbances well within the close loop(including the load and the end effect force of linear motor etc.) and effectively minimizes the chattering of sliding mode control which influences the steady state performance of the system. Simulation results show that this control scheme enhances the track-command-ability and the robustness of the linear servo system, and in addition, it has a strong robustness to parameter variations and resistance disturbances.

Robust State Feedback H_∞Control for Dynamic Biped Robot Based on T-S Fuzzy Model

T-S fuzzy model was applied to describe nonlinear system and global fuzzy model was expressed by the form of uncertain system.Based on robust state feedback H_∞control strategy,designed a global asymptotic steady fuzzy model.This control system can use the experimental input-output data pairs for the biped robot learning and walking with dynamic balance.It is proved by simulation result that robust state feedback H_∞control method based on T-S fuzzy model can effectively restrain the effect of model uncertainties and external disturbance acting on biped robot.From these works,we showed the satisfactory performance of joint tracking without any chattering.

Output Feedback Robust H_(∞) Control for Discrete 2D Switched Systems

The two-dimensional(2-D)system has a wide range of applications in different fields,including satellite meteorological maps,process control,and digital filtering.Therefore,the research on the stability of 2-D systems is of great significance.Considering that multiple systems exist in switching and alternating work in the actual production process,but the system itself often has external perturbation and interference.To solve the above problems,this paper investigates the output feedback robust H_(∞)stabilization for a class of discrete-time 2-D switched systems,which the Roesser model with uncertainties represents.First,sufficient conditions for exponential stability are derived via the average dwell time method,when the system’s interference and external input are zero.Furthermore,in the case of introducing the external interference,the weighted robust H_(∞)disturbance attenuation performance of the underlying system is further analyzed.An output feedback controller is then proposed to guarantee that the resulting closed-loop system is exponentially stable and has a prescribed disturbance attenuation levelγ.All theorems mentioned in the article will also be given in the form of linear matrix inequalities(LMI).Finally,a numerical example is given,which takes two uncertain values respectively and solves the output feedback controller’s parameters by the theorem proposed in the paper.According to the required controller parameter values,the validity of the theorem proposed in the article is compared and verified by simulation.

Robust Control Design of Wheeled Inverted Pendulum Assistant Robot

This paper examines the design concept and mobile control strategy of the human assistant robot I-PENTAR(inverted pendulum type assistant robot). The motion equation is derived considering the non-holonomic constraint of the twowheeled mobile robot. Different optimal control approaches are applied to a linearized model of I-PENTAR. These include linear quadratic regulator(LQR), linear quadratic Gaussian control(LQG), H_2 control and H_∞ control. Simulation is performed for all the approaches yielding good performance results.

Generalized Internal Model Robust Control for Active Front Steering Intervention

Because of the tire nonlinearity and vehicle＇s parameters＇uncertainties,robust control methods based on the worst cases,such as H_∞,μsynthesis,have been widely used in active front steering control,however,in order to guarantee the stability of active front steering system（AFS）controller,the robust control is at the cost of performance so that the robust controller is a little conservative and has low performance for AFS control.In this paper,a generalized internal model robust control（GIMC）that can overcome the contradiction between performance and stability is used in the AFS control.In GIMC,the Youla parameterization is used in an improved way.And GIMC controller includes two sections：a high performance controller designed for the nominal vehicle model and a robust controller compensating the vehicle parameters＇uncertainties and some external disturbances.Simulations of double lane change（DLC）maneuver and that of braking on split-μroad are conducted to compare the performance and stability of the GIMC control,the nominal performance PID controller and the H_∞controller.Simulation results show that the high nominal performance PID controller will be unstable under some extreme situations because of large vehicle＇s parameters variations,H_∞controller is conservative so that the performance is a little low,and only the GIMC controller overcomes the contradiction between performance and robustness,which can both ensure the stability of the AFS controller and guarantee the high performance of the AFS controller.Therefore,the GIMC method proposed for AFS can overcome some disadvantages of control methods used by current AFS system,that is,can solve the instability of PID or LQP control methods and the low performance of the standard H_∞controller.

H_∞ Preview Control for Automatic Carrier Landing

This paper focuses on the application of H_∞preview control in automatic carrier landing system(ACLS)for carrier-based aircraft.Due to the mutual movement between aircraft and carrier,the landing process becomes considerably more challenging compared to a conventional runway landing.ACLS systems mitigate this by predicting deck motion and generating ideal glide slope path for tracking.Although,this predicted glide slope information is available in advance,conventional control structures are still unable to use this future information.H_∞preview control has the ability to utilize this future information for improving tracking response and disturbance rejection.The process of incorporating preview information into ACLS framework and synthesizing the H_∞preview controller is presented.The methodology is verified using the example of F/A-18 automatic carrier landing problem and results are presented.

H_∞ ROBUST PERFORMANCE DESIGN FOR UNCERTAIN SYSTEMS

This paper considers the robust per formance design problem of the linear systems with both unmodelled dynamics and real parametric uncertainties. We suggest for the first time that the problem can besolved by the H∞ mixed sensitivity method. The main idea is as follows: Firstly, the original problem istransformed into the robust per formance design problem for a pure parameter uncertain system. Then, theresulting problem is reduced to a standard H∞ control problem which can be solved by the H∞ state feedbacksynthesis method or Doyle’s "DGKF" algorithm.

Robust H_∞/LTR State-Feedback Synthesis Method

This paper focuses on the H_ mixed sensitivity problems of the system with input multiplicative uncertainty, and proposes a new robust H_ /LTR synthesis method. The design procedure consists of two steps. First, an H_ full state feedback control is designed to satisfy the robust stability and performance specifications. Subsequently, the properties of the state feedback are reobtained by designing full state observers.

基于H_(∞)控制器的阀控非对称缸位置伺服系统控制

以阀控非对称缸位置伺服系统为研究对象,建立其数学模型;针对负载突变及油液弹性模量变化提出了H∞鲁棒控制方法,从频域上分析了控制器对系统动态性能和稳态性能的影响。采用AMESim和MATLAB/Simulink搭建了阀控非对称缸位置伺服系统的联合仿真模型,对不同工况下控制器的跟踪精度及抗扰能力进行仿真研究。最后,通过油缸加载实验测试平台对仿真结果进行进一步验证。结果表明:所设计的H∞控制器提高了系统的快速性和鲁棒性,相比于PID控制下系统正弦响应结果,H∞控制器的最大跟踪误差在无负载工况下降低了48.8%,在负载突变工况下降低了56.25%;同时阶跃响应时间缩短了7.5%。

数控机床磁悬浮直线同步电动机混合H_(2)/H_(∞)鲁棒控制器设计

针对数控机床磁悬浮直线同步电动机控制系统,提出混合H_(2)/H_(∞)鲁棒控制。首先,考虑不确定H_(∞)扰动以及端部效应等因素建立数控机床磁悬浮直线同步电动机的数学模型。其次,将鲁棒H_(∞)控制与线性矩阵不等式(linear matrix inequality,LMI)相结合,设计一种基于LMI的鲁棒H_(2)/H_(∞)控制器。再次,为提高系统的动态性能,设计基于LMI的混合鲁棒控制器。最后,仿真H_(2)/H_(∞)结果证明在保证系统鲁棒稳定的前提下,混合鲁棒控制可有效提高系统的收敛速度和响应灵敏度。

基于ISSA-H_(∞)的水电机组鲁棒控制

随着风电、光伏等随机能源大量接入,电网结构变得复杂。在此背景下,水电机组将根据需要经常处于变工况运行,运行环境日趋恶劣,其传统的PID控制策略显然难以实现各种复杂工况下的最优控制。为此,将H_(∞)理论应用于水电机组,并基于改进樽海鞘算法(ISSA)和综合ITAE指标对其参数进行优化,实现了基于ISSA-H_(∞)的水电机组自适应鲁棒控制。仿真结果表明,相比传统的PID控制器,设计的基于ISSA-H_(∞)的自适应鲁棒控制器在不同工况下均有优异的调节性能,实现了水电机组多工况下最优控制。

具有扰动的不确定非线性多智能体系统的鲁棒H_(∞)二分一致性

研究了符号网络上具有参数不确定性和外部扰动的一类非线性时变多智能体系统(multi-agent system,MAS)的鲁棒H_(∞)二分一致性问题。采用鲁棒控制中处理不确定性的思想,将所考虑的系统转化为具有范数有界参数不确定性的时不变动力学模型。将鲁棒一致性转化为降阶H_(∞)控制问题。基于李雅普诺夫稳定性理论,得到了具有期望H_(∞)性能的多智能体系统鲁棒二分一致性的线性矩阵不等式(linear matrix inequality,LMI)充分条件。此外,给出了分布式静态输出反馈控制器的设计过程。进一步以二自由度(two-degree-of-freedom,2-DOF)的平面移动机器人为例,验证了所提出的控制器的有效性。

液压机械式压差伺服系统的差分进化H_(∞)优化设计方法

针对液压机械式压差伺服系统正向设计的难点,提出压差伺服系统的差分进化H∞优化设计方法。通过建立状态空间模型,并设计差分进化H_∞频域优化指标,提出一种压差伺服系统的动态设计方法;在此基础上,完成了压差伺服系统镇定、伺服控制规律的优化设计,并进行系统级仿真。仿真结果表明,压差伺服系统稳态特性满足0.92±0.01 MPa,静态误差小于1%,动态调节时间小于0.01 s,超调量小于10%,相角裕度大于70°,20 Hz正弦波动输入信号的干扰下具有鲁棒抗干扰性能。

T-S模糊系统的动态自触发有限时间H_(∞)控制

文中研究一类不确定Takagi-Sugeno(T-S)模糊系统的自触发有限时间H_(∞)控制。首先,提出动态自触发方案,构造触发参数的动力学方程,从而使自触发机制能依据触发时刻状态自适应地调整触发参数;同时,基于当前触发时刻的系统状态实时计算触发间隔,预测下一个触发时刻。相较于T-S模糊系统的静态自触发方案,文中所提的动态自触发方案能进一步降低触发频率,节约计算资源。其次,基于有限时间稳定理论,设置系统状态运动轨迹的次临界界限;结合状态轨迹与次临界界限的相对位置关系和动态自触发方案,分析系统的H_(∞)性能;此外,设计依赖模糊规则的H_(∞)状态反馈控制律,保证T-S模糊系统的动力学行为有限时间有界。最后,给出实例仿真验证文中方法的可行性。

不确定随机奇异时变时滞系统的鲁棒H_(∞)控制

研究了不确定奇异时变时滞系统的鲁棒H_(∞)控制问题.通过构造李雅普诺夫泛函,应用自由矩阵不等式和伊藤公式,设计了确保闭环系统对所有不确定性鲁棒均方可容许并且具有H_(∞)性能指标γ的控制器.最后的数值实例验证了该方法的有效性.

线性时变不确定时滞系统的鲁棒H_∞控制

本文主要研究了状态和控制同时存在滞后的线性时变不确定时滞系统的鲁棒H∞控制．问题，给出了对所有容许不确定性，被控对象可二次镇定和满足从于扰输入到控制输出的H∞范数界约束的无记忆状态反馈鲁棒H∞控制分析结果，得到了确保鲁棒H∞控制器存在的充分条件．文中进一步把不确定系统的鲁棒H∞控制器设计问题等价为线性时不变系统的状态反馈标准H∞控制问题，并由此得到鲁棒H∞控制器综合设计方法．

H_∞控制在AMD Benchmark结构主动控制中的应用研究

针对AMD(activemassdamper)Benchmark问题,将H∞控制理论引入到结构控制领域,提出了切实可行的主动控制方法。详细阐述了H∞控制权函数的选取方法,并采用DGKF法设计了输出反馈控制器,通过平衡截断法对控制器进行降阶得到四阶控制器。通过数值仿真,验证H∞控制器的有效性和鲁棒性。

H_∞鲁棒滤波器与Kalman滤波器的对比

通常Kalman滤波技术应用得比较广泛 ,然而在系统模型和噪声统计特性存在不确定性的条件下 ,Kalman滤波的应用就受到了一些限制。H∞ 滤波可有效地解决Kalman滤波所遇到的问题 ,不仅估计精度高 ,而且还具有鲁棒性。简要介绍了H∞ 滤波技术和Kalman滤波技术 ,设计了H∞ 鲁棒滤波器和Kalman滤波器 ,并分 3方面对二者的性能进行了比较分析。