Reduced-order output feedback controllers for the robust H∞ performance problem

Conclusion This note considers robust H^∞ control problems for a class of systems with time-varying uncertainty lying in a hyperrectangle. It has two features: (i) Output feedback controllers are discussed instead of the state feed-back ones. It is proved that the problem can be reduced to finite-dimensional convex programming problems of finite vertex LMIs. All desired output feedback controllers can be parameterized based on the solutions of 2^m LMIs. (ii) Reduced-order controller design is considered and the design idea is also formulated as solutions to LMIs. These results are also an extension of the main theorems about reduced-order controllers discussed in ref. [8] for uncertain systems. Based on the approaches presented here, similar problems in the discrete-time case could be dealt with.     

Nonlineat observer-controller design for dynamic positioning of ships

The main focus is nonlinear model-based dynamic positioning (DP) control system design. A nonlinear uniform global exponential stability (UGES) observer produces noise-free estimates of the position, the slowly varying environmental disturbances and the velocity, which are used in a proportional-derivative (PD) + feedforward control law. The stability of this observer-controller system is proved by introducing a specific nonlinear cascaded system. The simulation results have successfully demonstrated the performance of designed DP control system.     

Design of unknown input observer with H∞ performance for linear time-delay systems

A unknown input observer (UIO) design for a class of linear time-delay systems when the observer error can't completely decouple from unknown input is dealt with. A sufficient condition to its existence is presented based on Lyapunov stability method. Design problem of the proposed observer is formulated in term of linear matrix inequalities. Two design problems of the observer with internal delay and without internal delay are formulated. Based on H∞ control theory in time-delay systems, the proposed observer is designed in term of linear matrix inequalities (LMI). A design algorithm is proposed. The effective of the proposed approach is illustrated by a numerical example.     

动力翼伞系统耦合补偿控制策略研究

动力翼伞系统是具有强非线性、强耦合特性的系统,其精确控制比较困难.动力翼伞系统具有两个控制通道,控制的难度在于纵向推力对下偏控制存在着非线性的强耦合作用,在受到风场干扰时会导致系统耦合加剧,从而在控制过程中引起较大偏差,甚至导致系统失速.本文提出了一种基于耦合补偿的自抗扰控制策略,并将该非线性耦合关系设计为扩张状态观测器中的已知扰动,从而提高了控制器的跟踪性能.在动态耦合补偿的基础上改进控制律,将非线性动力翼伞系统设计成易于控制的独立积分器,从而提高横向轨迹跟踪控制器的抗干扰性和控制跟踪性能.通过仿真实验可验证该控制策略优于传统的自抗扰控制（active disturbances rejection controller,ADRC）和PID控制.      

基于负载口独立控制的双伺服阀控缸系统

针对电液伺服系统对控制精度和节能的需求,提出了一种基于负载口独立控制的双伺服阀控缸系统.首先对系统进行了建模分析,然后利用鲁棒自适应的方法对系统进行了完全解耦,针对主、被动负载均存在的位置伺服工况,设计了以位置跟踪为目标的进油口控制器和以压力控制为目标的回油口控制器.同时分析了系统的节能性,设计了基于扩张状态观测器（ESO）的油源压力控制器以及液压泵流量控制器.最后通过实验验证该系统的控制性能和节能效果.      

考虑系统总和扰动的多关节机械臂 反步有限时间滑模控制

针对多关节机械臂轨迹跟踪控制中存在的模型参数摄动和外部有界扰动等不确定性因素影响问题,设计了一种考虑系统总和扰动的反步有限时间滑模控制算法,用于实现多关节机械臂轨迹跟踪控制任务。首先,利用严格反馈形式描述多关节机械臂的动力学模型,并将模型参数摄动和外部有界扰动等不确定性因素看成系统的总和扰动,进而设计非线性扩张状态观测器对系统总和干扰加以估计,以提高系统的鲁棒性能;其次,在传统反步法设计的基础上结合有限时间滑模控制技术,完成系统反步有限时间滑模控制器的设计;最后,应用Lyapunov稳定性理论证明了多关节机械臂的位置矢量能够实现对期望位置矢量的有限时间稳定跟踪。仿真对比结果表明设计反步有限时间滑模控制算法的有效性。     

基于扰动观测器的非线性不确定系统滑模H2保性能控制

针对一类受到外界扰动的非线性不确定系统,基于扰动观测器提出一种滑模保性能H_2控制策略。首先,根据所提出的复合滑模面,设计包含扰动估计的滑模控制策略;其次,依据H_∞和极点配置理论,设计鲁棒扰动观测器,来实现对扰动的估计;最后,给出了控制参数的选取原则,以实现H_2保性能控制。仿真结果表明,该算法不仅能够有效抑制抖振,而且摆脱了对系统先验信息的依赖,具有较高的实用性和有效性。     

基于扩展观测器的电液负载模拟器自适应鲁棒控制

针对电液负载模拟器中传感器测量噪声干扰和未知的外部扰动引起的跟踪精度不高的问题,提出了一种基于扩展观测器的自适应鲁棒控制器。利用扩展观测器估计系统中未知的模型不确定性并进行补偿,同时,在观测器和控制器的自适应模型补偿器设计中,将实际状态值替换为相应的期望信号值,以减少测量噪声的干扰,控制器和扩展观测器中的系统参数均通过参数自适应得到。利用Lyapunov理论进行了闭环系统的稳定性分析。仿真结果表明,在不存在外部扰动的情况下,所提出的控制器能够达到更高的跟踪精度,而在存在外部扰动的情况下,所提出的控制器不仅保持了良好的跟踪性能,同时具有较强的鲁棒性。     

二维离散系统Roessor模型的观测器

该文推导出观测器存在的充分条件,并提出了降阶观测器的构造方法。     

基于扰动观测器的伺服控制器设计及仿真研究

利用扰动观测器减弱系统的量测噪声和外部扰动,利用抗漂移的状态反馈控制器来减弱驱动饱和的影响,将这两种策略综合用于伺服控制器的设计并重点对这种方案进行了仿真对比研究。仿真结果表明基于扰动观测器的伺服系统在扰动及量测噪声不大,且系统模型参数变化不大的情况下具有较高的动态性能及较高的跟踪精度并能克服饱和约束的不良影响。