具有一般不确定性的非线性系统的鲁棒输出反馈控制(英文)

为将文献 [1]中结果推广到具有一般不确定性的系统并降低在过渡阶段所需要的控制量 ,通过引入新的正则信号和一些正光滑设计函数来处理状态估计误差和不确定性 ,设计了鲁棒输出反馈控制器 .它能保证闭环系统信号的全局有界性 ,并使输出跟踪误差任意小 .仿真说明 ,应用本文控制器 ,获得的性能要好 ,所需控制量要小 .

非线性系统的鲁棒H^∞输出反馈控制

研究了带有时变参数不确定的非线性系统的鲁棒 H∞ 输出反馈控制问题 ,此不确定性包含在所有系统矩阵中并受到某种积分函数限制。建立了非线性鲁棒 H∞ 控制问题与相应一般非线性系统的 H∞ 控制问题之间的等价关系 ,从而通过求解不包含参数不确定的辅助非线性系统的标度 H∞ 控制问题来获得非线性鲁棒 H∞ 控制问题的解。

风电交直流通道互联电力系统暂态稳定线性变参数鲁棒反馈控制

针对交直流系统中影响暂态稳定电磁转矩和机械转矩平衡控制问题变参数特性,结合大规模风电功率的不确定性,提出了将直流通道功率控制与互联系统内机械功率作为控制目标的互联系统暂态稳定的线性变参数鲁棒反馈控制方法,以提高经交直流风电通道互联的系统的暂态稳定性。针对互联系统暂态过程的强非线性特性,建立了线性变参数模型;根据暂态过程系统出现的功率差额和风电出力不确定度,将系统暂态过程设计为变参数的线性化模型。对线性变参数模型设计H∞鲁棒输出反馈控制器及其在线求解算法。根据线性变参数设计点和鲁棒控制器,提出了互联系统暂态稳定控制策略拓扑及传递函数。应用交直流联络线互联形成的4个等值电网互联系统进行数字仿真,结果表明,文章所提出线性变参数鲁棒反馈控制模型,具有较好的响应特性和暂态稳定控制效果。

冷带轧机厚控系统自适应鲁棒输出反馈动态控制器设计

冷带轧机厚控系统可被认为是一个受外界干扰的线性不确定时滞系统.本文首先设计了标称系统下的鲁棒输出反馈动态控制器,以改善闭环系统的动静态性能;其次,在系统不需要满足不确定性匹配条件的情况下,将参数和外部扰动不确定性综合考虑,应用Lyapunov稳定性理论设计了系统不确定性上界参数的自适应估计器和系统的自适应控制器,保证了闭环系统的渐近稳定性,减小了设计的保守性;两者结合实现了板带出口厚度的有效控制.最后通过一个仿真实例说明本文所提出的自适应鲁棒控制器的有效性.

基于鲁棒观测器的肘关节鲁棒自适应控制

针对伺服阀控制的、双螺旋副传动的七功能机械手肘关节存在液压系统强非线性、易受外界环境温度和压力变化引起的参数不确定性、外界未知强干扰和仅有位置和油液压力状态反馈的控制特点,提出基于鲁棒观测器的输出反馈鲁棒自适应控制方法.该方法利用反演控制器设计方法对耦合的不确定系统参数和未知状态进行解耦,结合鲁棒观测器和鲁棒自适应控制器设计方法分别对未知状态和不确定参数进行观测和估计,使用李雅普诺夫稳定性理论保证了系统全局渐进稳定的控制性以及系统状态的有界性,解决了同时存在系统参数不确定性和部分未知状态相耦合的鲁棒控制问题.以国家高科技发展计划4 500m深海作业系统的七功能主从液压机械手肘关节作为研究对象,使用提出的控制方法进行在未知外界干扰下的对比研究.实验结果表明,闭环系统可以很好地跟踪参考轨迹,具有较强的鲁棒性,能够获得令人满意的稳态精度和动态性能;修正后的参数自适应律能够保证在外界未知干扰下估计参数的有界性.

风电随机条件下鲁棒安全区间经济调度研究

针对未考虑风电出力不确定性的传统确定性调度模式不利于风电消纳的问题,利用鲁棒区间经济调度方法,以风电场的允许出力区间下限与预测置信区间下限相等为边界条件,将风电场的允许出力区间上限作为优化参数,在保证系统安全性的基础上兼顾风电的渗透率,以常规机组的燃料成本最小化和风电场允许出力区间最大化为目标函数,建立了考虑网损的鲁棒区间经济调度模型,并采用改进μ约束处理技术的差分进化算法对模型进行求解。最后,通过IEEE30节点测试系统分析了不同装机容量下及不同目标函数和风电场允许出力区间约束下风电消纳情况,验证了所提鲁棒区间经济调度模型的有效性。

基于相空间三维动态稳定域的重型车辆稳定性控制策略研究

重型商用车存在转动惯量大、控制响应慢等特点。针对重型商用车,基于质心侧偏角、横摆角速度、垂向载荷转移系数设计了三维相空间分析方法,从而判断车辆的实时稳定状态。针对不同的车辆行驶状态,采用AFS控制和AFS/DYC分级控制,并基于利用附着系数设计了可拓控制方法,从而补偿前轮转角和横摆力矩的控制输出,以保证控制器在不同工况下的鲁棒性。通过TruckSim/Simulink联合仿真和硬件在环实验验证了该方法的有效性,并在仿真中通过B-ψ^(·)-LTR判断和B-ψ^(·)判断对比证明了相空间动态稳定域的优越性。仿真和实验结果表明:相比单纯以驾驶员意图操纵车辆,所设计的基于可拓H_(∞)的AFS/DYC分级控制策略可以保证车辆在不同工况下的稳定性,尤其在低附着路面上表现出更好的稳定性,可有效降低车辆在极端工况下发生交通事故的概率。

Optimal Guaranteed Cost Control via Static Output Feedback for Uncertain Discrete Time Systems

Aim To study the optimal guaranteed cost control problem via static output feedback for uncertain linear discrete time systems with norm bounded parameter uncertainty in both the state and the control input matrices of the state space model. Methods\ An upper bound on a quadratic cost index was found for all admissible parameter uncertainties and minimized by using Lagrange multiplier approach. Results and Conclusion\ Sufficient conditions are given for the existence of a controller guaranteeing the closed loop system quadratic stability and providing an optimized bound. A numerical algorithm for solving the output feedback gain is also presented.

Robust H∞ output feedback control for a class of uncertain Lur＇e systems with time-delays

In this work, the analysis of robust stability and design of robust H∞ output feedback controllers for a class of Lur'e systems with both time-delays and parameter uncertainties were studied. A robust H∞ output feedback controller based on Linear Matrix Inequalities (LMIs) was developed to guarantee the robust stability and H∞ performance of the resultant closed-loop system. The presented design approach is based on the application of descriptor model transformation and Park's inequality for the bounding of cross terms and is expected to be less conservative compared to reported design methods. Finally, illustrative examples are advanced to demonstrate the superiority of the obtained method.

Global Robust and Adaptive Output Feedback Dynamic Positioning of Surface Ships

A constructive method was presented to design a global robust and adaptive output feedback controller for dynamic positioning of surface ships under environmental disturbances induced by waves, wind, and ocean currents. The ship's parameters were not required to be known. An adaptive observer was first designed to estimate the ship's velocities and parameters. The ship position measurements were also passed through the adaptive observer to reduce high frequency measurement noise from entering the control system. Using these estimate signals, the control was then designed based on Lyapunov's direct method to force the ship's position and orientation to globally asymptotically converge to desired values. Simulation results illustrate the effectiveness of the proposed control system. In conclusion, the paper presented a new method to design an effective control system for dynamic positioning of surface ships.

Robust control of a class of non-affine nonlinear systems by state and output feedback

Robust control design is presented for a general class of uncertain non-affine nonlinear systems. The design employs feedback linearization, coupled with two high-gain observers: the first to estimate the feedback linearization error based on the full state information and the second to estimate the unmeasured states of the system when only the system output is available for feedback. All the signals in the closed loop are guaranteed to be uniformly ultimately bounded(UUB) and the output of the system is proven to converge to a small neighborhood of the origin. The proposed approach not only handles the difficulty in controlling non-affine nonlinear systems but also simplifies the stability analysis of the closed loop due to its linear control structure. Simulation results show the effectiveness of the approach.