不确定系统的鲁棒D控制

针对一类范数有界参数不确定线性连续系统,研究了使得闭环系统的所有极点均配置在给定部分扇形区域中的状态反馈控制器设计问题.基于线性矩阵不等式(LMI)处理方法,给出了不确定线性系统存在鲁棒D控制的充分条件,并利用使两个LMIs同时成立的可行解给出了状态反馈控制器的设计算法和设计步骤.最后,通过一算例验证了结果的正确性和有效性.     

不确定广义系统的鲁棒严格无源控制

讨论了不确定线性广义系统的严格无源性和严格无源控制问题.为了解决广义系统严格无源条件中的等式限制问题,通过引入松驰变最描述广义系统快变子系统与慢变子系统之间的代数关系,以严格线性矩阵不等式的形式,给出了广义系统严格尤源的充分条件.基于该条件,设计了鲁棒严格开源控制器,并用具体实例说明所设计的控制器能保证闭环控制系统是严格无源的.     

一种基于LMI的鲁棒励磁控制器的设计

基于LMI方法设计了单机无穷大系统的鲁棒H∞励磁控制器,由于采用△Vt和△Pe作为输出反馈的反馈输入变量,设计的控制器在提高系统稳定性的同时,使发电机端电压在遭受扰动后的变化特性也得到了明显改善.     

H∞ Robust Fault-Tolerant Controller Design for an Autonomous Underwater Vehicle＇s Navigation Control System

In order to improve the security and reliability for autonomous underwater vehicle (AUV) navigation, an H_∞ robust fault-tolerant controller was designed after analyzing variations in state-feedback gain. Operating conditions and the design method were then analyzed so that the control problem could be expressed as a mathematical optimization problem. This permitted the use of linear matrix inequalities (LMI) to solve for the H_∞ controller for the system. When considering different actuator failures, these conditions were then also mathematically expressed, allowing the H_∞ robust controller to solve for these events and thus be fault-tolerant. Finally, simulation results showed that the H_∞ robust fault-tolerant controller could provide precise AUV navigation control with strong robustness.     

The performance improvements of train suspension systems with mechanical networks employing inerters

This paper investigates the performance benefits of train suspension systems employing a new mechanical network element called an inerter. An inerter is a true mechanical two-terminal element with the applied force proportional to the relative acceleration across the terminals. Until now, ideal inerters have been applied to car and motorcycle suspension systems, for which a significant performance improvement was reported. In this paper, we discuss the performance benefits of train suspension systems employing inerters. The study was carried out in three phases. First, fixed suspension structures were applied to train suspension systems, and optimised for two performance measures. Secondly, this optimisation was further carried out using linear matrix inequality approaches to discuss the achievable performance of passive networks. The resulting networks can then be realised by synthesis methods, such as the Brune and Bott–Duffin realisation. Finally, the nonlinear properties of inerter models and their impact on system performance were discussed. From the results, the inerter was deemed effective in improving the performance of train suspension systems.     

一类连续切换系统的渐近稳定性

针对一类连续时变时滞切换系统,通过构造适当的Lyapunov函数,提供适当的能量函数.利用线性矩阵不等式方法,讨论系统的能量递减,证明该系统在任意切换下的稳定性.通过MATLAB数值仿真,结果表明该系统是渐近稳定的,表明该方法是有效的.     

一类输入时滞系统的鲁棒预测控制器的设计

针对一类不确定离散输入时滞系统,研究了使得闭环系统稳定,在预测时域内性能指标在线最小化的鲁棒预测控制器的设计问题.将预测时域后的性能指标函数用终端惩罚项近似,将无限时域性能指标函数转换成有限时域性能指标函数;基于滚动优化原理,将预测时域内的控制项用自由项代替,直接求取当前时刻的控制量,扩大可行解的范围,提高控制性能.通过求解线性矩阵不等式方法求解控制器.最后的仿真实例证明了该算法的有效性.