| 1. | The quadratic performance index optimal control technique was introduced to design the optimal sliding mode
结合二次型性能指标最优控制方法，给出了线性无时滞系统最优滑模的综合设计方法。 |
| 2. | A successive approximation algorithm of designing optimal disturbances rejection controllers is developed with respect to quadratic performance indexes
关于二次型性能指标给出了一种设计最优扰动抑制控制律的逐次逼近方法。 |
| 3. | A successive approximation approach designing optimal controller is proposed with respect to the finite - domain quadratic performance indexes
根据有限时域二次型性能指标，提出了一种基于逐次逼近思想的大系统近似最优扰动抑制方法。 |
| 4. | The electro - hydraulic proportional control law is given . the laws of tracking control of displacement and speed of aircraft as well as tracking control of angle and angular speed of belt wheel are designed by means of state feedback linearization and quadratic performance index linear optimal control method . the robustness of the designed systems is analyzed , and arresting processes are simulated
给出了电液比例控制规律；利用状态反馈线性化及二次型性能指标线性最优控制方法分别设计了系统跟踪控制飞机位移与速度以及跟踪控制带轮转角与角速度的非线性控制规律；对所设计的拦阻系统进行了鲁棒性分析及拦阻过程仿真，仿真结果表明，通过选取适当比例系数或控制权系数，两种控制系统的控制效果及鲁棒特性均优于新型飞机拦阻系统。 |
| 5. | In the second methodology , parameterized matrices are taken as the weighting matrices of the quadratic performance index . due to the existence of the relationship between parameterized matrices and control forces , the parameterized coefficients of the weighting matrices can be regarded as the control parameters , and they are taken as one part of the synthesis design variables . since the experimental conditions can not meet the requirement of acoustic measuring , a method based on experiment and simulation analysis is developed
在第二种方法中，以参数化矩阵作为二次型性能指标中的权矩阵，由于参数化权矩阵与机构控制力之间存在的对应关系，可以将权矩阵的参数化系数作为控制系统参数，与结构设计参数一起同时作为独立的设计变量，对目标函数进行优化分析。 |
| 6. | Secondly , the non - linear model of ship motion was studied . the non - linear term and the term related to pitching velocity are referred to disturbance of the system to get state feedback designed mathematic model of the rudder / fin joint control system . the non - linear rudder / fin joint control system - designing problem was transformed into disturbance attenuation linear system designing problem , which uses quadratic performance as object function
为了得到船舶舵鳍联合控制系统的状态反馈h ~设计的数学模型，把非线性项及与横荡速度相关的项也看作是对系统的扰动，把非线性船舶舵鳍联合控制系统设计问题化为以二次型性能指标为目标函数的干扰抑制的h ~线性系统设计问题。 |
| 7. | An upper bound of the closed loop performance statistic given by the index of quadratic performance is found for all admissible parameter uncertainties . the poles of the closed loop systems is described by the delta operator models in the specified stable region of the complex plane which makes the poles in the specified region when the sampling period is becoming shorter
采用线性矩阵不等式处理方法及李亚普诺夫二次稳定性理论，分析、证明了极点约束控制的存在条件，并利用lmi方法把delta算子系统的极点配置在一个稳定的区域内，解决了delta域内的极点配置问题，使得期望的极点始终在这个稳定的区域内。 |
| 8. | For a nonlinear system with time - delay , the optimal control problem based on quadratic performance indexes is usually transformed to a nonlinear two - point boundary value problem with not only time - delay terms but also time - advance terms . therefore , this kind of optimal control problem is especially difficult to be solved , no matter exact solutions or numeral solutions
对于带时滞的非线性控制系统，其基于二次型性能指标的最优控制问题往往转化为一个既有时间滞后项又有时间超前项的非线性两点边值问题，因此解决这一类控制问题尤其困难，不论是求其精确解还是数值解。 |
