增益矩阵

由N个采样时刻直接计算出增益矩阵G；（3）将向量（？）

Gain Matrix G is calculated by using N sampling points .

目前大多数自适应速度观测器均采用极点配置的方法来确定增益矩阵G。

At present , most adaptive speed observers are using the method of pole placement to determine the gain matrix .

分别采用给定增益矩阵P求权矩阵Q和给定Q阵求P阵的两种方法来求解Riccati矩阵代数方程。

Two approaches are taken for solving the Riccati algebraic equation .

通过求解一组LMI，获得模糊控制器增益矩阵。

By solving a set of LMI , fuzzy controller gain matrix is obtained .

相对增益矩阵方法在UPFC潮流控制中的应用

Application of relative gain array method to power flow control of UPFC

通过适当引入不等式进行控制器设计，使得控制增益矩阵可以通过LMI直接求解。

By introducing some inequalities , the controller gain matrices are solved in terms of LMIs .

建立了多码CDMA系统的归一化链路增益矩阵，功率分配归结为求解该矩阵在有约束条件下的最大实特征值。

Normalized path gain for multi-code CDMA system is constructed , and power allocation is achieved by eigenvector of normalized path gain matrix .

该方法设定外部干扰矩阵，基于全状态的分散，将系统干扰项考虑到反馈增益矩阵F中，用迭代方法求F阵以使闭环系统最优。

The method sets system disturbance within the feedback gain matrix F , which can be computed by iteration , in order to make the closed loop system optimum .

本文采用Lyapunov稳定性理论设计了观测器的参数自适应律和反馈增益矩阵，保证了自适应观测器的稳定性。

According to Lyapunov stability theory , the feedback gain matrix and adaptive laws were designed to ensure the stability of the proposed adaptive observers .

电力系统P-Q分解状态估计中的增益矩阵

The Gain Matrix in P-Q Decoupled State-Estimation for Power Systems

COATES图和改进的COATES图的增益矩阵

Gain matrixes for Coates diagram and improved Coates diagram

该参数化方法给出了该类观测器增益矩阵的参数化表达式，其所含参数除了满足两个约束条件之外是完全自由的.空间群PI；

The method presents the parametric expression for the gain matrix of the high-order PI observer . The contained parameters satisfy the needs of two constraints and are completely free as well .

当控制器的增益矩阵已知时，基于单Lyapunov函数技术和凸组合条件给出控制器切换方案以确保非线性不确定时滞系统具有鲁棒H∞性能。

When the gain matrices of controllers are known , based on single Lyapunov function technique and convex combination condition , a switching law under which the systems are stable with H-infinity-norm bound is constructed .

通过求解一些LMIs来得到反馈控制律和观测增益矩阵。

The control law and observer gain of the multirate output feedback controller are obtained by solving a series of LMIs .

应用Matlab工具函数lqr，得到最优控制器对应的反馈增益矩阵，由此实现求反馈矩阵及倒立摆控制的程序。

The Matlab tool function lqr is adopted to acquire the corresponding feedback plus matrix of optimized controller . Then , the program of feedback matrix and pendulum control is realized .

提出了一种新的负荷频率分散控制器（LFDC）的设计方法，因考虑了权矩阵Q及增益矩阵K的优化，设计出的分散控制器具有可与最优控制器相比拟的动态品质；

As the optimization and coordination of weight matrix Q and feedback gain matrix K are taken into account , the dynamic performance of the decentralized controller designed by this method is as good as that of the optimal controller .

基于神经网络，对一类非线性系统H∞控制进行了研究，反馈增益矩阵转化为线性矩阵不等式问题，通过凸优化方法在线解决。

This paper , based on neural networks , has investigated a class of nonlinear system of neural net-based H ∞ control design , and has shown the gibbous optimization method can solve the problem of linear matrix inequality transformed from plus matrix .

在此模型的基础上，利用迭代学习方式修正输入量的泰勒展开系数，并用LMI方法求解学习增益矩阵。

Based on the model , the Taylor series coefficients of control function are adjusted by an iterative learning law and the learning gain matrix is designed via LMI optimization .

本文提出了根据反馈增益矩阵（F）推算与此相应的最优控制的权矩阵（Q）的直接计算方法，对于单输入的控制系统其计算是非常简单的。

This paper describes the direct computing method of deriving the corresponding weighting matrix ( Q ) for optimum control . based on feedback incremental matrix ( F ) The computation is very simple , especially for a single-input control system .

当选定一些自由参数的时候，该矩阵不等式可转化为LMI，且所设计的控制器的增益矩阵也可由LMI的可行解构造。

If some free parameters are chosen , the matrix inequality can be translated into LMI , and the control gain matrix can be constructed via the feasible solutions of the LMI .

采用迭代LMI方法，求得自适应观测器增益矩阵，保证观测器稳定性。

On the basis of methods which analysis poles and LMI , using iterative LMI method , then the adaptive observer gain matrix was obtained , and the stability of the observer was guaranteed .

针对含有输入未建模动态的一类MIMO系统，在高频增益矩阵的顺序主子式的符号已知的前提下，给出了多变量自适应反推控制器的设计。

For a class of MIMO systems with input unmodeled dynamics , under the assumption that the signs of the leading principal minors of the high-frequency gain matrix are known , a design of multivariable adaptive backstepping controller is given .

本文分析了发散的原因，并采用RBF网络调整状态向量的预测值与滤波估计的差值、测量值与滤波估计的差值以及增益矩阵，使系统输出的误差减小，从而有效避免输出发散。

This dissertation analyses the reason of divergence , and makes use of RBF network to adjust residual between predictive value of state vector and filtering estimated value , and gain matrix to minish output error and avoid output convergence .

观测器的状态和增益矩阵通过参数的线性插值得到，估计误差通过仿射参数独立的Lyapunov函数确定，且系统重构误差是仿射二次稳定的。

The state and gain matrices of the observer are derived by using linear interpolation approach . The stability of the estimation error is based on the existence of an affine parameter-dependent Lyapunov function and the restructure error is affine quadratic stable .

同时保证了Sylvester方程的解矩阵的可逆性和观测器的增益矩阵与输入矩阵范数的和最小；

This method can guarantee the solution matrix of Sylvester equation to be inverse and the sum of the input gain norm and the observer gain norm is the minimum .

利用实对称矩阵的最小上界定理、H∞理论和LMI方法，对于一类具有不确定性和非线性扰动的时滞关联大系统，设计了具有较小反馈增益矩阵分散稳定化控制器。

By utilizing the minimum super-bound theorem of the real symmetric matrix , Hx theory and LMI method , a decentralized stabilizing state feedback controller with smaller feedback gains matrix for a class of large-scale interconnected time-delay systems with uncertainty and nonlinear perturbations is designed .

本文提出了多业务CDMA蜂窝移动通信系统的一种下行链路功率控制策略，系统的最优功率分配可以归结为求解归一化链路增益矩阵在有约束条件下的最大实特征值。

S : A power control scheme for the downlink in multi-service CDMA cellular mobile systems is proposed in this paper . Optimal power allocation for multi-service CDMA cellular system can be considered as getting the maximum real eigenvalue of the normalized link gain matrices .

在优化目标选择方面，为降低控制系统的能量，以控制增益矩阵的Frobenius范数做为优化目标；

On the optimum objects choice hand , in order to reduce control system energy , the Frobenius norm of the control matrix is chosen as optimum objects of system control ;

基于一类广义Sylvester矩阵方程的解，提出了二阶线性系统的全维PI观测器设计参数化方法，给出了该类观测器的增益矩阵和左特征向量矩阵的参数化表达式。

Based on the solutions to a kind of generalized Sylvester equations , a parametric method to design full-order PI observers is proposed . The parametric expressions for the gain matrices and the left eigenvector matrix of the full-order PI observers are presented .

利用控制理论中的相对增益矩阵（RGA）方法对统一潮流控制器（UPFC）的多个控制回路问的耦合程度进行了定量分析，确定了UPFC的最佳变量配对关系。

Using relative gain array ( RGA ) method in control theory , the interaction among multiple control loops of unified power flow controller ( UPFC ) is quantitatively analyzed and the best variable pairs of UPFC are determined .