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Stabilization conditions in the form of linear matrix inequality are established.

建立了可由线性矩阵不等式表示的镇定条件。

Based on the PFLF approach, a stability analysis and guaranteed cost control design method is derived in the form of linear inequality matrix.

基于 PFLF 方法,得到了线性矩阵不等式形式的模糊系统分析与设计的求解方法。

Hydraulic servos ; Robust H2/H∞ control ; Linear fractional transformation; Linear matrix inequalities

液压伺服;鲁棒控制H_2/H_∞;线性分式变换;线性矩阵不等式

Using the linear fractional transformation for the system model, the controller was designed based on H2/H∞ control by the method of linear matrix inequalities for the uncertain parameter and external disturbance in hydraulic servos.

针对液压伺服系统中参数时变和外界干扰的特点,通过运用线性分式变换得出系统的传递函数,运用线性矩阵不等式处理方法,设计出基于H_2/H_∞控制的控制器。

Using this method, the controller design for performance and robustness can be designed separately, which has the potential to overcome the conflict between performance and robustness in the traditional feedback framework. Third, to make the vehicle meet the performance index in full flight envelop, a H∞ gain-scheduled controller based on Linear Varying Parameter system are designed. A LPV plant with a linear fractional dependent variable can be represented by upper LFT (Linear Fractional Transformation) interconnection.

通过把非线性系统简化为了线性变参数系统,再有通过线性分式变换将LPV系统转化为一个线性定常系统和不确定性组成的LFT互联形式,使之转换成为一个经典鲁棒控制问题,然后通过求解一组线性矩阵不等式得到变增益H_∞控制器。

Solving linear programming problems in a linear equation group inequalities or the condition of a linear function for the most value problem.

求解线性规划问题,即在一组线性不等式或等式组的约束条件下求某个线性函数的最值问题。

Furthermore, the design problem of the suboptimal guaranteed cost controller is turned into a convex optimization problem with linear matrix inequalities constraints.

在此基础上,将次优保性能控制器设计问题转化为一组线性矩阵不等式约束下的凸优化问题。

Based on the proposed performance criterion, a sufficient condition for the existence of gain-scheduled H2/H(subscript ∞) filter is derived. Furthermore, the filter design problem is converted into a convex optimization problem with linear matrix inequality constraints.

基于该性能准则,推导了变增益H2/H滤波器存在的充分条件,并将滤波器设计问题转化为具有线性矩阵不等式约束的凸优化问题。

A trust region algorithm for special linear inequality constrained optimization problems is proposed in chapter two.

第二章对一类特殊的线性不等式约束优化问题提出了一种修正的信赖域算法。

Particle swarm optimization and linear matrix inequality were used for the design of input-constrained nonlinear predictive controller .

将微粒群算法与线性矩阵不等式用于输入受限非线性预测控制器的设计,提出了基于PSO与LMI联合优化的非线性预测控制算法。

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