NGMV control of state dependent multivariable systems
NGMV control of state dependent multivariable systems
复制标题
状态相关多变量系统的 NGMV 控制
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
Y. Pang
中科院分区：
文献类型：
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作者：
M. Grimble;Y. Pang
针对非线性多变量系统的控制问题，导出了一种非线性广义最小方差控制律。利用包含三种不同类型子系统的过程模型得到了控制律的解，从而提供了多种系统建模方法。这些可能并不都存在。第一个子系统包含一个非常一般形式的非线性算子。其次是状态相关的状态方程模型，最后是线性状态方程模型，表示输出子系统、干扰和参考模型。假设该过程包括输入或输出通道中k量级的常见延迟。二次型成本指数涉及状态、误差和控制信号成本项。得到的控制器很容易实现，特别是在一种形式中，它可以被认为是史密斯预测器的非线性状态依赖版本。
A nonlinear generalized minimum variance control law is derived for the control of nonlinear multivariable systems. The solution for the control law is obtained using a model for the process that includes three different types of subsystem to provide a variety of means of modeling the system. These may not all be present. The first subsystem involves a nonlinear operator of very general form. The second is a state dependent, state equation model of the plant and finally a linear state-equation model represents the output subsystem, disturbance and reference models. The process is assumed to include common delays in input or output channels of magnitude k. The quadratic like cost index involves state, error and control signal costing terms. The controller obtained is simple to implement, particularly in one form, which might be considered a nonlinear state-dependent version of the Smith predictor.