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A Study on Optimal Synthesis of State-Estimate Feedback Digital Controllers

状态估计反馈数字控制器的优化综合研究

基本信息

批准号：
13650489
负责人：
HINAMOTO Takako
金额：
$ 2.3万
依托单位：
Hiroshima University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2003
项目状态：
已结题

项目摘要

1)We proposed a method for designing error feedback coefficients that reduce the output roundoff noise in the closed-loop system with a state-estimate feedback controller implemented by fixed-point arithmetic subject to L2-norm scaling constraints2)In the implementation of a state-estimate feedback controller with the finite word length of fixed-point arithmetic, an L2-sensitivity measure is derived for evaluating the overall sensitivity of a closed-loop transfer function with respect to the state-estimate feedback controller's coefficients by using a pure L2-norm. An iterative procedure is then presented for synthesizing the state-estimate feedback controller's structures that minimize the L2-sensitivity measure.3)The closed-loop system with a state-estimate feedback controller is described, and error feedback circuits are incorporated into the state-estimate feedback controller. The optimal closed-form solutions of error feedback coefficients are presented to minimize the output roundoff noise of the closed-loop system, under L2-norm scaling constraints in the state-estimate feedback controller.4)A measure for evaluating the L2sensitivity of a closed-loop transfer function with respect to the coefficients of a state-estimate feedback controller is presented by using a pure L2 norm and taking into account 0, 1 coefficients. A technique is then developed for synthesizing a state-estimate feedback controller in orthonormal ladder filter structure with several 0 coefficients.5)We developed a method for the optimal design of an error-feedback coefficient matrix and a coordinate transformation matrix that minimize the output roundoff noise in a closed-loop system with a state-estimate feedback digital controller implemented by fixed-point arithmetic subject to L2-norm dynamic-range scaling constraints.

1）我们提出了一种设计误差反馈系数的方法，该方法可以减少闭环系统中的输出舍入噪声，该系统具有由受 L2 范数缩放约束的定点算术实现的状态估计反馈控制器2）在具有定点算术有限字长的状态估计反馈控制器的实现中，导出了 L2 灵敏度测量，用于评估使用纯 L2 范数相对于状态估计反馈控制器系数的闭环传递函数。然后提出了一个迭代过程来综合最小化L2灵敏度测量的状态估计反馈控制器的结构。3)描述了带有状态估计反馈控制器的闭环系统，并将误差反馈电路合并到状态估计反馈控制器中。给出了误差反馈系数的最优闭式解，以在状态估计反馈控制器的L2范数缩放约束下最小化闭环系统的输出舍入噪声。4)通过使用纯L2范数并考虑0、1，提出了评估闭环传递函数相对于状态估计反馈控制器的系数的L2敏感性的方法。系数。然后开发了一种技术，用于在具有多个 0 系数的正交梯形滤波器结构中合成状态估计反馈控制器。 5)我们开发了一种误差反馈系数矩阵和坐标变换矩阵的优化设计方法，该方法可以最小化闭环系统中的输出舍入噪声，状态估计反馈数字控制器由受 L2 范数动态范围约束的定点算法实现规模限制。