Minimum norm stabilization method for singular vibration system based on initial value condition

Abstract

The invention provides a minimum norm stabilization method for a singular vibration system based on initial value condition. The method is used for solving the stabilization problem of part of unstable characteristic values in a singular vibration system. The method comprises the steps that firstly, an acceleration-speed-displacement controller is designed for a differential system model of the singular vibration system, and a closed-loop singular vibration system characteristic equation set is obtained through a controller; secondly, the characteristic equation set is converted into a linear matrix equation set containing acceleration-speed-displacement controller gain, a stabilized characteristic structure and a stable characteristic structure; then, a new iteration sequence and an initial value condition set are constructed; and finally, according to the initial value condition set, the optimal solution of the linear matrix equation set is calculated through the new iteration sequence, and the optimal solution is the minimum norm solution for stabilizing the singular vibration system. According to the method, under the condition of a specific initial value, the norm of the controller is minimum, and energy can be optimally utilized while a control target is achieved.

Description

technical field [0001] The invention relates to the technical field of stabilization of singular vibration systems, in particular to a minimum norm stabilization method for singular vibration systems based on initial value conditions. Background technique [0002] With the development and improvement of generalized system theory, modern control technology has produced huge economic value in practical application. As a branch of modern control technology, vibration system stabilization method is an in-depth study of generalized system theory. Singular vibration system contains impulsive behavior due to the infinite zero point. The impulsive behavior of the singular vibration system has a great destructive effect, especially the unstable characteristics, which hinders the practical application of the vibration system. Therefore, the stabilization of the singular vibration system is an urgent technical problem to be solved. [0003] Partial eigenstructure configuration metho...

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Problems solved by technology

[0005] In view of the deficiencies in the above-mentioned background technology, the present invention proposes a minimum norm stabilization method for a singular vibration system based on initial value conditions, and solves the problem of partial characteristic structure configuration of a singular vibration system through an active controller

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