Direct-current motor finite time control method and system based on inhomogeneous Markov model

Abstract

The invention discloses a direct-current motor finite time control method based on an inhomogeneous Markov model. The method includes following steps: collecting running parameters of a direct-currentmotor in various working conditions; according to the running parameters, establishing a mapping relation between direct-current motor working condition jumping and an inhomogeneous Markov chain; onthe basis of the mapping relation, establishing a direct-current motor system state equation based on the inhomogeneous Markov model and building a controller based on a full-dimensional observer; establishing an augmentation closed-loop system equation containing direct-current motor system state and observer state; according to the direct-current motor system state equation, determining a criterion judging that the direct-current motor is stable and bounded in finite time; utilizing a LMI toolkit in MATLAB to solve upper bound when an augmentation closed-loop system meets the criterion; outputting the upper bound with bounded finite time of the augmentation closed-loop system. By the method, stability of the direct-current motor can be improved effectively, control effect worsening of the direct-current motor under impact of adverse factors like complex and severe environment can be prevented, and stable running of the direct-current motor is ensured.

Description

technical field [0001] The invention relates to the technical field of power electronics, in particular to a finite-time control method and system for a DC motor based on a non-homogeneous Markov model. Background technique [0002] In practical engineering applications, the DC motor may have sudden changes in parameters or structure due to some factors (such as component wear, harsh environment, load changes, etc.), resulting in poor control effect of the controller, or even out of control. Therefore, there is an urgent need Research new DC motor control methods. [0003] Dynamic systems in which DC motors exhibit sudden changes in parameters or structure have received great attention in the past few decades. As a method that can effectively characterize such dynamic systems, Markovian jump systems have gained extensive research interest in both practical and theoretical fields. So far, many fundamental studies have been done on the control and filtering problems of Marko...

AI Technical Summary

Problems solved by technology

However, in the existing technology, there has not been a technology that can solve the control effect of DC motors under the influence of adverse factors such as complex and harsh environments within a limited time.

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