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Design method of singular semi-Markov discontinuous jump system controller based on PD feedback

A technology of jump system and design method, applied in the direction of controller with specific characteristics, electric controller, etc., to achieve the effect of easy calculation and solution and avoidance of constraints

Active Publication Date: 2021-06-25
LIAONING UNIVERSITY OF PETROLEUM AND CHEMICAL TECHNOLOGY
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Problems solved by technology

[0004] In order to solve the problems existing in the singular system in the prior art, the present invention proposes a controller design method for a singular half-horse discontinuous jump system based on PD feedback

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  • Design method of singular semi-Markov discontinuous jump system controller based on PD feedback
  • Design method of singular semi-Markov discontinuous jump system controller based on PD feedback
  • Design method of singular semi-Markov discontinuous jump system controller based on PD feedback

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Embodiment Construction

[0084] The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some of the embodiments of the present invention, not all of them.

[0085] refer to Figure 1-3 , a controller design method for a singular half-horse discontinuous jump system based on PD feedback. Since there is a singular derivative matrix in the singular system, when considering the stability problem, not only the decomposition of the equivalent dynamics needs to be considered, but also the singularity Compatible initial conditions for the system. These two problems pose a very high difficulty to the design of the controller. Based on the method of proportional differential state feedback and the idea of ​​transforming the singular system into a general normal system, the controller is designed to make the system st...

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Abstract

The invention belongs to the technical field of continuous time jump system stability, and particularly relates to a design method of a singular semi-Markov discontinuous jump system controller based on PD feedback, which comprises the following step of establishing a continuous time singular discontinuous jump system. A singular derivative matrix E eta (t) exists in the system, and the system is described in the specification, wherein the matrixes A eta (t), B eta (t) and Jk are all known constant matrixes, eta (t) is a mode of the system, also represents a random switching signal, meets a semi-Markov updating process, and is valued in a limited set, and eta (t) is also a piecewise constant function, and can be expressed as in the description. The condition of singular semi-Markov discontinuous jump is fully considered, and then the method is popularized to a singular semi-Markov discontinuous jump system and a singular semi-Markov continuous jump system.

Description

technical field [0001] The invention relates to the technical field of continuous time jumping system stability, in particular to a controller design method for a singular half-horse discontinuous jumping system based on PD feedback. Background technique [0002] Singular systems, also known as generalized systems, are usually described by differential equations and algebraic equations. In terms of structure, they have more descriptions of algebraic equations than regular systems that are only described by pure differential equations or difference equations. Since the singular system description has more algebraic equation description parts (fast-varying subsystems) than the normal system, the applicability of the singular system is much wider than that of the normal system. Because singular systems are suitable for describing large-scale and very complex systems, since the 1980s, singular systems have been widely used to describe and control electrical systems, economics, c...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B11/42
CPCG05B11/42Y02P90/02
Inventor 王国良任允帅
Owner LIAONING UNIVERSITY OF PETROLEUM AND CHEMICAL TECHNOLOGY
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