Dynamic output feedback anti-interference control method for positive system based on positive full-dimensional observer

A technology of dynamic output and control method, which is applied in the direction of adaptive control, general control system, control/regulation system, etc., and can solve the problem of unmeasurable state

Inactive Publication Date: 2018-08-10
BEIHANG UNIV
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Problems solved by technology

[0004] The technical problem to be solved by the present invention is: considering the positive system object, aiming at the unmeasurable state and complex interference in engineering pra

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  • Dynamic output feedback anti-interference control method for positive system based on positive full-dimensional observer
  • Dynamic output feedback anti-interference control method for positive system based on positive full-dimensional observer
  • Dynamic output feedback anti-interference control method for positive system based on positive full-dimensional observer

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Embodiment Construction

[0052] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

[0053] The present invention is a positive system dynamic output feedback anti-interference control method based on a positive full-dimensional observer, which specifically includes the following steps:

[0054] In the first step, for a linear continuous positive system with external disturbance,

[0055]

[0056] in, with They are the state of the system, the control input, the external disturbance of the control input channel, the control output and the measurement output, with is the known dimensionality parameter matrix of the system, and A is the Metzler matrix, B, C, D and C m is a non-negative matrix, where, if there is a matrix have M ij ≥0,i,j=1,...,n, then the matrix M is called a Metzler matrix, expressed as If there is a matrix has the form N ij >0,i=1,...,m j=1,...,n, then the matrix N is called a non-negative ...

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Abstract

The invention relates to a dynamic output feedback anti-interference control method for a positive system based on a positive full-dimensional observer. The method comprises the steps: firstly takinga system state and interference as an augmented state for a linear continuous positive system comprising external interference, and obtaining a positive augmented system; secondly designing the positive full-dimensional observer which can maintain a positive state observation value for the positive augmented system; thirdly designing a positive system dynamic output feedback anti-interference control law with the interference cancellation effect based on an estimation quantity obtained by the full-dimensional observer; and finally taking a linear combination of the original positive system state, a state estimation error and an interference estimation error as a state variable, obtaining a closed-loop system, giving a condition that the closed-loop system is an asymptotically stable positive system based on a linear copositive Lyapunov function, and resolving the parameters of a controller and the observer through a linear planning algorithm. The method can be used for solving a problem of stable control under the condition that the positive system has complex interference and a system state cannot be obtained through measurement.

Description

technical field [0001] The invention relates to a dynamic output feedback anti-interference control method of a positive system based on a positive full-dimensional observer. This method can be used for the stability control problem that the positive system has complex interference and cannot be measured to obtain the system state and has certain requirements on the system poles. . Background technique [0002] Positive systems are systems that require system variables and system outputs to always be non-negative. This type of system has important applications in many fields. In fields including economics, social science, biomedicine, etc., the state of the object of analysis and research usually has a non-negative property, such as the concept of probability in economics, population in social science, and concentration dose in biomedicine. , especially suitable for describing it by applying positive system-related concepts. In the actual positive system control task, the ...

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 乔建忠许昱涵郭雷朱玉凯崔洋洋
Owner BEIHANG UNIV
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