Distributed dimension reduction observer design method of linear time-invariant system

A dimensionality reduction observer and design method technology, applied in design optimization/simulation, complex mathematical operations, special data processing applications, etc., can solve problems such as increasing the difficulty of observer design and destroying system detectability

Active Publication Date: 2020-12-08
NANJING UNIV OF POSTS & TELECOMM
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Problems solved by technology

The acquisition of this partial output information destroys the detectability of the system under the ori

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  • Distributed dimension reduction observer design method of linear time-invariant system
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  • Distributed dimension reduction observer design method of linear time-invariant system

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[0059] Below in conjunction with accompanying drawing, technical scheme of the present invention is described in further detail:

[0060] The present invention proposes a distributed dimensionality reduction observer design method for a linear time-invariant system, such as figure 1 As shown, it specifically includes the following steps:

[0061] S1: Determine the output matrix of each sensor, and detectably decompose the matrix pair formed by the output matrix and the system matrix of the target LTI system.

[0062] The detectable decomposition of each sensor is performed to obtain the detectable and undetectable subsystems of each sensor:

[0063]

[0064] the y i (t)=C i x(t),

[0065] in, is the state of the system, is the measured output, p i is the output matrix C i rank, and satisfies Here we use Represents a matrix of dimension m×n in Euclidean space. According to the detectability decomposition of the system, we get (C i , the undetectable subspace ...

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Abstract

The invention discloses a distributed dimension reduction observer design method of a linear time-invariant system. The method comprises the steps: realizing the state estimation of a target LTI system by using a plurality of distributed communication sensors, wherein each sensor can only acquire part of output information of the target LTI system; determining an output matrix of each sensor, andperforming detectable decomposition on a matrix pair formed by the output matrix and a system matrix of the target LTI system; designing a distributed dimension reduction observer for each sensor based on distributed information interaction between the sensors; giving a sufficient condition containing topological information to ensure the existence of the distributed dimension reduction observer;and further, designing a fully distributed dimension reduction observer by using an adaptive strategy. According to the method, the design of the distributed observer of the LTI system is simplified,the dimensionality of the distributed observer is reduced, the dependence of the design of the distributed dimension reduction observer on global topological information is avoided, and the method hasbetter flexibility.

Description

technical field [0001] The invention belongs to the field of distributed observers, and in particular relates to a design method for a distributed dimensionality reduction observer of a linear time invariant (LTI) system. Background technique [0002] State estimation is an important research content in control theory, which mainly realizes the estimation of system state information according to the output information of the system. The traditional state estimation research is mainly to design the observer according to the complete output information of the system under the assumption that the system can be detected, so as to realize the estimation of the real state of the system. However, in actual engineering, there are some targets with a relatively large geographical range, such as the measurement of temperature and humidity in large factories, the detection of irrigation conditions in remote locations, and the collection of related data from solar fields. Measurement e...

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Application Information

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IPC IPC(8): G06F30/20G06F17/16
CPCG06F30/20G06F17/16
Inventor 王晓玲苏厚胜方荣蒋国平
Owner NANJING UNIV OF POSTS & TELECOMM
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