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
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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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