Design method of distributed k-order filter for communication topology random switching

Abstract

The invention relates to a design method of a distributed k-order filter for communication topology random switching, and the method comprises the following steps: in a wireless sensor network environment, aiming at a linear time-varying system, modeling communication network random switching of the filter by utilizing a Markov theory, and designing a distributed robust k-order filter with topological structure random switching; regulating and controlling the order of the filter network by a parameter E to obtain a filter network distributed full-order filter and a distributed reduced-order filter with communication topology random switching; enabling the distributed filter of the linear time-invariant system to calculate the filtering gain of the whole network offline at one time, and calculating the gain of the distributed robust filter of the time-varying system online in real time by a group of LMIs. The method has the advantages that 1, a distributed robust k-order filter with topological structure random switching is designed; 2, the mean square index is stable, and the error peak value of the filter network does not exceed a given value;.

Description

technical field [0001] The invention belongs to the field of multi-sensor fusion, and in particular relates to the design of a distributed k-order filter based on the Markov description communication topology. Background technique [0002] With the development of sensor network technology, distributed filtering or state estimation of sensor networks, as a basic problem in the field of control systems and signal processing, has received extensive attention. Different from traditional single-node filtering, distributed filter estimation is used The state of the system, each filter is not only based on its own estimation and measurement information, but also utilizes information from neighboring nodes in the network topology. [0003] Common distributed filter design, one is based on the traditional Kalman filter theory to study the design method of distributed filter. The other is to use H ∞ Filtering techniques are introduced into the design of distributed filters for sensor...

AI Technical Summary

Problems solved by technology

At present, some research results have considered the topology random switching problem in the design of distributed robust filters, but the current scheme mainly focuses on the analysis of linear time-invariant systems, and the designed filter is a full-order filter

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