Method for designing filter of multi-birth uncertain singular network system

Abstract

The invention relates to the technical field of filter design, and discloses a method for designing a filter of a multi-birth uncertain singular network system, which comprises the following steps of: exporting a network model of the filter of the multi-birth uncertain singular network system; wherein a relaxation matrix variable proves that the network model is permissible in performance; proving that the network model is asymptotically stable, regular and causal through a Lyapunov function method; wherein a sufficiency criterion that the error model is allowed and has an H infinity performance index is given; applying filter equivalence method, designing a gain matrix of a corresponding filter under event driving to acquire an event-driven robust filter and the method greatly reduces communication resources, has certain anti-interference capability, greatly reduces broadband resources and operation cost, and further greatly saves network communication cost.

Description

technical field [0001] The invention relates to the technical field of filter design, in particular to a filter design method for a multiple-birth uncertain singular network system. Background technique [0002] Singular systems have been widely used in power systems, robot systems, electronic circuits, economic systems, etc. Singular systems are divided into continuous singular systems and discrete singular systems. In 1974, the British scholar Rosenbrock studied the decoupling zeros of singular systems and the first equivalence of systems, and proposed the concept of singular systems for the first time. Subsequently, Luenberger explored the existence and uniqueness of the solution of the singular linear system; Cobb proposed the controllability, observability and duality theory of the singular system; Dai summarized the basic theory of the singular system in 1989, marking the formation of the singular system theory . Singular systems are divided into linear singular syst...

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Problems solved by technology

The filtering design based on the event-driven network is also focused on the linear system, focusing on self-triggering and periodic sampling. Many unnecessary data collected by the sensor need to be passed to the filter through the network. The collected useless data takes up a lot of memory and takes up many Broadband resources waste resources, consume energy, and reduce work efficiency

At present, the studies on the singular system of multiple births are mainly limited to the stability analysis of the system, the H ∞ Control and state estimation problems, the state estimation and filter design of the multi-birth singular system under the event-driven mechanism have not been reported. At present, the filter design of the linear discrete singular network system mainly focuses on the multi-birth system under the non-event-driven mechanism. Filtering design, according to the periodic sampling strategy, the sensor needs to sample the time series according to the period, and sample, store and analyze all the data, which greatly wastes the network consumption, increases the consumption of network resources, and increases the network operation cost

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