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A nonlinear system filter design method based on a self-adaption event triggering mechanism

A nonlinear system, event-triggered technology, applied in CAD circuit design, instrumentation, calculation, etc., can solve the problem of not getting proper attention, and achieve the effect of saving data transmission consumption and improving applicability

Active Publication Date: 2017-09-15
NANJING NORMAL UNIVERSITY
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Problems solved by technology

Furthermore, the problem of adaptive event-triggered filters for time-varying stochastic systems with probability constraints has not received proper attention, let alone when state constraints\stochastic nonlinearity and state multiplicative noise coexist

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  • A nonlinear system filter design method based on a self-adaption event triggering mechanism
  • A nonlinear system filter design method based on a self-adaption event triggering mechanism
  • A nonlinear system filter design method based on a self-adaption event triggering mechanism

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Embodiment Construction

[0046] The technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0047] The design method of the nonlinear system filter based on the adaptive event trigger mechanism proposed by the present invention, the basic flow is as follows figure 1 shown.

[0048] The following lemma proposes a way to replace probabilistic elliptic constraints by multidimensional Chebyshev constraints.

[0049] Lemma: For a known matrix G>0 and a vector b with corresponding dimension, define an ellipsoid ε:

[0050] ε:={z|(z-d) T G(z-d)≤1} (9)

[0051] in is a free variable if the following inequality holds

[0052] E{(z-d) T G(z-d)}≤1-p (10)

[0053] but

[0054] Pr(z∈ε)≥p (11)

[0055] Using the lemma, one can get

[0056] if E{c k T P k -1 c k}≤1-p (12)

[0057] holds, then the probability constraint (6) is satisfied.

[0058] By using mathematical induction, we will derive sufficient conditions for k∈N such ...

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Abstract

The invention provides a nonlinear system filter design method based on a self-adaption event triggering mechanism. The method comprises the steps of firstly building a state equation of a non-linear system; setting self-adaption event triggering conditions; building a filter model and a system error model of the non-linear system and obtaining an optimal filter of the non-linear system. The method employs the self-adaption event triggering mechanism for the non-linear system which is characterized by random nonlinearity, multiplicative noise and state constraints, so that the performance of filters is improved.

Description

technical field [0001] The invention belongs to the technical field of internal communication methods of nonlinear systems, and in particular relates to a design method of nonlinear system filters under probability constraint indexes. Background technique [0002] The problem of filtering or estimation of systems has attracted considerable research interest over the past few decades due to engineering insights in object tracking, navigation, signal processing, and control design. Many excellent filtering methods have been proposed to minimize / limit estimation errors and other system performance. For example, the H∞ filtering method can minimize the highest energy gain of the estimation error for all kinds of energy-bounded noise. The filter gain designed by the variance constrained filtering method can minimize the variance of the estimation error or be within an acceptable level. However, most of the filtering problems mentioned above have an assumption that the goal of t...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/30
Inventor 田恩刚李鹃王檑梁程
Owner NANJING NORMAL UNIVERSITY
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