Abstract

In this paper, we propose a novel parameter estimation scheme for bilinear digital systems based on using the differential evolution (DE) algorithm. The DE algorithm is one of evolutionary computations and is fully with real-valued operations during the optimization. It has been proven to be an excellent searching algorithm in solving a variety of practical engineering optimization problems. With the use of the DE algorithm, the parameter estimation problem especially for the bilinear digital system is considered. By minimizing the error signal between the actual output and model output, the system coefficients can accurately be estimated. Finally, a large number of independent runs with different sets of initial conditions are examined to confirm the algorithm’s robustness and feasibility.

Highlights

  • In recent years, many related researches and applications about the bilinear digital system have been developed and investigated such as nonlinear system modeling(1), parameter estimation(2,3), system identification(4-6), and multichannel active control(7)

  • Many related researches and applications about the bilinear digital system have been developed and investigated such as nonlinear system modeling(1), parameter estimation(2,3), system identification(4-6), and multichannel active control(7). It is a nonlinear system and is an extended version of a digital recursive filter, infinite impulse response (IIR) filter, which consists of three different kinds of series: input signals, output signals, and products of input and output signals

  • Its modeling capacity is absolutely superior to the original IIR digital system, and the complexity to design the bilinear digital system is more difficult than the IIR due to the nonlinearity

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Summary

Introduction

Many related researches and applications about the bilinear digital system have been developed and investigated such as nonlinear system modeling(1), parameter estimation(2,3), system identification(4-6), and multichannel active control(7). It is a nonlinear system and is an extended version of a digital recursive filter, infinite impulse response (IIR) filter, which consists of three different kinds of series: input signals, output signals, and products of input and output signals. To estimate the parameters of bilinear digital system, this paper is to utilize the differential evolution (DE) algorithm which belongs to one of evolutionary computations. This algorithm is a powerful and efficient searching means to solving the optimized problems.

Bilinear digital system
DE-based parameter estimations
Conclusions

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