Maximum Likelihood Identification of Bilinear Systems

نویسندگان

  • Stuart Gibson
  • Brett M. Ninness
چکیده

This paper considers the problem of estimating the parameters of a bilinear system from input-output measurements. A novel approach to this problem is proposed, one based upon the so-called Expectation Maximisation algorithm, wherein maximum likelihood estimates are generated iteratively without the need for a gradient-based search algorithm. This simple method is shown to perform well in simulation and it allows a multivariable bilinear system to be estimated directly in state-space form without the need for explicit parameterisation.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Two Papers on Bilinear Systems : a ) A Study of Second - and Third - order Spectral Procedures and Maximum Likelihood

This paper describes a comparative investigation of two spectral momentbased identification procedures with each other and with the method of maximum likelihood. The case considered is that of a bilinear system. Analyses making use of secondand third-order moments are presented. Inputs investigated are pulse, pulsepair and stochastic. Some of the relative advantages and disadvantages of each es...

متن کامل

Maximum Likelihood Estimation of a Unit Root Bilinear Model with an Application to Prices

We estimate a unit root bilinear process using the Maximum Likelihood method with log-likelihood function constructed by means of the Kalman filter, and evaluate the finite sample properties of this estimator. One hundred and six world-wide price series are tested for unit root bilinearity applying the test suggested by Charemza et al. (2002b). Applying the Maximum Likelihood estimator based on...

متن کامل

The Development of Maximum Likelihood Estimation Approaches for Adaptive Estimation of Free Speed and Critical Density in Vehicle Freeways

The performance of many traffic control strategies depends on how much the traffic flow models have been accurately calibrated. One of the most applicable traffic flow model in traffic control and management is LWR or METANET model. Practically, key parameters in LWR model, including free flow speed and critical density, are parameterized using flow and speed measurements gathered by inductive ...

متن کامل

Identification of Linear, Parameter Varying, and Nonlinear Systems: Theory, Computation, and Applications

In this workshop, the powerful subspace identification method (SIM) is described for the well understood case of linear time-invariant (LTI) systems. Recent extensions are show for linear parameter-varying (LPV), Quasi-LPV, and general nonlinear (NL) systems such as polynomial systems. The presentation, following the extended tutorial paper (Larimore, ACC2013), includes detailed conceptual deve...

متن کامل

On Symmetric Algorithms for Bilinear Forms over Finite Fields

In this paper we study the computation of symmetric systems of bilinear forms over finite fields via symmetric bilinear algorithms. We show that, in general, the symmetric complexity of a system is upper bounded by a constant multiple of the bilinear complexity; we characterize symmetric algorithms in terms of the cosets of a specific cyclic code, and we show that the problem of finding an opti...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001