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What is Particle Filter (PF)

Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics
PF, which is based on Bayesian estimation, is a sequential Monte Carlo state estimation method for nonlinear and non-Gaussian systems. The EKF algorithm does not always provide a satisfactory performance, especially for highly nonlinear processes as model linearization does not necessarily provide good estimates of the mean of the state vector and the covariance matrix of the estimation error, which are used in state estimation. These issues are addressed by the PF.
Published in Chapter:
Modeling and Monitoring of Chemical System: CSTR Model
Majdi Mansouri (Texas A&M University at Qatar, Qatar), Hazem Numan Nounou (Texas A&M University at Qatar, Qatar), and Mohamed Numan Nounou (Texas A&M University at Qatar, Qatar)
DOI: 10.4018/978-1-4666-9644-0.ch032
Abstract
This chapter addresses the problem of time-varying nonlinear modeling and monitoring of a continuously stirred tank reactor (CSTR) process using state estimation techniques. These techniques include the extended Kalman filter (EKF), particle filter (PF), and the more recently the variational Bayesian filter (VBF). The objectives of this chapter are threefold. The first objective is to use the variational Bayesian filter with better proposal distribution for nonlinear states and parameters estimation. The second objective is to extend the state and parameter estimation techniques to better handle nonlinear and non-Gaussian processes without a priori state information, by utilizing a time-varying assumption of statistical parameters. The third objective is to apply the state estimation techniques EKF, PF and VBF for time-varying nonlinear modeling and monitoring of CSTR process. The estimation performance is evaluated on a synthetic example in terms of estimation accuracy, root mean square error and execution times.
Full Text Chapter Download: US $37.50 Add to Cart
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Non Linear and Non Gaussian States and Parameters Estimation using Bayesian Methods-Comparatives Studies
PF, which is based on Bayesian estimation, is a sequential Monte Carlo state estimation method for nonlinear and non-Gaussian systems. The EKF and UKF algorithms do not always provide a satisfactory performance, especially for highly nonlinear processes as model linearization does not necessarily provide good estimates of the mean of the state vector and the covariance matrix of the estimation error, which are used in state estimation. These issues are addressed by the PF.
Full Text Chapter Download: US $37.50 Add to Cart
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