Abstract

In this paper, a particle filter design scheme for a robust nonlinear control system of uncertain heat exchange process against noise and communication time delay is presented. The particle filter employs a cluster of particles and associated weights to approximate the posterior distribution of states and is capable of handling nonlinear and non-Gaussian issues. However, when the realistic given noise is much larger than that of the one modeled by the particle filter, the estimated posterior distribution is no longer reliable. Considering that, the exponential weights take the place of the original absolute particle weights in this paper, which act as an adjustment to the particle filter weights for a better state estimation. This adjustment for the weight of the particle filter takes into account the practical significance and can ensure the stability, tracking performance, and continuous operation of the control process incorporated with the particle filter. The simulation verifies the feasibility and usefulness of the method.

Highlights

  • Current control systems integrating communication, calculation, and control into different levels of factory operations and information processing have become the trend of modern military, commercial, and industrial systems [1,2], one of which is the robust nonlinear uncertain heat exchange control system

  • Considering sensor noise and time delay, in order to not redesign the controller, the particle filter algorithm with a weight adjustment is incorporated into the system to estimate the state and predict the output from the measurement that is corrupted by sensor noise and time delay

  • Shows the particle filter with the weight adjustment design scheme of an uncertain heat exchange control system, where GPF is a generic particle filter, WAPF is the particle filter with the weight adjustment, Φ is a time-varying time delay component due to the use of wireless communication, y is the system output and regarded as the measurement value that has not been affected by sensor noise and time delay, y is the output with a random noise and time delay, xand ŷ are the states and output reconstructed by the particle filter from the impaired signal, which will be conveyed to operator S as the feedback signal of the system

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Summary

Introduction

Current control systems integrating communication, calculation, and control into different levels of factory operations and information processing have become the trend of modern military, commercial, and industrial systems [1,2], one of which is the robust nonlinear uncertain heat exchange control system. The particle filter approach has the potential to ease the influence of random noise and time delay and has been successfully applied to some noise attenuation problems [13] and time delay effect mitigation issues [14] In recent systems, such as that of uncertain heat exchange process, to model the underlying dynamics of a physical system accurately, nonlinearity and non-Gaussianity are often considered. A particle filter algorithm is incorporated into a robust nonlinear uncertain heat exchange control system to suppress the control performance degradation caused by random noise, especially large sensor noise, generated on sensors and time delay in wireless communication links. The observation (output) is predicted based on the estimated state values Through such an adjustment, the particle filter algorithm can continue suffering large noise so that the entire control system will not be interrupted and the reliability of the system can be guaranteed.

Generic Particle Filter
Problem Statement
Particle Filter with Weight Adjustment Design for the Compensation of Sensor
Operator Based Control System Design
Particle
Design parameter of S, R
Comparison of Two Methods of Exponential Weight
Tracking Performance of the Particle Filter Design in Overall Control System
Simulation
Conclusions
Full Text
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