TY - CHAP

T1 - A Sliding Mode Control with a Bang-Bang Observer for Detection of Particle Pollution

AU - Schimmack, Manuel

AU - Mercorelli, Paolo

PY - 2016

Y1 - 2016

N2 - This chapter presents a single-input single-output (SISO) adaptive sliding mode control combined with an adaptive bang-bang observer to improve a metal-polymer composite sensor system. The proposed techniques improve the disturbance rejection of a sensor system and thus their reliability in an industrial environment. The industrial application is based on the workplace particulate pollution of welding fumes. Breathing welding fumes is extremely detrimental to human health and exposes the lungs to great hazards, therefore an effective ventilation system is essential. Typically, sliding mode control is applied in actuator control. In this sense, the proposed application is an innovative one. It seeks to improve the performance of sensors in terms of robustness with respect to parametric uncertainties and in terms of insensibility with respect to disturbances. In particular, a sufficient condition to obtain an asymptotic robustness of the estimation of the proposed bang-bang observer is designed and substantiated. The whole control scheme is designed using the well-known Lyapunov approach. A particular sliding surface is defined to obtain the inductive voltage as a controlled output. The adaptation is performed using scalar factors of the input-output data with the assistance of an output error model. A general identification technique is obtained through scaling data. To obtain this data, recursive least squares (RLS) methods are used to estimate the parameters of a linear model using input-output scaling factors. In order to estimate the parametric values in the small-scale range, the input signal requires a high frequency and thus a high sampling rate is needed. Through this proposed technique, a broader sampling rate and input signal with lowfrequency can be used to identify the small-scale parameters that characterise the linear model. The results indicate that the proposed algorithm is practical and robust.

AB - This chapter presents a single-input single-output (SISO) adaptive sliding mode control combined with an adaptive bang-bang observer to improve a metal-polymer composite sensor system. The proposed techniques improve the disturbance rejection of a sensor system and thus their reliability in an industrial environment. The industrial application is based on the workplace particulate pollution of welding fumes. Breathing welding fumes is extremely detrimental to human health and exposes the lungs to great hazards, therefore an effective ventilation system is essential. Typically, sliding mode control is applied in actuator control. In this sense, the proposed application is an innovative one. It seeks to improve the performance of sensors in terms of robustness with respect to parametric uncertainties and in terms of insensibility with respect to disturbances. In particular, a sufficient condition to obtain an asymptotic robustness of the estimation of the proposed bang-bang observer is designed and substantiated. The whole control scheme is designed using the well-known Lyapunov approach. A particular sliding surface is defined to obtain the inductive voltage as a controlled output. The adaptation is performed using scalar factors of the input-output data with the assistance of an output error model. A general identification technique is obtained through scaling data. To obtain this data, recursive least squares (RLS) methods are used to estimate the parameters of a linear model using input-output scaling factors. In order to estimate the parametric values in the small-scale range, the input signal requires a high frequency and thus a high sampling rate is needed. Through this proposed technique, a broader sampling rate and input signal with lowfrequency can be used to identify the small-scale parameters that characterise the linear model. The results indicate that the proposed algorithm is practical and robust.

KW - Engineering

KW - Vibration

KW - Dynamical Systems

KW - Control Calculus of Variations and Optimal Control

KW - Optimization Simulation and Modeling Computational Mathematics and Numerical Analysis Control

UR - http://www.scopus.com/inward/record.url?scp=85002179276&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-31539-3_5

DO - 10.1007/978-3-319-31539-3_5

M3 - Contributions to collected editions/anthologies

SN - 978-3-319-31537-9

T3 - Mathematical Engineering

SP - 125

EP - 153

BT - Variable-Structure Approaches

A2 - Rauh, Andreas

A2 - Senkel, Luise

PB - Springer

CY - Cham

ER -