A diffusion equation perturbed by uncertain disturbances of both matching and unmatching nature is considered. The problem of disturbance attenuation is tackled by means of the sliding-mode control approach. It is assumed that only a finite number of pointwise sensing and actuation devices, suitably located in an equi-spaced manner along the spatial domain of interest, is available. We show that an arbitrary level of the unmatching disturbance attenuation can be achieved by employing a sufficiently high number of sensing and actuation devices. We also show that matching disturbances entering the control channels can be fully rejected by the proposed design.

Disturbance attenuation in nonlinear perturbed diffusion processes by sampled-in-space sensing and actuation

PISANO, ALESSANDRO;
2014

Abstract

A diffusion equation perturbed by uncertain disturbances of both matching and unmatching nature is considered. The problem of disturbance attenuation is tackled by means of the sliding-mode control approach. It is assumed that only a finite number of pointwise sensing and actuation devices, suitably located in an equi-spaced manner along the spatial domain of interest, is available. We show that an arbitrary level of the unmatching disturbance attenuation can be achieved by employing a sufficiently high number of sensing and actuation devices. We also show that matching disturbances entering the control channels can be fully rejected by the proposed design.
978-1-4799-7746-8
Collocated actuation and sensing; Diffusion equation; Pointwise actuation; Control and Systems Engineering; Modeling and Simulation; Control and Optimization
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/136584
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