The primary concern of the present paper is the regulation of an uncertain wave process with collocated boundary sensing and Neumann-type actuation. It exhibits an unknown constant elasticity parameter and it is affected by a boundary disturbance, which is bounded in magnitude. The proposed robust synthesis is formed by the combination between linear PD-type control action and the Twisting second order sliding mode control algorithm. It is applied here to achieve the global asymptotic stabilization of an infinite dimensional system in a suitable Sobolev space. The proposed boundary control algorithm is also applied to design an observer for a wave PDE of the same type as that dealt with in the boundary controller design. The effectiveness of the developed controller scheme is supported by simulation results.

Boundary control and observer design for an uncertain wave process by second-order sliding-mode technique

PISANO, ALESSANDRO;USAI, ELIO
2013

Abstract

The primary concern of the present paper is the regulation of an uncertain wave process with collocated boundary sensing and Neumann-type actuation. It exhibits an unknown constant elasticity parameter and it is affected by a boundary disturbance, which is bounded in magnitude. The proposed robust synthesis is formed by the combination between linear PD-type control action and the Twisting second order sliding mode control algorithm. It is applied here to achieve the global asymptotic stabilization of an infinite dimensional system in a suitable Sobolev space. The proposed boundary control algorithm is also applied to design an observer for a wave PDE of the same type as that dealt with in the boundary controller design. The effectiveness of the developed controller scheme is supported by simulation results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/108809
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