A variational approach to second-order approximability of sliding mode control systems

Author: Zolezzi, T.

Source: Optimization, Volume 54, Number 2, April 2005 , pp. 237-237(1)

Buy & download fulltext article:

Price: $56.94 plus tax (Refund Policy)

Abstract:

We consider robustness properties of second-order methods for the sliding mode control of nonlinear ordinary differential equations. A new approach is presented based on the theory of well-posed optimization problems. It is shown that the convergence of the real states of the control system to the ideal one is intimately related to Tykhonov well-posedness of suitably defined dynamic optimization problems.

Keywords: Sliding mode control; Tykhonov well-posedness; Approximability; Mathematics Subject Classifications 2000: 93B12; 49K40

Document Type: Research article

DOI: http://dx.doi.org/10.1080/02331930512331342654

Affiliations: 1: Dipartimento di Matematica, via Dodecaneso 35, 16146 Genova, Italy

Publication date: 2005-04-01