TY - JOUR
T1 - Observer design for a class of hyperbolic PDE equation based on a Distributed Super Twisting Algorithm
AU - Miranda, R.
AU - Moreno, J. A.
AU - Chairez, J.
AU - Fridman, L.
PY - 2012
Y1 - 2012
N2 - In this paper a new version of a Distributed Super-Twisting Algorithm (DSTA), including a linear term, is proposed. It is an extension to infinite dimensional spaces of the Generalized Super-Twisting Algorithm for finite dimensional systems proposed in [14], [15], [3]. The proposed algorithm is different from the one presented previously by [18], [22] and it retains all the main properties of its finite dimensional counterpart, that is, it converges in finite time to zero, even in presence of bounded perturbations, in contrast with the asymptotic convergence and weaker robustness properties that have been shown for the algorithm in [18], [22]. This properties are shown using a strong Lyapunov functional. As application of this algorithm the finite time and robust state estimation problem for a class of uncertain hyperbolic PDEs is considered. A numerical example illustrates the effectiveness of the proposed method.
AB - In this paper a new version of a Distributed Super-Twisting Algorithm (DSTA), including a linear term, is proposed. It is an extension to infinite dimensional spaces of the Generalized Super-Twisting Algorithm for finite dimensional systems proposed in [14], [15], [3]. The proposed algorithm is different from the one presented previously by [18], [22] and it retains all the main properties of its finite dimensional counterpart, that is, it converges in finite time to zero, even in presence of bounded perturbations, in contrast with the asymptotic convergence and weaker robustness properties that have been shown for the algorithm in [18], [22]. This properties are shown using a strong Lyapunov functional. As application of this algorithm the finite time and robust state estimation problem for a class of uncertain hyperbolic PDEs is considered. A numerical example illustrates the effectiveness of the proposed method.
UR - http://www.scopus.com/inward/record.url?scp=84860712922&partnerID=8YFLogxK
U2 - 10.1109/VSS.2012.6163530
DO - 10.1109/VSS.2012.6163530
M3 - Artículo de la conferencia
AN - SCOPUS:84860712922
SN - 2165-4816
SP - 367
EP - 372
JO - Proceedings of IEEE International Workshop on Variable Structure Systems
JF - Proceedings of IEEE International Workshop on Variable Structure Systems
M1 - 6163530
T2 - 2012 12th International Workshop on Variable Structure Systems, VSS 2012
Y2 - 12 January 2012 through 14 January 2012
ER -