TY - GEN
T1 - Discretization issues of high-order sliding modes
AU - Levant, A.
PY - 2011
Y1 - 2011
N2 - Uncertain high-relative-degree problems of finite-time-stable output regulation are only solvable by means of high-order sliding-mode (HOSM) controllers. Output-feedback HOSM controllers make use of robust exact differentiators also based on HOSMs. It is proved that the ultimate asymptotic accuracy of output-feedback HOSM technique is preserved, if its digital implementation in controlling continuous-time systems is based on the simple zero-order-hold control and internal one-step Euler integration. At the same time due to the integration errors there is a certain performance degradation of digital HOSM differentiators solely used for signal processing.
AB - Uncertain high-relative-degree problems of finite-time-stable output regulation are only solvable by means of high-order sliding-mode (HOSM) controllers. Output-feedback HOSM controllers make use of robust exact differentiators also based on HOSMs. It is proved that the ultimate asymptotic accuracy of output-feedback HOSM technique is preserved, if its digital implementation in controlling continuous-time systems is based on the simple zero-order-hold control and internal one-step Euler integration. At the same time due to the integration errors there is a certain performance degradation of digital HOSM differentiators solely used for signal processing.
KW - Differentiators
KW - Digital implementation
KW - Output-feedback control
KW - Sliding mode control
UR - https://www.scopus.com/pages/publications/84866770858
U2 - 10.3182/20110828-6-IT-1002.00489
DO - 10.3182/20110828-6-IT-1002.00489
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???
AN - SCOPUS:84866770858
SN - 9783902661937
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 1904
EP - 1909
BT - Proceedings of the 18th IFAC World Congress
PB - IFAC Secretariat
ER -