TY - CHAP
T1 - Discontinuous homogeneous control
AU - Levant, Arie
AU - Alelishvili, Lela
PY - 2008
Y1 - 2008
N2 - Control under heavy uncertainty conditions remains among the main topics of the control theory. The sliding-mode control [50, 53, 10] is one of the main tools in the field. This approach is based on exactly keeping a properly chosen constraint by means of control switching of high (theoretically infinite) frequency. Although very robust and accurate, the approach has two basic restrictions. The direct implementation of standard sliding modes requires the relative degree of the constraint to be 1, i.e. control has to appear explicitly already in the first total time derivative of the constraint function. Also, high-frequency control switching may cause the so-called chattering effect [14, 15, 16, 33].
AB - Control under heavy uncertainty conditions remains among the main topics of the control theory. The sliding-mode control [50, 53, 10] is one of the main tools in the field. This approach is based on exactly keeping a properly chosen constraint by means of control switching of high (theoretically infinite) frequency. Although very robust and accurate, the approach has two basic restrictions. The direct implementation of standard sliding modes requires the relative degree of the constraint to be 1, i.e. control has to appear explicitly already in the first total time derivative of the constraint function. Also, high-frequency control switching may cause the so-called chattering effect [14, 15, 16, 33].
UR - https://www.scopus.com/pages/publications/41849135074
U2 - 10.1007/978-3-540-79016-7_4
DO - 10.1007/978-3-540-79016-7_4
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AN - SCOPUS:41849135074
SN - 9783540790150
T3 - Lecture Notes in Control and Information Sciences
SP - 71
EP - 95
BT - Modern Sliding Mode Control Theory
PB - Springer Verlag
ER -