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CDC
2008
IEEE

Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay

14 years 6 months ago
Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time delay
We present sufficient conditions for robust relay-delayed semiglobal stabilization of second order systems, which relate the upper bound to an uncertain time delay and the parameters of the plant. We also suggest an algorithm of delayed relay control gain adaptation for semiglobal stabilization, which is based on delayed information about the sign of the controlled variable only. The proposed algorithm suppresses bounded uncertainties in the time delay; that is, being designed for the upper bound of uncertainty in the time delay, the control law ensures semiglobal stabilization independently of any variable time delay obeying the given upper bound. Key words. variable structure systems, time delay, robust control AMS subject classifications. 34K20, 34K35, 93B12, 93B51, 93D09 DOI. 10.1137/060673333
Eugenii Shustin, Leonid M. Fridman, Emilia Fridman
Added 29 May 2010
Updated 29 May 2010
Type Conference
Year 2008
Where CDC
Authors Eugenii Shustin, Leonid M. Fridman, Emilia Fridman, Fernando Castanos
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