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Finite time stability analysis of $PD^\alpha$ fractional control of robotic time-delay systems. (English) Zbl 1192.70008
Summary: A finite time stability test procedure is proposed for robotic system where it appears a time delay in $PD^\alpha$ fractional control system. Paper extends some basic results from the area of finite time and practical stability to linear, continuous, fractional order time invariant time-delay systems given in state-space form. Sufficient conditions for this kind of stability, for particular class of fractional time-delay systems are derived.

MSC:
70E60Robot dynamics and control (dynamics of a rigid body and of multibody systems)
70Q05Control of mechanical systems (general mechanics)
93C85Automated control systems (robots, etc.)
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