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2012-03-06 (14.00) : Constructive Feedback Linearization Of Mechanical Systems With Friction and Underactuation Degree One

At Euler building

Organized by Mathematical Engineering

Speaker : Lopez-Martinez, Manuel
Abstract : In this talk we present a constructive methodology to control a class of unstable underactuated mechanical systems with underactuation degree one, by means of classical feedback linearization and Lyapunov design. The design is presented proposing a dummy output that allows to solve the problem in a constructive way. We prove that the proposed output solves the problem obtaining an explicit and compact control law. The stability result of the obtained solution does not change when taking into account the friction effects even in the unactuated coordinate. The new result is applied to obtain a (almost) global stabilizing scheme for the VTOL aircraft model with strong input coupling.
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