Abstract:
The problem of stabilizing a chain of three integrators subject to a phase constraint is studied. Continuous constrained control in the form of nested sigmoids, which guarantees the fulfillment of the phase constraint, is synthesized. A Lyapunov function is constructed, and necessary and sufficient conditions of global stability of the closed-loop system are established. The discussion is illustrated by numerical examples.
Keywords:stabilization of a chain of three integrators, global stability, phase constraint, nested sigmoids, Lyapunov function.
Presented by the member of Editorial Board:A. I. Matasov
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