2 research outputs found
Global stabilization of linear systems with bounds on the feedback and its successive derivatives
We address the global stabilization of linear time-invariant (LTI) systems
when the magnitude of the control input and its successive time derivatives, up
to an order , are bounded by prescribed values. We propose a
static state feedback that solves this problem for any admissible LTI systems,
namely for stabilizable systems whose internal dynamics has no eigenvalue with
positive real part. This generalizes previous work done for single-input chains
of integrators and rotating dynamics