A simple design for the stabilization of a class of cascaded nonlinear systems with bounded control

The stabilization problem for a class of nonlinear cascaded systems is solved using bounded control. It is shown that global asymptotic stability (GAS), local exponential stability (LES) and input to state stability (ISS) with nonzero restrictions of a stable cascade can be achieved via a simple static partial state feedback having bounded amplitude. A new class of stabilizing control laws for a chain of integrators and for general null-controllable linear systems with input saturation is also proposed.

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