1 research outputs found
On Sontag's Formula for the Input-to-State Practical Stabilization of Retarded Control-Affine Systems
In this paper input-to-state practically stabilizing control laws for
retarded, control-affine, nonlinear systems with actuator disturbance are
investigated. The developed methodology is based on the Arstein's theory of
control Liapunov functions and related Sontag's formula, extended to retarded
systems. If the actuator disturbance is bounded, then the controller yields the
solution of the closed-loop system to achieve an arbitrarily fixed neighborhood
of the origin, by increasing a control tuning parameter. The considered systems
can present an arbitrary number of discrete as well as distributed time-delays,
of any size, as long as they are constant and, in general, known