13 research outputs found
Control Lyapunov Functions and Stabilization by Means of Continuous Time-Varying Feedback
For a general time-varying system, we prove that existence of an "Output
Robust Control Lyapunov Function" implies existence of continuous time-varying
feedback stabilizer, which guarantees output asymptotic stability with respect
to the resulting closed-loop system. The main results of the present work
constitute generalizations of a well-known result towards feedback
stabilization due to J. M. Coron and L. Rosier concerning stabilization of
autonomous systems by means of time-varying periodic feedback.Comment: Submitted for possible publication to ESAIM Control, Optimisation and
Calculus of Variation
Further Remarks on the Sampled-Data Feedback Stabilization Problem
The paper deals with the problem of the sampled data feedback stabilization
for autonomous nonlinear systems. The corresponding results extend those
obtained in earlier works by the same authors. The sufficient conditions we
establish are based on the existence of discontinuous control Lyapunov
functions and the corresponding results are applicable to a class of nonlinear
affine in the control systems.Comment: 6 page
Observability and State Estimation for a Class of Nonlinear Systems
International audienceWe derive sufficient conditions for the solvability of the state estimation problem for a class of nonlinear control time-varying systems which includes those, whose dynamics have triangular structure. The state estimation is exhibited by means of a sequence of functionals approximating the unknown state of the system on a given bounded time interval. More assumptions guarantee solvability of the state estimation problem by means of a hybrid observer