Robust stabilization of uncertain nonlinear systems with infinite distributed input delays *

This paper studies the robust stabilization problem of a class of uncertain Lipschitz nonlinear systems with infinite distributed input delays. A novel robust predictor feedback controller is developed and the controller gain can be obtained via solving a linear matrix inequality. It is shown that the proposed robust predictor feedback controller can globally exponentially stabilize the concerned uncertain nonlinear system with infinite distributed input delays. The key to the proposed approach is the development of several new quadratic Lyapunov functionals. The obtained results are extended to the case of systems with both multiple constant input delays and infinite distributed input delays. It is noted that the obtained results include some existing results on systems with constant input delays or bounded distributed input delays as special cases. Finally, two examples of Chua's circuit and spacecraft rendezvous system are presented to illustrate the effectiveness of the proposed robust controllers. & COPY; 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.

Automated summary

This paper investigates the robust stabilization problem of a class of uncertain Lipschitz nonlinear systems with infinite distributed input delays. A novel robust predictor feedback controller is proposed, and the controller gain can be obtained by solving a linear matrix inequality. It is shown that the proposed controller can exponentially stabilize the concerned system globally. The key contribution of this approach lies in the development of new quadratic Lyapunov functionals. The obtained results are generalized to systems with both multiple constant input delays and infinite distributed input delays.