Boundary control of delayed ODE–heat cascade under actuator saturation

9Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.
Get full text

Abstract

In this paper, we consider boundary stabilization for a cascade of ODE–heat system with a time-varying state delay under actuator saturation. To stabilize the system, we design a state feedback controller via the backstepping method and find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability conditions for the delayed cascaded system are derived by using Halanay's inequality. Numerical examples illustrate the efficiency of the method.

Cite

CITATION STYLE

APA

Kang, W., & Fridman, E. (2017). Boundary control of delayed ODE–heat cascade under actuator saturation. Automatica, 83, 252–261. https://doi.org/10.1016/j.automatica.2017.06.014

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free