Delay compensated control of the Stefan problem and robustness to delay mismatch

• Published in: International journal of robust and nonlinear control Vol. 30; no. 6; pp. 2304 - 2334
• Main Authors: Koga, Shumon, Bresch‐Pietri, Delphine, Krstic, Miroslav
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.04.2020; Wiley
• Subjects: Actuators; Automatic; backstepping; Control stability; Controllers; Delay; distributed parameter systems; Engineering Sciences; Interface stability; nonlinear stabilization; Ordinary differential equations; Partial differential equations; Robustness; Solid phases; Stefan problem; Temperature profiles; time delay systems; nonlinear stabilization; backstepping; distributed parameter systems; Stefan problem; time delay systems

Summary This paper presents a control design for the one‐phase Stefan problem under actuator delay via a backstepping method. The Stefan problem represents a liquid‐solid phase change phenomenon which describes the time evolution of a material's temperature profile and the interface position. T...