Output Feedback Control of Coupled Linear Parabolic ODE-PDE-ODE Systems

Boundary optimal control of coupled parabolic PDE-ODE systems

This paper deals with boundary optimal control problem for coupled parabolic PDEODE systems. The problem is studied using infinite-dimensional state space representation of the coupled PDE-ODE system. Linearization of the non-linear system is established around a steady state profile. Using some state transformations, the linearized system is formulated as a well-posed infinite-dimensional syst...

Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems

Control of Delay-ODE, Delay-PDE, and PDE-ODE Cascades

I. INTRODUCTION Delay systems occupy a special place within the field of distributed parameter systems. Certain problems for this class of distributed parameter systems lend themselves to more elegant, or even explicit solutions. An enormous wealth of knowledge and research results exists for control of systems with state delays and input delays. Problems with long input delays, for unstable pl...

State and output feedback boundary control for a coupled PDE-ODE system

This note is devoted to stabilizing a coupled PDE–ODE system with interaction at the interface. First, a state feedback boundary controller is designed, and the system is transformed into an exponentially stable PDE–ODE cascadewith an invertible integral transformation,where PDE backstepping is employed. Moreover, the solution to the resulting closed-loop system is derived explicitly. Second, a...

Stabilization for a coupled PDE–ODE control system

A control system of an ODE and a diffusion PDE is discussed in this paper. The novelty lies in that the system is coupled. The method of PDE backstepping as well as some special skills is resorted in stabilizing the coupled PDE–ODE control system, which is transformed into an exponentially stable PDE–ODE cascade with an invertible integral transformation. And a state feedback boundary controlle...