Output-Feedback Adaptive Control for Parabolic PDEs with Spatially Varying Coefficients

2006 ◽  
Author(s):  
Andrey Smyshlyaev ◽  
Miroslav Krstic
Keyword(s):  
Adaptive Control ◽  
Output Feedback ◽  
Parabolic Pdes ◽  
Varying Coefficients ◽  
Spatially Varying

Output Feedback Stabilization of the Linearized Bilayer Saint-Venant Model

2016 ◽  
Author(s):  
Ababacar Diagne ◽  
Shuxia Tang ◽  
Mamadou Diagne ◽  
Miroslav Krstic
Keyword(s):  
Output Feedback ◽  
Control Method ◽  
Coupled System ◽  
Backstepping Control ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Varying Coefficients ◽  
The One ◽  
Spatially Varying ◽  
Constant System

We consider the problem of output feedback exponentially stabilizing the 1-D bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). The PDE backstepping control method is employed. Our designed output feedback controller is based on the observer built in this paper and the state feedback controller designed in [1], where the backstepping control design idea can also be referred to [2] and can be treated as a generalization of the result for the system with constant system coefficients [2] to the one with spatially-varying coefficients. Numerical simulations of the bilayer Saint-Venant problem are also provided to verify the result.

Sign in / Sign up

Export Citation Format

Share Document