Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations

Mathematical and Computer Modelling

Volumn 33, Issue 1-3, 2001, Pages 1-19

  Atwell, J A ^a   King, B B ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Feedback control; Heat equation; Karhunen Lo ve expansion; Principal component analysis; Proper orthogonal decomposition

Indexed keywords

EID: 0035191261     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(00)00225-9     Document Type: Conference Paper

References (16)

1. A reduced basis approach to the design of low order compensators for nonlinear partial differential equation systems
2. Nonuniform grids for reduced basis design of low order feedback controllers for nonlinear continuous systems
3. Semidefinite programming techniques for reduced order systems with guaranteed stability margins
4. Observations on the proper orthogonal decomposition
5. The proper orthogonal decomposition in the analysis of turbulent flows
6. Karhunen-Loèe expansion of Burgers' model of turbulence
7. Can dynamical systems approach turbulence?
8. A proper orthogonal decomposition of a simulated supersonic shear layer
9. Turbulence and the dynamics of coherent structures, Part I
10. Application of the Karhunen-Loèe procedure for characterization of human faces
11. Model reduction for optimization of rapid thermal chemical vapor deposition systems
12. A control problem for Burgers' equation with bounded input/output