ME 350/450: ADVANCED
TOPICS IN CONTROLS
CONTROL OF PARTIAL
DIFFERENTIAL EQUATION (PDE) SYSTEMS
http://www.lehigh.edu/~eus204/teaching/ME450_CDPS/ME450_CDPS.html
Instructor:
Eugenio Schuster
Room 454,
Packard Laboratory
Phone: (610) 758-5253
Email: schuster@lehigh.edu
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Class Times |
Tue/Th 4:25 – 5:40PM |
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Location |
Remote |
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Course Description: |
Introduction to partial differential equation (PDE) systems and their
control. Lyapunov stability analysis for PDE systems. Backstepping control.
Model Reduction. Boundary control of parabolic and hyperbolic PDE’s. Interior
control of parabolic and hyperbolic PDE’s. |
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Textbook: |
“Nonlinear and Robust Control of PDE
Systems”, by Panagiotis D. Christofides, Birkhauser 2001. ISBN: 0-8176-4156-4. “Boundary Control of PDEs: A Course on
Backstepping Designs” by Miroslav Krstic and Andrey Smyshlyaev, SIAM 2008, ISBN:
978-0898716-50-4. “Nonlinear Systems”, by Hassan K. Khalil,
Third Edition, Prentice Hall 2002, ISBN: 0-1306-7389-7. |
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Prerequisites: |
ME 343, ME 433, ME 450 (Nonlinear Systems) or consent of the
instructor. |
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Office Hours: |
After class or by appointment |
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Syllabus: |
- Stability: Direct and converse
Lyapunov theorems, Lasalle’s theorem - Backstepping Control - Introduction to Partial
Differential Equations - Model Reduction - Boundary Control of PDE’s - Interior Control of PDE’s - Diffusivity Control of PDE’s |
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