MAE 287 - Control of Distributed Parameter Systems (Fall 2011)

Department of MAE, UCSD

Course web address:

Instructor: Prof. Miroslav Krstic, 1808 EBUI, 822-1374,

Time and Place: TuTh 8:00-9:20 am, WLH 2110

Textbook: M. Krstic and A. Smyshlyaev, Boundary Control of PDEs: A Course on Backstepping Designs, SIAM, 2008.


Office Hours: Mondays 1-2 or by appointment (e-mail, phone)

Final Exam (if held in class): Dec. 6, 8-11 am

Grading: Homework 50%, Final or Project 50%


Topics: Lyapunov stability; exact solutions to PDEs; boundary control of parabolic PDEs (reaction-advection-diffusion and other equations); boundary observer design; control of complex-valued PDEs (Schrodinger and Gunzburg-Landau equations); boundary control of hyperbolic PDEs (wave equations) and beam equations; control of first-order hyperbolic PDEs and delay equations; control of Kuramoto-Sivashinsky, Korteweg-de Vries, and other "exotic" equations; control of Navier-Stokes equations modeling turbulent flows; motion planning for PDEs; elements of adaptive control for PDEs and control of nonlinear PDEs.



Weeks 1, 2, 3, 4, 5, 6, 7, 8, 9   

Lecture by Scott Moura   


Homework assignments:

Homework 1:  2.1, 2.2, 2.3  Solutions    

Homework 2:  3.1, 3.2 Solutions    

Homework 3:  4.1-4.6 Solutions    

Homework 4:  5.1, 5.2, 6.1 Solutions    

Homework 5:  6.2, 7.1, 7.2, 7.3 Solutions   

In 7.2, use GUI to calculate the eigenvalues of the wave equation  (unzip the files into the same directory and type gui_wave in Matlab)

Homework 6:  8.1, 8.2, 9.1 Solutions   

Homework 7:  9.2, 9.3  Solutions   

Homework 8:  12.1-12.5   


FOR INSTRUCTORS: Contact Professor Krstic ( for a copy of the solutions manual for the above book. At the end of the Fall 2011 quarter you can download from here the complete slides for teaching the course.