Regelung partieller Differentialgleichungen im SS 2018

Prof. Dr. Martin Grepl ✉


Lecture Tuesday, 10:30-12:00, room 224.3 (main building) Start: 17.04.2018
Thursday, 10:30-12:00, room 224.3 (main building) Start: 12.04.2018
Recitation TBD, room 224.3 (main building) Start: TBD

News and Important Information

The first meeting to discuss the topics, outline and organization of the class will take place on Thursday, April 12, at 10:30am in room 224.3 (main building).
The course consists of part 1 and 2, each one is 5 ECTS (V2/Ü1). If you have questions, please do not hesitate to contact me.

Course Description

The two main topics to be discussed in this course are backstepping controller design and model predictive control. The former approach originated from control of nonlinear systems called integrator backstepping. It was extended afterwards to partial differential equations in the context of boundary control. We will consider backstepping design for different classes of PDEs as well as observer design, motion planning and adaptive control.
The second topic, model predictive control, has its roots in optimal control. Whereas the classical optimal control formulation results in an open loop control, model predictive control aims to solve an optimal control problem over a finite time-horizon, implementing only the current timestep and then re-optimizing. It thus takes the dynamics of the system into account, can react to disturbances and also anticipate future events.

Reference Texts

  • M.Krstic, A.Smyshlyaev. Boundary Control of PDEs, SIAM 2008.
  • J.B. Rawlings, D.Q.Mayne. Model Predictive Control: Theory and Design, Nob Hill 2009

Lecture Slides