Control Theory

Basic information

Workload: 

60 hours

Prerequisite: 

Calculus III

Syllabus: 

Modeling, representation in state space. Linear systems of continuous and discrete time. Input / output systems. Open loop, closed loop. Linearization. Fourier transform, transfer function, impulse response. Realization. Stability, Liapunov's method. Input / output stability. Controllability, feedback. Observability, observer. Minimum representation of a system. Optimal control.

 

Teaching Plan

Bibliography

Mandatory: 

  • Johann Baumeister, Antonio Leitão, Introduction to the theory of control and dynamic programming, IMPA, 2008.
  • Eduardo D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems. 2nd Edition, Springer, New York, 1998  https://www.math.rutgers.edu/~sontag/mct.html
  • João P. Hespanha, Linear Systems Theory, Princeton University Press, 2009.

Complementary: