Control Theory
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.
Basic Information
Workload
60 hours
Requirements
Calculus III
Obrigatória:
- Johann Baumeister, Antonio Leitão, Introdução à teoria de controle e programação dinâmica, 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.
Complementar:
- John Lygeros, Federico A. Ramponi, Lecture Notes on Linear System Theory, 2015 http://control.ee.ethz.ch/~ifalst/docs/Notes/LectureNotes.pdf