Disciplina Curricular
Sistemas Dinâmicos Lineares (Cmu) SDL-Cmu
Diploma de Estudos Avançados em Engenharia Electrotécnica e de Computadores - DEAEEC2006
Peso
6.0 (para cálculo da média)
Objectivos
This first course on linear dynamical systems is suitable for post-graduate students in engineering with interest in circuits, signal processing, communications, and control systems. The main target of the course is to guide the student into the state of the art tools provided by the modern linear systems theory, addressing topics of stability, controllability, observability, realization theory, state feedback, state estimation, etc. For time-invariant systems both state-space and transfer function methods will be addressed.
Programa
The course starts with a brief overview of linear algebra, solutions of linear differential equations, and state space representations, and proceeds with: Part 1 - Basic system properties, causality, linearity, time-invariance; Impulse response and transfer function for state-space systems. Solution for state-space linear time-varying (LTV) systems; Solution for state-space linear time-invariant (LTI) systems; Part 2 - Stability, input-output stability of LTI systems; Internal stability of continuous-time LTI systems; Controllability and State Feedback; Reachability and controllability subspaces for LTI systems. Canonical decompositions; Part 3 - Observability and reconstructibility; Stabilizability and detectability; Kalman decomposition Theorem; Minimal realizations. Numerous worked examples and case studies from different fields will be presented in order to provide the student with the required intuition to the analysis of linear dynamical systems using MATLAB.
Metodologia de avaliação
3 mid term exams (MTE), 1 HW/week, composed by 2/3 problems of different degrees of difficulty, Course grading scheme as follows o A >= 90 o 80 <= B < 90 o 70 <= C < 80 o 60 <= D < 70 o 50 <= E < 0.6 o (Fail) F < 50 Overall course grading formula o Overall Grade = 0.4*HW + 0.6*MTE