TRƯỜNG ĐẠI HỌC SƯ PHẠ Phương pháp chỉnh định, Chỉnh định bộ điều khiển PID, Điều khiển PID theo miền, Chỉ số dao động mềm, Dao động mềm cho trước KỸ THUẬT TP HỒ CHÍ MINH ELECTRICAL AND ELECTRONIC PRINCIPLES WEEK 7, 8 Cuong Q Ngo Last classes • Trigonometric Fourier series • Plot function MATLAB • Circuit Application (Appl.
TRƯỜNG ĐẠI HỌC SƯ PHẠM KỸ THUẬT TP HỒ CHÍ MINH ELECTRICAL AND ELECTRONIC PRINCIPLES WEEK 7, Cuong Q Ngo Last classes • Trigonometric Fourier series • Plot function - MATLAB • Circuit Application (Applying Fourier series) Contents (Today class) • Laplace transform • Circuit element models • Circuit analysis • Transient analysis Laplace Transform • The Laplace transform is an integral transformation of a function f (t) from the time domain into the complex frequency domain, giving F (s) • Where s is a complex variable: 𝑠 = 𝜎 + 𝑗𝜔 Laplace Transform • Determine the Laplace transform of Laplace Transform • Laplace transform pairs (f(t) = 0, for t < 0) Laplace Transform • Laplace transform pairs (f(t) = 0, for t < 0) Laplace Transform • Inverse Laplace transform Decompose F(s) into simple terms using partial fraction expansion Find the inverse of each term by matching entries in the previous table Laplace Transform • Find the inverse Laplace transform of Laplace Transform • Answer: 𝑓 𝑡 = 3𝑢 𝑡 − 5𝑒 −𝑡 𝑢 𝑡 + sin 2𝑡 𝑢(𝑡) 10 ... using partial fraction expansion Find the inverse of each term by matching entries in the previous table Laplace Transform • Find the inverse Laplace transform of Laplace Transform • Answer: