Enroll Course: https://www.coursera.org/learn/resposta-frequencia
For anyone delving into the fascinating world of control systems, understanding frequency response is absolutely crucial. I recently completed Coursera’s “Controle Usando a Resposta em Frequência” (Control Using Frequency Response), and it was an incredibly insightful journey. This course, taught in Portuguese, provides a comprehensive approach to grasping how systems behave when subjected to sinusoidal inputs.
The course begins by laying a solid foundation, explaining how to derive the frequency response of a Linear Time-Invariant (LTI) system. You’ll learn to obtain Bode plots from amplitude and phase data, and importantly, how to sketch them directly from a system’s transfer function. This skill is fundamental for analyzing system stability and performance.
One of the highlights is the detailed exploration of graphical representations like the Nichols-Black chart. The course effectively links resonance peaks in closed-loop frequency response to damping ratios and open-loop 0 dB crossover frequencies to closed-loop natural frequencies. This allows for the design of proportional controllers to meet specific overshoot or settling time requirements, solely from the open-loop frequency response.
The Nyquist diagram and the impact of time delays are also thoroughly covered. You’ll learn to use the Nyquist criterion to assess closed-loop stability and determine the number of right-half-plane poles. Understanding the effects of time delays on frequency and temporal responses is a practical skill that this course excels at teaching.
Perhaps the most valuable part for practical application is the module on designing controllers. The course guides you through creating more complex controllers, incorporating zeros and poles, to effectively manipulate phase margin and 0 dB crossover frequency. This enables meeting stringent transient response requirements, such as overshoot and settling time, while also allowing for adjustments to low-frequency gain to satisfy steady-state error specifications without compromising transient performance.
Finally, the course culminates in the practical design of PI, PD, and PID controllers. By the end, you’ll be equipped to select the appropriate controller and tune its parameters to meet desired performance criteria, including overshoot, response time, and steady-state error. This course is highly recommended for students and engineers looking to deepen their understanding and practical application of frequency domain control system design.
Enroll Course: https://www.coursera.org/learn/resposta-frequencia