Simulación y control de un péndulo invertido mediante Python

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Introduction

Certainly! Here's an English review and recommendation for the Coursera course based on the provided course details: --- **Course Review and Recommendation: Simulation and Control of Inverted Pendulum Systems in Python** This course offers an in-depth exploration of how to simulate and control physical systems, focusing specifically on the classic inverted pendulum problem, a fundamental challenge in engineering control systems. It is an excellent resource for students and professionals interested in systems dynamics, control theory, and programming. **Course Content Overview:** Participants will learn how to set up a working environment for simulating physical systems using Python. The course begins with an understanding of the physical equations governing the behavior of the inverted pendulum. Students will then translate these equations into a Python-based simulator, enabling them to visualize and analyze the pendulum’s behavior dynamically. A significant portion of the course is dedicated to control concepts, including basic control theory and PID (Proportional-Integral-Derivative) controllers. These techniques are applied within the simulator to prevent the pendulum from falling, providing practical insights into stabilizing systems. The course further explores transfer functions and explains the system's inherent instability through open-loop response analysis to a step input. In advanced modules, students will add a second control loop—again using PID—to regulate not only the pendulum’s angle but also the position of the cart, demonstrating how to manage multiple interconnected control objectives. Throughout, the course emphasizes key concepts such as the influence of pendulum arm length on control stability, the concept of error in feedback systems, system stability analysis, and foundational principles of object-oriented programming in Python. It also guides students on tuning PID controllers for optimal system performance. **Review:** This course is highly practical, combining theoretical knowledge with hands-on programming exercises. It is particularly beneficial for those interested in control systems, robotics, or automation, as it bridges the gap between mathematical models and real-world implementation. The step-by-step approach, from understanding physical laws to applying control strategies, makes complex concepts accessible and engaging. **Recommendation:** I highly recommend this course for engineering students, control system enthusiasts, and software developers looking to deepen their understanding of dynamic system simulation and control. Familiarity with basic programming and physics is helpful but not required, as the course provides foundational explanations. Enrolling in this course will equip you with practical skills in simulation, control design, and system analysis, which are highly valuable in various engineering fields. --- **Final Note:** Whether you aim to enhance your technical expertise or explore the exciting intersection of physics, control theory, and programming, this course provides a comprehensive and stimulating learning experience.

Overview

En este curso se va a aprender a instalar un entorno de trabajo para la simulación de sistemas físicos. A continuación se van a entender las ecuaciones físicas que describen el comportamiento de uno de los problemas característicos estudiados en Ingeniería, el péndulo invertido, con el objetivo de poder, a continuación, trasladar dichas ecuaciones en el software del simulador realizado en Python para reproducir su comportamiento. A continuación se explicarán conceptos de teoría básica de control y PID y se aplicarán en el simulador para evitar que se caiga el péndulo. Posteriormente se analizará la función de transferencia del sistema y se entenderá porqué éste es inestable a través del análisis de la respuesta en lazo abierto del sistema al escalón unitario. Por último se añadirá otro lazo de control que permita, (nuevamente mediante PID), controlar no sólo el ángulo del péndulo sino también la posición del carro. Finalmente se extraerán conclusiones del trabajo realizado y se destacarán conceptos clave aprendidos durante el curso tales como influencia de la longitud del brazo del péndulo en el control del sistema, concepto de error en los sistemas realimentados, estabilidad de los sistemas, algunos conceptos básicos de la programación orientada a objetos sobre Python o el ajuste de los PID para el control de sistemas.

Skills

Reviews