Modelado y Control de Procesos: Sistema de Tanques Interactuantes con Matlab y Simulink

Hello, control engineers! Welcome to a new practical exercise where we solve a complete control engineering workshop. Solution + Codes: https://controlautomaticoeducacion.co... In this video, we tackle a common mathematical challenge in the field: an interacting tank system (one conical and one cylindrical) that exhibits strong nonlinearities. If you are a student of Electronic Engineering, Mechatronics, Chemical Engineering, or Automation, this video will help you master modeling from scratch to simulation. What will you learn in this tutorial? Mathematical Modeling: We perform the mass balance and apply the chain rule to obtain the differential equations. Linearization: We use Taylor Series and the Jacobian Matrix to obtain a linear model in deviation variables. Matlab and Simulink: We construct the static curve, define the operating point, and compare the linear model vs. Nonlinearity. Stability Analysis: We determine the gain range (K) for a proportional controller using Routh-Hurwitz and the margin command. Delay Systems: We apply Padé's approximation and analyze the impact of dead time on stability. Steady-State Error: We apply the internal model principle to eliminate error due to step inputs. ⏱ TIMESTAMPS ⏱ 00:00 Introduction and presentation of the interacting tank system. 03:00 Mass balance: Mathematical modeling of the conical tank. 04:36 Application of linear proportionality and the chain rule for height (H1). 08:48 Mathematical modeling of the cylindrical tank (H2). 09:44 Linearization using Taylor series and deviation variables. 10:48 Calculation of the Jacobian matrix of the system. 16:25 Steady State Determination. 17:41 Obtaining the Transfer Function (State Space to Transfer Function). 18:07 Matlab Simulation: Static Curve and Operating Point. 20:31 Simulink Comparison: Linear vs. Nonlinear Model. 24:21 Open-Loop and Closed-Loop Response Analysis. 27:12 Stability Analysis with Delay (Padé and Routh-Hurwitz Approximations). 32:56 Verification of the Gain Margin using the `margin` command in Matlab. 34:20 Stability Evaluation in the Nonlinear Plant. 36:27 Steady-State Error Analysis and the Principle of the Internal Model. 40:17 Impact of Increased Delay and Compensation Strategies. ____________ PREMIUM COURSES WITH COUPON AND CERTIFICATE______________ ➤ Fundamentals of Industrial Instrumentation: https://bit.ly/FunInsInd ➤ Simulink from Scratch: https://bit.ly/3a0W8Xr ➤ LabVIEW from Scratch: https://bit.ly/LabView0 ➤ PIC Controllers Course: http://bit.ly/Control_PIC ➤ Arduino Controllers Course: http://bit.ly/Control_Ardu ➤ Applied Control Systems in Arduino: https://bit.ly/AppControlCAE ➤ Control Systems in Matlab (Spanish): https://bit.ly/MatConES ➤ Control Systems in Matlab (Portuguese): https://bit.ly/MatConPT ____________ MY SOCIAL MEDIA______________ ►Website: https://controlautomaticoeducacion.com/ ►Want Benefits? https://bit.ly/2YvGEqK ►Telegram: https://t.me/ConAutEdu ►Instagram:   / sergioacgiraldo   ►Twitter:   / conautedu   ►Facebook:   / controlautomaticoeducacion   _________________________________________________________________ If you found this information helpful and would like me to continue providing more free, high-quality content, you could buy me a coffee and help me continue paying for the website servers. 👉 Buy Sergio a Coffee: http://bit.ly/2VqAdSX ☕️☕️☕️ __________________________________________________________________