Lectures related to Laplace Transform: Rules and Examples

Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.

Covers the Laplace transform, region of convergence, impulse response, and multiple poles.

Laplace Transform: Basics and Properties

Covers the basics of the Laplace transform, properties, and applications to LTI systems, including transfer function and frequency response.

Linearization Method: Examples

Covers the linearization method through two examples in process control.

Electric Motors: Principles and Applications

Explores electric motor principles, linearity, control systems, active suspensions, and Laplace transforms.

Introduction to the Laplace Transform

Covers the Laplace Transform, LTI systems, Fourier Transforms, and properties.

Discrete Systems Analysis: Z-Transform and System Properties

Explores Z-transform, system properties, and analysis of discrete systems, focusing on stability and transfer functions.

Notion of Transfer Function

Introduces the concept of transfer function in dynamic systems analysis.

Properties of Dynamic Systems

Covers linearity, causality, and equilibrium points in dynamic systems studied in the course.

State Space Representation: Models

Covers the state-space representation of systems and models in process control.

Inverse Laplace Transform: Examples

Covers the inverse Laplace transform with examples and methods for solving complex roots.

Mixing Tank: Process Control

Covers the process control of a mixing tank and optimizing its performance.

Laplace Transform: Properties and Applications

Covers the properties and applications of the Laplace transform in solving differential equations.

Discrete-Time Systems Analysis

Explores Z-transform analysis for discrete-time systems and transfer functions in control systems.

Cascade Control: Furnace Temperature and Gas Pressure Regulation

Explores cascade control for furnace temperature and gas pressure regulation, showcasing its advantages over single-loop systems.

Fourier Transform: Concepts and Applications

Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.

Frequency Response of LTI Systems

Explores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.

Modeling Dynamic Systems: Definitions and Examples

Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.

Digital Control: Introduction and Implementation

Covers the basics of digital control and its implementation using a microprocessor.

Routh-Hurwitz: special cases

Covers methods to determine stability of closed-loop transfer functions in Process Control.