Lectures related to Pole–zero plot

Stability in Feedback Systems

Explores BIBO stability in feedback systems, covering criteria, Nyquist criterion, and system sampling impact.

Nyquist Introduction

Introduces the Nyquist criterion to determine system stability and covers BIBO stability and stability conditions.

SISO Polynomial Controllers: Sylvester Matrix, Internal Model Principle

Covers the design of SISO polynomial controllers using concepts such as the Sylvester matrix and model matching.

System Composition

Covers system composition, feedback representation, and block diagrams of LTI systems.

Signals & Systems I: Filter Equations and Poles

Explores rational transfer functions, filter equations, poles, zeros, and impulse response in signal processing.

Region of Convergence and Stability

Explains Region of Convergence and system stability in signal processing.

The Frequency Response of RLC Circuits

Explores the frequency response of RLC circuits, operational amplifiers, and linear dependent sources, highlighting the historical significance of operational amplifiers.

Signals & Systems I: Characteristic Modes and Impulse Responses

Explores characteristic modes, impulse responses, and system stability in signals and systems.

Signals & Systems II: Difference Equations and Inverse Operators

Explores difference equations, impulse response, BIBO stability, and inverse operators in signal processing.

Frequency Response of RLC Circuits

Explores the frequency response of RLC circuits, Bode diagrams, OPAMP history, and modern engineering applications.

Offset-free tracking: Necessary conditions and Feedforward compensation

Explores offset-free tracking in multivariable control, covering necessary conditions and feedforward compensation to reject disturbances and achieve constant setpoints.

Bode Gain-Phase Relationship

Covers the Bode Gain-Phase Relationship and design of lead compensators.

The ideal lowpass filter

Explores the ideal lowpass filter, its impulse and frequency response, and challenges due to infinite support and lack of stability.

Bode Diagram Synthesis

Covers the synthesis in the Bode diagram, dynamic controls, and the link between the Bode and Nyquist diagrams.

Signals & Systems I: Characteristic Modes and Green Functions

Explores characteristic modes, green functions, stability criteria, and system response to complex excitations.

System Analysis in Time Domain

Explores system analysis in the time domain, covering mathematical modeling, transfer functions, responses, and system identification.

Frequency Response and Bode Diagrams

Explores transfer functions, frequency response, Bode diagrams, and poles and zeros in circuits.

System Identification and Stability

Explores system identification, stability criteria, and challenges in stabilizing cameras on moving platforms.

Frequency Response and Filters: Signals & Systems I

Explores frequency response, ideal filters, and linear phase in signals & systems.

Analog Filters: General Synthesis and Transfer Functions

Explores analog filters, rational transfer functions, and stability analysis of causal systems.