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Lecture

Modes and Stability of LTI Systems

In course

ME-422: Multivariable control

This course covers methods for the analysis and control of systems with multiple inputs and outputs, which are ubiquitous in modern technology and industry. Special emphasis will be placed on discrete-time systems due to their relevance to digital and embe ...

Description

This lecture covers the analysis of the free state in multivariable control systems, focusing on the modes associated with distinct eigenvalues of the system matrix. The instructor explains how to compute and characterize these modes, emphasizing the importance of understanding the stability properties of LTI systems. Various examples are provided to illustrate the concepts discussed, including systems with simple and double eigenvalues. The lecture concludes with key take-home messages on the stability of equilibrium states and the role of modes in analyzing LTI systems.

Instructor

Giancarlo Ferrari Trecate

Official source

Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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