
Apply Newton's laws to model a mass-spring-damper system, derive equations of motion for single and two-mass configurations, and analyze linear two-degree-of-freedom dynamics with force inputs.
This tutorial presents a car-like model with two springs and a mass, showing linear and rotational motion as a two-degree-of-freedom system. It uses small-angle linearization and derives the equations of motion.
Explore deriving state-space representations from circuit differential equations, transforming them into matrix form for single and multi-input systems, with emphasis on state variables, inputs, and outputs.
Convert a transfer function to a state-based representation using cross multiplication and time-domain derivatives, then build state equations and a block diagram in CCF.
Explore computing eigenvalues and eigenvectors for a state-space system by applying the general method to matrices A and B, handling underdetermined equations with delta variables.
This course is for students who completed their classical control course and want to take the next step, The course contains lectures in which the concept is explained and tutorials to solve problems based on the lectures. The course covers
1) modeling of mass spring system
2) transfer functions and laplace transform
3) state space representation
4) CCF & OCF
5) cascade and parallel realization
6) controllability and observability
7) state feedback
8) output feedback
As well as a recap on stability, eigenvalues and eigenvectors.