Second order modelling - Modelling, analysis and control

Pulleys and gears are widely used in mechanical systems and thus an understanding of basic modelling techniques is invaluable. Develops models for a basic mass-spring-damper system working through a pulley (or gear). Has a discussion of gears in general, mostly based around a simple bicycle example.

Shows how different arrangements of two tanks leads to models with different characteristics. Indicates the need for more involved modelling approaches to deal with complex systems.

DC servos are one of the most common systems in use in the world today. This video gives a keep overview of how these might be modelled and how typical assumptions lead to 2nd order dynamics. Gives the modelling steps in detail.

Considers scenarios where the DC servo is driving a load throuugh a system of gears and shows how, with simplifying assumptions, this still results in a 2nd order model. Also shows that a typical DC servo assumptions leads to 1st order dynamics being representative of many DC servo applications.

Extends the 1st order modelling videos to show how the derivation of a model for a simple 2nd order mechanical systems comprising parallel arrangement of a mass, spring and a damper is straightforward. Includes a brief discussion of quarter car models which include mass-spring-damper components.

Extends the 1st order modelling videos to show the derivation of a model for a simple 2nd order electrical circuit comprising resistor, inductor and capacitor. Reiterates messages on analogies with mechanical systems.