How to use the inverted pendulum as a benchmark for testing control algorithms

The inverted pendulum is a classic problem in dynamics and control theory and is widely used as a benchmark for testing control algorithms. This book with show you in depth how to use the inverted pendulum as a benchmark for testing various control algorithms. Topics include: Stability Properties of a Linearized System, State Variable Feedback, Applications, Estimation Error, Static Controllers: Combined Simulation for Static Controller, Open Loop Linear System for Static Controller, Closed Loop Linear System for Static Controller, Open Loop Non-Linear System for a Static Controller, Closed Loop Non-Linear System for Static Controller, Dynamic Controllers: Combined Simulation for a Dynamic Controller, Estimator for Linear Model of a Dynamic Controller, Closed Loop Linear Model for a Dynamic Controller, an Estimator for Non-Linear Model for Dynamic Controller, Closed Loop Non-Linear System with Estimator for Dynamic Controller. Simulations are done in both GNU Octave and Matlab(R)-Simulink with the Control System Toolbox. This e-book is best displayed on a computer. Go to http://www.amazon.com/gp/kindle/pc/download to download kindle for PC viewer.