Triangular function based analysis and solution of inverted pendulum problem

Abstract

Differential equations of different types and orders are of utmost importance for mathematical modeling of control system problems. State variable method uses the concept of expressing a number of first order differential equations in vector matrix form to model and analyze/synthesize control systems. The present work takes into account the Analysis and Solution of Homogeneous and Non-homogeneous (Time invariant) Differential State Equations and solving inverted pendulum problem with this approach.