A multistage inverted pendulum system features complex non-linearity, strong duality and quick time variance, and the evolutionary linear control strategy is presented to control this system according to these features.

A simulation analysis of two control methods for a single inverted pendulum;

Application of Fuzzy Control in Single Inverted Pendulum System;

The mathematical model of a single inverted pendulum is built by using the Newton mechanics,and the two control methods which are usually used in the inverted pendulum system,that is conventional PID, the self-training property of neural net Fuzzy control are discussed.

Control design of double inverted pendulum based on intrinsic characteristics of the system;

The control of a double inverted pendulum by using hierarchical fuzzy neural network;

Simulation design of double inverted pendulum digital controller;

Based on the T-S fuzzy model of the single-inverted pendulum,a design method of fuzzy controller is presented by using the concept of CDF(compensation and division for fuzzy model) and the approach of linear matrix inequality.

This paper deduces the mathematical model of a single-inverted pendulum system by Lagrange equation and designs its controller by the adaptive fuzzy method, later, combining its model and controller in Matlab simulation and operating it.

This paper propose optimized the double inverted pendulum s length of the pole.

By the use of LQR,we get an optimal control for the double inverted pendulum system and turn it to be effective by the MATLAB-simulated experiments.

This paper sets up a mathematical model of triple inverted-pendulum in the first place,and linearize it at the balance point,then control rules are deduced using the quadratic optimal control theory.