Stability and chaotic behavior of a PID controlled inverted pendulum subjected to harmonic base excitations by using the normal form theory
نویسندگان
چکیده
منابع مشابه
Stability and chaotic behavior of a PID controlled inverted pendulum subjected to harmonic base excitations by using the normal form theory
In this paper we investigate the stability and the onset of chaotic oscillations around the pointing-up position for a simple inverted pendulum that is driven by a control torque and is harmonically excited in the vertical and horizontal directions. The driven control torque is defined as a proportional plus integral plus derivative (PID) control of the deviation angle with respect to the point...
متن کاملTuning of Pid Controller of Inverted Pendulum Using Genetic Algorithm
The paper presents two different ways of mathematical modeling of Inverted Pendulum. A Proportional-Integral-Derative (PID) controller is designed for its stabilization. Some reference stable system is selected after designing of PID controller to optimize different types of error using Genetic Algorithms. The proposed system extends classical inverted pendulum by incorporating two moving masse...
متن کاملTuning of PID Controller of Inverted Pendulum Using Genetic Algorithm
This paper presents different types of mathematical modelling of Inverted Pendulum and also a Proportional-Intregal-Derative (PID) controller is designed for its stabilization. After desiging of PID controller some reference stable system has been selected and then different types of error has been optimized (minimized) by using Genetic algorithms. The proposed system extends classical inverted...
متن کاملStability Analysis of Simplex Architecture Controlled Inverted Pendulum
Switched controllers are being used frequently for control of complex systems. However, they introduce new challenges for verification of stability, of which a great deal of work in the hybrid systems domain has been formalizing recently. This work is a stability case study of the classical inverted pendulum, in this case controlled using the Simplex architecture of [1], combining to form a com...
متن کاملSeismic Rehabilitation of Liquid Storage Tanks using Friction Pendulum Base Isolation subjected to the Near-Fault Ground Motions
Cylindrical liquid storage tanks are considered as vital structures in industrial complex whose nonlinear dynamic behavior is of crucial importance. Some of these structures around the world have demonstrated poor seismic behavior over the last decades. There are several methods and techniques for rehabilitation and reducing damages in these structures which among them passive control devices, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2014
ISSN: 0096-3003
DOI: 10.1016/j.amc.2014.01.102