Generalized Nonlinear Model of Inverted Pendulum

نویسندگان

  • Abdulkadir Iyyaka Audu
  • Jibril Danladi Jiya
چکیده

Linearization of control model of inclined inverted pendulum (IP) is the main focus of this paper. The areas of application and associated reliability issues of IP are increasingly important in control engineering. A generalized control model, which can facilitate the understanding of system dynamics of an IP irrespective of the plane it is orientated compared to the plane of the control input is developed. There is a high degree of complexity associated with the generation of state variable representation from the nonlinear control model. Therefore, we also focus on the linearization of the nonlinear control model of an inclined IP since it provides the basis for state variable representation of the system. Moreover, it provides for a natural implicit knowledge representation. Keywords—Nonlinear control model, linearization, inclined inverted pendulum, state variable, system matrix

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Real-Time Swing-up of Double Inverted Pendulum by Nonlinear Model Predictive Control

In this study, the swing-up of a double inverted pendulum is controlled by nonlinear model predictive control (NMPC). The fast computation algorithm called C/GMRES (continuation/generalized minimal residual) is applied to solve a nonlinear two-point boundary value problem over a receding horizon in real time. The goal is to swing-up and stabilize two pendulums from the downward to upright posit...

متن کامل

MINIMUM TIME SWING UP AND STABILIZATION OF ROTARY INVERTED PENDULUM USING PULSE STEP CONTROL

This paper proposes an approach for the minimum time swing upof a rotary inverted pendulum. Our rotary inverted pendulum is supported bya pivot arm. The pivot arm rotates in a horizontal plane by means of a servomotor. The opposite end of the arm is instrumented with a joint whose axisis along the radial direction of the motor. A pendulum is suspended at thejoint. The task is to design a contro...

متن کامل

Adaptive Integral Backstepping Motion Control for Inverted Pendulum

The adaptive backstepping controller for inverted pendulum is designed by using the general motion control model. Backstepping is a novel nonlinear control technique based on the Lyapunov design approach, used when higher derivatives of parameter estimation appear. For easy parameter adaptation, the mathematical model of the inverted pendulum converted into the motion control model. This conver...

متن کامل

Modelling of Classical and Rotary Inverted Pendulum Systems – a Generalized Approach

The purpose of this paper is to present the design and program implementation of a general procedure which yields the mathematical model for a classical or rotary inverted pendulum system with an arbitrary number of pendulum links. Lagrange equations of the second kind with an integrated Rayleigh dissipation function are employed in model design, and the energetic balance relations, derived for...

متن کامل

A Nonlinear Observer for the Inverted Pendulum

This paper deals with the design of a nonlinear observer for the inverted pendulum. The observer uses the standard structure of the linear observer with the linear model replaced by a nonlinear model. Nominal observer gains are determined from a linearized model. This model is also used to find a compromise between robustness and performance. The stability of the observer is then discussed and ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017