On the implementation of the eigenvalue method for limit cycle determination in nonlinear systems

نویسنده

  • KARL HEINZ KIENITZ
چکیده

Abstract: In many practical systems, limit cycles can be predicted with suitable precision by frequency domain methods using describing functions. Within such an approach, limit cycles can be predicted using the “eigenvalue method” [7]. This contribution presents a novel and advantageous implementation of this method, using singular value instead of eigenvalue calculations, and enhancing computational efficiency by avoiding a so called “frequency iteration”.

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

Design and Implementation of a Control System for a DC Servomechanism with an Internal Dither Created by a Limit Cycle

Purpose of this paper is designing of a positional angle control system for a DC servomechanism. The servomechanism system consists of a direct current (DC) motor, a motor driver, a measuring sensor, and a control board to adjust angular position. The motor in the servomechanism has a non-linear element called dead-zone. Presence of dead-zone causes the nonlinear behavior of system. Injecting a...

متن کامل

Evaluation of the Centre Manifold Method for Limit Cycle Calculations of a Nonlinear Structural Wing

In this study the centre manifold is applied for reduction and limit cycle calculation of a highly nonlinear structural aeroelastic wing. The limit cycle is arisen from structural nonlinearity due to the large deflection of the wing. Results obtained by different orders of centre manifolds are compared with those obtained by time marching method (fourth-order Runge-Kutta method). These comparis...

متن کامل

An efficient method to control the amplitude of the limit cycle in satellite attitude control system

In this paper, an efficient method is presented to control the attitude of a satellite with ON-OFF actuator. The main objective of this novel method is to control the amplitude of the limit cycle which commonly appears in the steady state of such systems; and at the same time by consideration of real actuator constraints, reduce the fuel consumption of system. The Proposed method is a combinati...

متن کامل

Determination of Gain and Phase Margins in Lur’e Nonlinear Systems using Extended Circle Criterion

Nonlinearity is one of the main behaviors of systems in the real world. Therefore, it seems necessary to introduce a method to determine the stability margin of these systems. Although the gain and phase margins are established criteria for the analysis of linear systems, finding a specific way to determine the true value of these margins in nonlinear systems in general is an ongoing research i...

متن کامل

Determination of Stability Domains for Nonlinear Dynamical Systems Using the Weighted Residuals Method

Finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. This paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. In mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...

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 2005