Analysis of Lur'e dominant systems in the frequency domain
نویسندگان
چکیده
Frequency domain analysis of linear time-invariant (LTI) systems in feedback with static nonlinearities is a classical and fruitful topic of nonlinear systems theory. We generalize this approach beyond equilibrium stability analysis with the aim of characterizing feedback systems whose asymptotic behavior is low dimensional. We illustrate the theory with a generalization of the circle criterion for the analysis of multistable and oscillatory Lur’e feedback systems.
منابع مشابه
Studying Dynamic behavior of Distributed Parameter Processes Behavior Based on Dominant Gain Concept and it’s Use in Controlling these Processes
In this paper, distributed parameter process systems behavior is studied in frequency domain. Based on the dominant gain concept that is developed for such studies, a method is presented to control distributed parameter process systems. By using dominant gain concept, the location of open loop zeros, resulted from the time delay parameter in the process model, were changed from the right half p...
متن کاملDetermination of Resonance Frequency of Dominant and Higher Order Modes in Thin and Thick Circular Microstrip Patch Antennas with Superstrate by MWM (RESEARCH NOTE)
An accurate model named as the Modified Wolff Model (MWM) is presented as an efficient CAD tool for determination of resonant frequency of the dominant and higher order modes under the multi-layer condition in thin and thick circular microstrip patch antennas. The effects of dielectric cover on the resonant frequency obtained from MWM have been compared against the result of theoretical method ...
متن کاملStability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities
The problem of absolute stability of Lur'e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some existing results. Simulations are given to illustrate the efficiency of the results.
متن کاملDynamic Harmonic Analysis of Long Term over Voltages Based on Time Varying Fourier series in Extended Harmonic Domain
Harmonics have become an important issue in modern power systems. The widespread penetration of non-linear loads to emerging power systems has turned power quality analysis into an important operation issue under both steady state and transient conditions. This paper employs an Extended Harmonic Domain (EHD) based framework for dynamic analysis of long term analysis over voltages during the tra...
متن کاملEarthquake Analysis of Base Isolated Structures Including Soil-Structure Interaction
A frequency domain dynamic analysis is needed to obtain the response of structures constructed on a system of base isolators on flexible soil when subjected to earthquake ground motion. In such systems, the lateral stiffness of the base isolators is so small, compared to the structural stiffness, that in an earthquake attack the fundamental vibration mode dominates the response. With this in mi...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1710.01645 شماره
صفحات -
تاریخ انتشار 2017