Analysis of Dither in Relay Feedback Systems
نویسندگان
چکیده
Dither signals provide an effective way of compensating for nonlinearities in control systems. The seminal works by Zames and Shneydor and more recently by Mossaheb present rigorous tools for systematic design of dithered systems. Their results rely however on a Lipschitz assumption on the nonlinearity and thus do not cover important applications with discontinuities. This paper presents initial results on how to analyze and design dither in nonsmooth systems. In particular, it is shown that a dithered relay feedback system can be approximated by a smoothed system obtained through an averaging approach. Guidelines are given for tuning the amplitude and the period time of the dither signal, in order to stabilize the nonsmooth system.
منابع مشابه
Dither for Smoothing Relay Feedback Systems: an Averaging Approach
Dither signals are commonly used for compensating nonlinearities in feedback systems in electronics and mechanics. The seminal works by Zames and Shneydor and more recently by Mossaheb present rigorous tools for systematic design of dithered systems. Their results rely however on a Lipschitz assumption on the nonlinearity and thus do not cover important applications with discontinuities. The ai...
متن کاملDither for Smoothing Relay Feedback Systems
Dither signals provide an effective way to compensate for nonlinearities in control systems. The seminal works by Zames and Shneydor, and more recently, by Mossaheb, present rigorous tools for systematic design of dithered systems. Their results rely, however, on a Lipschitz assumption relating to nonlinearity, and thus, do not cover important applications with discontinuities. This paper prese...
متن کاملA Numerical Design Technique for a Relay - Type Feedback Control System
An efficient numerical method for the design and synthesis of compensator for a relay type control system is developed and discussed. Previous works based on the interactive graphic method are reviewed and it is shown that the combination of the trequency and time domain numerical techniques provide a powerful tool in design of a wide class of relay control systems. An example is presented to d...
متن کاملDesign 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 کاملPerformance Analysis of Wireless Cooperative Networks with Iterative Incremental Relay Selection
In this paper, an iterative incremental relay selection (IIRS) scheme is considered for wireless cooperative networks in order to increase the reliability of transmission. Different from the conventional incremental relay selection which incrementally selects a best relay for only one iteration; the IIRS scheme iteratively applies the incremental relaying and relay selection processes. To evalu...
متن کامل