Convergence Analysis of Active Noise Control Systems Using Root Locus Theory
نویسندگان
چکیده
This paper applies root locus theory in order to conduct a new convergence analysis for the stochastic FxLMS algorithm, without any simplifying assumption regarding the secondary path. The main steps to sketch the root locus of the FxLMS adaptation process are developed. Using the obtained root locus plot, the upper bound for the adaptation step-size beyond which the adaptation process becomes unstable is derived. The proposed bound applies to moving average secondary systems, while previously proposed ones only apply to pure delay secondary systems. Results obtained from this study are found to agree very well with those obtained from the numerical analysis and simulation results.
منابع مشابه
A Robust Feedforward Active Noise Control System with a Variable Step-Size FxLMS Algorithm: Designing a New Online Secondary Path Modelling Method
Several approaches have been introduced in literature for active noise control (ANC)systems. Since Filtered-x-Least Mean Square (FxLMS) algorithm appears to be the best choice as acontroller filter. Researchers tend to improve performance of ANC systems by enhancing andmodifying this algorithm. This paper proposes a new version of FxLMS algorithm. In many ANCapplications an online secondary pat...
متن کاملAn Optimized Online Secondary Path Modeling Method for Single-Channel Feedback ANC Systems
This paper proposes a new method for online secondary path modeling in feedback active noise control (ANC) systems. In practical cases, the secondary path is usually time-varying. For these cases, online modeling of secondary path is required to ensure convergence of the system. In literature the secondary path estimation is usually performed offline, prior to online modeling, where in the prop...
متن کاملActive Noise Cancellation using Online Wavelet Based Control System: Numerical and Experimental Study
Reaction wheels (RWs) used for attitude control of space vehicle systems usually encounter with undesired wide band noises. These noises which significantly affect the performance of regulator controller must tune the review or review rate of RWs. According to wide frequency band of noises in RWs the common approaches of noise cancellation cannot conveniently reduce the effects of the noise. Th...
متن کاملAn optimal servo system based on sliding mode for the contact force of an active pantograph
This paper presents a design method of optimal servo systems based on sliding mode for an active pantograph with flexibility subject to the stiffness variation of the catenary. It is pointed out through our analysis that the flexibility makes the control problem much harder, because it increases not only the freedom of motion but also the relative degree between the control input and the contac...
متن کاملMultichannel Active Noise Control Systems and Aigorithms for Reduction of Broadband Noise
Active noise contral systems for braadband noise reduction require substantial computing power, especially for multichannel systems and adaptive controllers. Furthermore, speed of convergence can be an issue as weil. In this paper, methods and techniques are described that are able to reduce the computational complexity and to improve the speed of convergence. The latter is accomplished by usin...
متن کامل