Proceedings ArticleDOI
Describing function analysis of nonlinear systems with parametric uncertainties
S.T. Impram,Neil Munro +1 more
- Vol. 1, pp 112-116
Reads0
Chats0
TLDR
In this article, some of the well established robustness results regarding linear systems are combined with the describing function method to analyze the stability of autonomous uncertain systems with separable nonlinearities.Abstract:
Periodic phenomena, such as limit cycles, are among the most prominent features of nonlinear control systems. Predictions as to whether or not oscillations of this kind are likely to exist can be made using the describing function approach. Here, some of the now well established robustness results regarding linear systems are combined with the describing function method to analyze the stability of autonomous uncertain systems with separable nonlinearities. An example is provided to substantiate the mathematical derivations and theoretical conclusions.read more
Citations
More filters
Proceedings ArticleDOI
Limit cycle analysis of uncertain control systems with multiple nonlinearities
S.T. Impram,N. Munro +1 more
TL;DR: The describing function method is employed in conjunction with some of the robustness tools for linear systems to develop algorithms for predicting the existence of limit cycles in uncertain systems with multiple nonlinearities connected in series.
Journal ArticleDOI
A describing function approach to the design of robust limit-cycle controllers
TL;DR: In this article, the authors proposed a robust limit-cycle controller for autonomous systems with separable SISO nonlinearities. The objective is to design a controller to secure specified robust oscillation amplitude and frequency, which consists of quasi-linearization of the nonlinear element via a Describing Function (DF) approach and then shaping the loop to reach desired limitcycle characteristics.
Journal ArticleDOI
Describing functions in non-linear systems with structured and unstructured uncertainties
Serkan T. Impram,Neil Munro +1 more
TL;DR: Here, DFs are employed in an even more general setting, i.e. both types of uncertainty are allowed to enter the system, and computationally tractable stability criteria are derived.
Proceedings ArticleDOI
A describing function approach to limit cycle controller design
TL;DR: In this paper, a robust limit cycle controller for autonomous systems with separable single-input-single-output nonlinearities is proposed, where the objective is to design a controller such that the variation in limit cycle amplitude and frequency due the uncertainty is as small as possible in the controlled system for the worst uncertainty considered.
Proceedings ArticleDOI
An algebraic approach to the design of robust limit cycle controllers
TL;DR: The design of robust limit cycle controllers introduced here can be used for autonomous systems with separable single-input-single-output nonlinearities and unavoidable limit cycles.