Proceedings ArticleDOI
Limit cycle analysis of uncertain control systems with multiple nonlinearities
S.T. Impram,N. Munro +1 more
- Vol. 4, pp 3423-3428
TLDR
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.Abstract:
The describing function method can be used to analyze control systems with separable nonlinearities. Here, the 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. Uncertainty is assumed to exist in terms of parameter variations in both the linear and the nonlinear elements. Examples are provided to illustrate the results which are, of course, subject to the usual errors and restrictions of the describing function method.read more
Citations
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Journal ArticleDOI
Modeling of Quantization Effects in Digitally Controlled DC–DC Converters
TL;DR: In this paper, the authors derived both static and dynamic models that include quantization effects and used them to explain the origins of limit-cycle oscillations in dc-dc converters with a single voltage feedback loop.
Proceedings ArticleDOI
Modeling of quantization effects in digitally controlled DC-DC converters
TL;DR: From the static and dynamic models, no-limit-cycle conditions associated with A/D, DPWM and compensator design criteria are derived and conclusions are illustrated by simulation and experimental examples.
Journal ArticleDOI
Digital Control of Resonant Converters: Resolution Effects on Limit Cycles
TL;DR: In this paper, the conditions for limit-cycle oscillations in digitally controlled resonant converters are explored theoretically and are tested by simulation and experiment and the analytical analysis reveals that in a manner similar to digital pulsewidth modulation (PWM) control, limit cycles occur in such systems when the LSB of the control changes the output by a value that is larger than the analog-to-digital converter resolution.
Journal ArticleDOI
Adaptive Digital Controller and Design Considerations for a Variable Switching Frequency Voltage Regulator
TL;DR: In this article, an auto-tuning adaptive digital controller with maximum efficiency point tracking to optimize dc-dc converter switching frequency is presented, where the AFO continuously finds the optimum switching frequency that will result in minimum total power loss while converter parameters and conditions vary.
Journal ArticleDOI
Hardware-in-the-Loop Simulation for the Reaction Control System Using PWM-Based Limit Cycle Analysis
Sang-Woon Jeon,Seul Jung +1 more
TL;DR: Comparison of HILS results with numerical analysis shows that predicted properties of the limit cycle is closed to the test results, thus it can be applicable to real RCS.
References
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Book
Multiple-Input Describing Functions and Nonlinear System Design
TL;DR: The theory of automatic control has been advanced in important ways during recent years, particularly with respect to stability and optimal control, but these theories do not, however, lay to rest all questions of importance to the control engineer.
Book
Robust Control: The Parametric Approach
TL;DR: This theory allows us to determine if a linear time invariant control system, containing several uncertain real parameters remains stable as the parameters vary over a set and nicely complements the optimal theories as well as Classical Control and considerably extends the range of possibilities available to the control specialist.
Journal ArticleDOI
Robust Control: The Parametric Approach
TL;DR: The development of a new coarse in the control curriculum dealing with the control of systems subject to parametric uncertainty is presented, rich in theoretical content, easy to motivate from a practical standpoint and requires just the right level of mathematics to be taught as a fundamental discipline to engineers and scientists.
Journal ArticleDOI
Nonlinear analysis in the presence of parametric uncertainties
G. Ferreres,V. Fromion +1 more
TL;DR: In this paper, the existence of limit-cycles in a closed loop, which simultaneously contains nonlinearities and parametric uncertainties, is studied. And three methods are presented: detecting a limit-cycle using a necessary condition of oscillation.
Journal ArticleDOI
Stability analysis of systems with multiple nonlinearities
TL;DR: In this paper, a method for using describing functions in a control system with multiple nonlinearities is presented, where the linear system resulting after the proper describing functions have been inserted is analyzed using an "input dependent root locus" which is a modified root-locus technique.