Journal ArticleDOI
Non-linear design for cost of feedback reduction in systems with large parameter uncertainty †
Isaac Horowitz,Patrick Rosenbaum +1 more
TLDR
In this paper, a non-linear first-order reset element (FORE) is used to reduce the feedback loop transmission bandwidth of linear, minimum-phase plants with large parameter uncertainty.Abstract:
Feedback systems containing linear, minimum-phase plants with large parameter uncertainty may be designed to achieve specified performance tolerances over the entire range of parameter uncertainty. The principal ‘cost of feedback’ is in the feedback loop bandwidth, which is generally much larger than that of the system as a whole. This makes the system very sensitive to sensor noise and high-frequency parasitics. It is shown how a non-linear ‘first-order reset element’ (FORE) may be used to drastically decrease the feedback loop transmission bandwidth. One is logically led to FORE by simple, linear feedback frequency response concepts. The paper assumes that the primary design problem is to satisfy quantitative response tolerances to command inputs. However, disturbances at the plant are not neglected, but the specification on such disturbances is in the damping of the step response. An important feature of the non-linear design is that the system response to command inputs is almost exactly that of a lin...read more
Citations
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Proceedings ArticleDOI
Nonlinear robust control of offshore wind turbines based on flat filtering and reset compensation
TL;DR: Simulation results show that the controller based on flatness and reset mechanism is able to greatly reduce rotor speed and power variations in full load conditions and perfect wind preview.
Posted Content
Optimal Tuning of a Class of Reset Controllers using Higher-Order Describing Function Analysis: Application in Precision Motion Systems.
TL;DR: An optimal tuning method for a class of reset controllers including a novel low-pass filter, is proposed using the recently developed frequency domain method which is applicable to analyze closed-loop performances of these controllers.
Book ChapterDOI
Frequency domain synthesis and design
TL;DR: This chapter features about 40 examples and worked-out problems, many of them with unstable and NMP plants, as well as over 400 exercises to enhance the learning of the reader.
Posted Content
Time regularization as a solution to mitigate quantization induced performance degradation.
TL;DR: It is estimated by numerical simulations that time regularization can reduce quantization induced performance degradation by almost 10dB, which is equivalent to a reduction of several dB for the high precision motion stage.
Proceedings ArticleDOI
Complex-order Reset Control System
TL;DR: In this article , the authors proposed a reset element and a tuning method to approximate a Complex-Order Controller (CLOC) and, through a simulation example, showed the benefits of using such a controller.
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
Synthesis of feedback systems
TL;DR: Synthesis of feedback systems, Synthesis of Feedback Systems, this article, synthesis of feedback system, feedback system synthesis, feedback synthesis, synthesizing feedback systems, مرکز فناوری اطلاعات و اسلاز رسانی
Journal ArticleDOI
Synthesis of feedback systems with large plant ignorance for prescribed time-domain tolerances†
Isaac Horowitz,Marcel Sidi +1 more
TL;DR: The design procedure is quite transparent, providing the designer with the insight to make necessary tradeoffs, at every step in the design process, based on frequency response concepts.
Journal ArticleDOI
Synthesis of a non-linear feedback system with significant plant-ignorance for prescribed system tolerances†
K. R. Krishnan,Isaac Horowitz +1 more
TL;DR: In this article, the authors investigated the use of the nonlinear device known as the Clegg integrator in the design of a nonlinear feedback system, which minimizes the effect of white sensor noise on the input to the plant.
Related Papers (5)
Fundamental properties of reset control systems
Synthesis of a non-linear feedback system with significant plant-ignorance for prescribed system tolerances†
K. R. Krishnan,Isaac Horowitz +1 more