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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Journal ArticleDOI
Performance improvement by optimal reset dynamic output feedback control based on model predictive strategy
Sepide Yazdi,Alireza Khayatian +1 more
TL;DR: The proposed method is applied to two different systems: continuous stirred tank reactor and distillation column and an optimization problem based on model prediction strategy is solved for finding the after reset value at each reset time.
Journal ArticleDOI
Quadratic Stability of Uncertain Reset Control Systems
TL;DR: In this article, the authors consider quadratically robust stability of reset control systems with uncertain output matrices and show that the necessary and sufficient condition for a reset control system to be stable is that the vertices of the uncertain set share a common block diagonal Lyapunov function.
Stability criteria for planar linear systems with state reset
TL;DR: This work defines necessary and sufficient conditions for stability of the switched linear system with fixed and arbitrary dynamics in the location.
Proceedings Article
Stability analysis of nonlinear reset control systems with smooth baseline modes
Yuqian Guo,Wei He +1 more
TL;DR: In this article, it is shown that, if only a weak Lyapunov function is available to prove the stability of the baseline system, then the asymptotical stability can be still assured provided that the reset mapping is dissipative and the baseline dynamics is smooth enough.
Book ChapterDOI
Design of Reset Control Systems
Alfonso Baños,Antonio Barreiro +1 more
TL;DR: This chapter introduces a new reset compensator, referred to as PI + CI, which basically consists of adding a Clegg integrator to a PI compensator with the goal of improving the closed-loop response by using the nonlinear characteristic of this element.
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