Fundamental properties of reset control systems
By O. Beker, Christopher V. Hollot, Y. Chait, Huaizhong Han. at - Automatisierungstechnik, 2004
336 citations recorded by the source corpus.
Abstract Reset controllers are linear controllers that reset some of their states to zero when their input is zero. We are interested in their feedback connection with linear plants, and in this paper we establish fundamental closed-loop properties. This paper considers more general reset structures than previously considered, allowing for higher-order controllers and partial-state resetting. It gives a testable necessary and sufficient condition for quadratic stability and links it to uniform bounded-input bounded-output state stability. Unlike previous related research, which includes the study of impulsive differential equations, our stability results require no assumptions on the evolution of reset times.
Subfields: Computer Networks and Communications, Public Health, Environmental and Occupational Health, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/0590752c8fcaa512bc7dba14bc979574f6ca5823
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computer Networks and Communications
- W. M. Heemels
- Andrew R. Teel
- Dragan Nesic
- Qing-Long Han
- Emilia M. Fridman
- Alexandre Seuret
- M.C.F. Donkers
- Xianming Zhang
In Statistical and Nonlinear Physics
Citations in the corpus
- Analytical and numerical Lyapunov functions for SISO linear control systems with first‐order reset elements (2011, methodology): “The closed-loop system (1), (2), (3) is of interest because it falls into the category of linear reset control systems that received much attention in the recent years (see [12, 13] and the references therein).”
- Performance analysis of reset control systems (2010, methodology): “A clear overview of this line of work on reset systems is provided in [16].”