Sandwich control systems with impulse time windows

abstract

• 2016, Springer-Verlag Berlin Heidelberg. In this paper, we formulate a new system, named by sandwich control system with impulse time windows. The present system is a cyclic control system, composed of three parts in a round: the first and last parts are continuous subsystems, while the middle one includes an impulsive operation. Different from the most existing results for impulsive systems, we assume that the impulse moments are unknown but limited to certain intervals (namely, impulse time windows). We then study the stability of the considered systems and obtain an exponential stability criterion in terms of a set of linear matrix inequalities. As a numerical example, Chua oscillator is stabilized by the proposed method.

authors

• Huang, Tingwen

published proceedings

• INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS

author list (cited authors)

• Feng, Y., Li, C., & Huang, T.

citation count

• 25

complete list of authors

• Feng, Yuming||Li, Chuandong||Huang, Tingwen

publication date

• December 2017

publisher

• Springer Nature  Publisher

published in

• International Journal of Machine Learning and Cybernetics  Journal

keywords

• Chua's Oscillator
• Exponential Stabilization
• Impulse Time Windows
• Lyapunov Function
• Sandwich Control System

Digital Object Identifier (DOI)

• 10.1007/s13042-016-0580-5

start page

• 2009

end page

• 2015

volume

• 8

issue

• 6

URL

• http://dx.doi.org/10.1007/s13042-016-0580-5