5 research outputs found
Alternate control systems
Abstract
The exponential stability of a class of nonlinear systems by means of alternate control is studied. An exponential stability criterion is given in terms of a set of linear matrix inequalities. Numerical simulations are presented to verify the correction of the obtained results.</jats:p
Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems
The generalized Kalman-Yakubovich-Popov lemma as established by Iwasaki and
Hara in 2005 marks a milestone in the analysis and synthesis of linear systems
from a finite-frequency perspective. Given a pre-specified frequency band, it
allows us to produce passive controllers with excellent in-band disturbance
attenuation performance at the expense of some of the out-of-band performance.
This paper focuses on control design of linear systems in the presence of
disturbances with non-strictly or non-stationary limited frequency spectrum. We
first propose a class of frequency-dependent excited energy functions (FD-EEF)
as well as frequency-dependent excited power functions (FD-EPF), which possess
a desirable frequency-selectiveness property with regard to the in-band and
out-of-band excited energy as well as excited power of the system. Based upon a
group of frequency-selective passive controllers, we then develop a
frequency-dependent switching control (FDSC) scheme that selects the most
appropriate controller at runtime. We show that our FDSC scheme is capable to
approximate the solid in-band performance while maintaining acceptable
out-of-band performance with regard to global time horizons as well as
localized time horizons. The method is illustrated by a commonly used benchmark
model
Stabilization of systems with switchings on the axis of their coordinates and its input-to-state properties
International audienceThe stabilization problem for switched systems in which switchings occur on the axes of its state coordinates is considered. It is shown that a linear feedback, or a combination of linear feedback and a switching law, can be designed such that the closed-loop is stable, and has the input-to-state property, allowing to guarantee robustness against matched and unmatched perturbations. The conditions of stability are expressed in the form of linear matrix inequalities. The results are illustrated by numerical simulations