Commuting matrices, equilibrium points for control systems with single saturated input

Guo Shuli, Irene Moroz, Han Lina, Xin Wenfang and Feng Xianjia

Applied Mathematics and Computation, 2015, vol. 259, issue C, 987-1002

Abstract: In this paper, commutative matrices of multiple input multiple output (MIMO) linear systems are considered. The existence of the feedback matrices of a commutative state matrix set in the MIMO closed-loops is reduced to the existence of an invariant subspace of a matrix A. The existence of feedback matrices in systems in open-loop is equivalent to the existence of the solution of matrix equations denoted by Kronecker products. By defining new equilibrium points, the relationship between equilibrium points are discussed for a linear system with a single saturated input. Four criteria for equilibrium points are outlined for such linear systems. Finally, four interesting examples, including their corresponding simulink plots, are shown to illustrate the above results.

Keywords: Commutative matrices; Saturated system; Asymptotic stability; Genuine stable; Spurious stable; Equilibrium points (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315002751
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:987-1002

DOI: 10.1016/j.amc.2015.02.075

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().