Title
The Problem of Invariance in Nonlinear Discrete-Time Dynamic Systems.
Abstract
The paper considers the problem of invariance with respect to the unknown input for discrete-time nonlinear dynamic systems. To solve the problem, the algebraic approaches, called algebra of functions and logic-dynamic approach, are used. Such approaches assume that description of the system may contain non-differentiable functions. Necessary and sufficient conditions of solvability the problem are obtained. Moreover, procedures which find the appropriate functions and matrices are developed. Some applications of such invariance in fault detection and isolation, disturbance decoupling problem, and fault-tolerant control are considered.
Year
DOI
Venue
2020
10.3390/sym12081241
SYMMETRY-BASEL
Keywords
DocType
Volume
nonlinear dynamic systems,invariance,unknown input,discrete-time systems,algebraic approaches
Journal
12
Issue
Citations 
PageRank 
8
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Alexey N. Zhirabok100.34