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Sustained oscillations in MIMO nonlinear systems through limit cycle shaping.

Authors :
Hakimi, Ali Reza
Binazadeh, Tahereh
Source :
International Journal of Robust & Nonlinear Control; 1/25/2020, Vol. 30 Issue 2, p587-608, 22p
Publication Year :
2020

Abstract

Summary: This paper studies on generating periodic behaviors through shaping stable limit cycles in multiple‐input‐multiple‐output nonlinear systems. For this purpose, first, limit cycles are shaped with respect to the desired sustained oscillations of the system's outputs. Then, the Lyapunov analyses, which are appropriate for stability analysis of invariant sets, are employed to design the control law and conclude the asymptotic convergence toward the predefined limit cycles. The problem is studied in two cases. In the first case, some assumptions in the mathematical model are assumed that leads to simplification in the design procedure. In the second case, the design procedure is discussed in more general cases. Finally, the validity and performance of the proposed method for shaping limit cycles with different geometric shapes are illustrated by computer simulations for practical and numerical examples. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10498923
Volume :
30
Issue :
2
Database :
Complementary Index
Journal :
International Journal of Robust & Nonlinear Control
Publication Type :
Academic Journal
Accession number :
140300244
Full Text :
https://doi.org/10.1002/rnc.4784