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- Title
Sustained oscillations in MIMO nonlinear systems through limit cycle shaping.
- Authors
Hakimi, Ali Reza; Binazadeh, Tahereh
- 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.
- Subjects
NONLINEAR oscillations; MIMO systems; NONLINEAR systems; GEOMETRIC shapes; MATHEMATICAL models
- Publication
International Journal of Robust & Nonlinear Control, 2020, Vol 30, Issue 2, p587
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.4784