We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Conditions for stabilizability of time‐delay systems with real‐rooted plant.
- Authors
Balogh, Tamas; Boussaada, Islam; Insperger, Tamas; Niculescu, Silviu‐Iulian
- Abstract
In this article we consider the γ‐stabilization of nth‐order linear time‐invariant dynamical systems using multiplicity‐induced‐dominancy‐based controller design in the presence of delays in the input or the output channels. A sufficient condition is given for the dominancy of a real root with multiplicity at least n+1 and at least n using an integral factorization of the corresponding characteristic function. A necessary condition for γ‐stabilizability is analyzed utilizing the property that the derivative of a γ‐stable quasipolynomial is also γ‐stable under certain conditions. Sufficient and necessary conditions are given for systems with real‐rooted open‐loop characteristic function: the delay intervals are determined where the conditions for dominancy and γ‐stabilizability are satisfied. The efficiency of the proposed controller design is shown in the case of a multilink inverted pendulum.
- Subjects
INVERTED pendulum (Control theory); LINEAR dynamical systems; CHARACTERISTIC functions
- Publication
International Journal of Robust & Nonlinear Control, 2022, Vol 32, Issue 6, p3206
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.5698