Comments on ‘State feedback ${\mathcal H}_{\infty } \;$H∞ control design of continuous-time switched affine systems’

This note presents important aspects that should be taken into account in the comparative study on stability conditions of switched affine systems with ${\mathcal H}_{\infty } \;$H∞ performance presented in the aforementioned paper. Using a numerical example, it is demonstrated that stability condit...

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Bibliographic Details
Published in:IET control theory & applications 2017-10, Vol.11 (15), p.2668-2669
Main Authors: Scharlau, César C, Dezuo, Tiago J.M, Trofino, Alexandre
Format: Article
Language:English
Subjects:
Comment
continuous time systems
continuous‐time switched affine systems
control system synthesis
H∞ control
Lyapunov function
Lyapunov methods
max‐type composition
stability
stability conditions
state feedback
state feedback H∞ control design
switching rule
switching systems (control)
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Summary:This note presents important aspects that should be taken into account in the comparative study on stability conditions of switched affine systems with ${\mathcal H}_{\infty } \;$H∞ performance presented in the aforementioned paper. Using a numerical example, it is demonstrated that stability conditions for switched affine systems obtained from a max-type composition to define both the Lyapunov function and switching rule are not necessarily more conservative than the ones obtained from a quadratic Lyapunov function and a min-type composition to define the switching rule.
ISSN:1751-8644
1751-8652
DOI:10.1049/iet-cta.2016.1259