Comments on ‘State feedback      H     ∞       control design of continuous‐time switched affine systems’ | Zendy

Scharlau César C. | Zendy; Dezuo Tiago J.M. | Zendy; Trofino Alexandre | Zendy

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Comments on ‘State feedback H ∞ control design of continuous‐time switched affine systems’

Author(s) -

Scharlau César C.,

Dezuo Tiago J.M.,

Trofino Alexandre

Publication year - 2017

Publication title -

iet control theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.059

H-Index - 108

eISSN - 1751-8652

pISSN - 1751-8644

DOI - 10.1049/iet-cta.2016.1259

Subject(s) - control theory (sociology) , affine transformation , lyapunov function , quadratic equation , stability (learning theory) , mathematics , state (computer science) , lyapunov redesign , control lyapunov function , function (biology) , control (management) , computer science , algorithm , nonlinear system , artificial intelligence , pure mathematics , physics , geometry , quantum mechanics , machine learning , evolutionary biology , biology

This note presents important aspects that should be taken into account in the comparative study on stability conditions of switched affine systems withH∞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.

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