On α- and D-negative imaginary systems
نویسندگان
چکیده
This paper is concerned with α– and D–negative imaginary systems. The definition of α–negative imaginary transfer functions is firstly introduced. Then, the relationship between negative imaginary and α–negative imaginary transfer functions is studied. By means of the generalized inverse, an α–negative imaginary lemma is proposed to test the α–negative imaginary property of transfer functions. Also, a necessary and sufficient condition is provided for the α–stability of interconnection of negative imaginary systems. A state-feedback controller design condition is established such that the resulting system is α– negative imaginary. Moreover, the concept of α–negative imaginary transfer functions is extended to that of D–negative imaginary transfer functions. Finally, the developed results are illustrated by numerical examples.
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ورودعنوان ژورنال:
- Int. J. Control
دوره 88 شماره
صفحات -
تاریخ انتشار 2015