A gametheoretic approach for non-uniform pole shifting and pole homothety
نویسندگان
چکیده
منابع مشابه
A gametheoretic approach for non-uniform pole shifting and pole homothety
This paper investigates the problems of non-uniform pole shifting or pole homothety in multivariable linear systems by using a gametheoretic approach and more specifically a particular Nash strategy with an open-loop information structure for a game including a time preference rate in the quadratic criteria. Such a result is possible due to properties of non–symmetric Algebraic Riccati equation...
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By defining a special differential Nash game with an open-loop information structure scheme, a simple and direct method to obtain non-uniform multiple pole shifting for linear multivariable systems is presented. The approach is based on exploiting some properties of nonsymmetric algebraic Riccati equations associated with the Nash game. Combining solutions of such equations gives, in a single s...
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The results developed in this note also apply to multiinput multioutput systems using unity-rank output feedback matrices. Example: For the system [I] A. Jameson, "Design of singbinput systems for specilied roots using output feedback," IEEE Tram. Automat. Conrr., vol. AC-15, pp. 345-348, 1970. [Z] E. J. Davison, "On pole assignment in linear systems with incomplete state feedback," IEEE Tram. ...
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ژورنال
عنوان ژورنال: Automatica
سال: 2013
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2012.09.021