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Title: Suboptimal Design of a Nonlinear Feedback System
Authors: NISHIKAWA, Yoshikazu
SANNOMIYA, Nobuo
ITAKURA, Hidekiyo
Issue Date: 30-Sep-1970
Publisher: Faculty of Engineering, Kyoto University
Journal title: Memoirs of the Faculty of Engineering, Kyoto University
Volume: 32
Issue: 3
Start page: 334
End page: 347
Abstract: A method is developed for the approximate design of an optimal state regulator for a nonlinear system with quadratic performance index. The nonlinearity is taken to be a perturbation to the system. By making use of a power-series expansion in a small parameter, matrix equations are derived for the stepwise determination of a suboptimal feedback law. Given a polynomial nonlinearity of an arbitrary form, explicit solutions have been obtained for those matrix equations. A necessary and sufficient condition for the existence and uniqueness of the solution is also shown. Further, the performance analysis reveals the fact that the l-th order approximation in the feedback law results in the (2l+1)th order approximation to the optimal performance index. The method may effectively be used in a computer programmed computation.
URI: http://hdl.handle.net/2433/280827
Appears in Collections:Vol.32 Part 3

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