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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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