計測自動制御学会論文集
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Applications of the Eigenvalue Theorem on Approximate Optimizations of Nonlinear Regulators
Teturo ITAMI
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2003 年 39 巻 3 号 p. 234-243

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A practical algorithm utilizing the theorem obtained in an eigenvalue analysis of nonlinear control is proposed. This theorem on the feedback optimization of nonlinear control systems by only one eigenfunction is enforced by an analytic continuation of the designer's constant HR. Using this method of HR=iHR, typical Affine systems with 1-input and 2-states and with nonlinearities both in state equations of van-der-Pol type and in nonquadratic cost functions are optimized by feedback input. Accordingly, this report presents an algorithm to apply the eigenvalue theorem on the feedback optimization of nonlinear control systems.
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© The Society of Instrument and Control Engineers (SICE)
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