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• W1973260322 startingPage "2488" @default.
• W1973260322 abstract "This paper presents a successive approximation approach (SAA) designing optimal controllers for a class of nonlinear heat equations with a quadratic performance index. By using the SAA, the optimal control problem for nonlinear heat equations is transformed into a sequence of nonhomogeneous linear differential Riccati operator equations. The optimal control law obtained consists of an accurate linear feedback term and a nonlinear compensation term which is the limit of an adjoin vector sequence. By using the finite-step iteration of the nonlinear compensation sequence, we can obtain a suboptimal control law." @default.
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• W1973260322 date "2012-11-12" @default.
• W1973260322 modified "2023-09-26" @default.
• W1973260322 title "Sub-Optimal Control for Nonlinear Heat Equations" @default.
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• W1973260322 doi "https://doi.org/10.4028/www.scientific.net/amm.217-219.2488" @default.
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