Sub-Optimal Control for Nonlinear Heat Equations

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.

• Periodical: Applied Mechanics and Materials (Volumes 217-219)
• Pages: 2488-2491
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.217-219.2488
• Online since: November 2012
• Authors: Xi Ju Zong, Xin Gong Cheng, Yong Zhang
• Keywords: Controllability, Nonlinear Heat Equation, Sub-Optimal Control, Successive Approximation Approach

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