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The optimal control for a nonlinear system using the feedback linearization  

Lee, Jong-Yong (Division of General Education, Kwang-woon University)
Lee, Won-Seok (School of Electrical Engineering, Dongyang Technical College)
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Abstract
Nonlinear optimal control problems lead to Hamilton-Tacobi equations which are not analytically solvable for most practical problems. This difficulty has led to the development of suboptimal nonlinear design techniques such as controller design based on feedback linearization(FL). In this paper, we present some simple examples where the optimal answer can be found for the optimal controller, FL controller and linear controller and determine its relative performance. As a result, we get the condition of a nonlinear system for the FL controller to an optimal design.
Keywords
nonlinear system; feedback linearization; optimal control;
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