Feedback Linearization Optimal Control Approach for Bilinear Systems in CSTR Chemical Reactor

Dexin Gao, Qing Yang, Min Wang, Yongmao Yu

College of Automation and Electronic Engineer, Qingdao University of Science & Technology, Qingdao, China.
Department of Computer Engineering, Qingdao Technological University Qingdao College, Qingdao, China.

DOI: 10.4236/ica.2012.33031                

Abstract

This paper considers the optimal control problem for the bilinear system based on state feedback. Based on the concept of relative order of the output with respect to the input, first we change a bilinear system to a pseudo linear system model through the coordinate transformation. Then based on the theory of linear quadratic optimal control, the optimal controller is designed by solving the Riccati equation and introducing state feedback with state prediction. At last, the simulation results in CSTR Chemical reactor show the effectiveness of the method.

Keywords

Bilinear System; Feedback Linearization; Optimal Control

Conflicts of Interest

The authors declare no conflicts of interest.

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