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Z. Aganovic and Z. Gajic, “The Successive Approximation Procedure for Stead State Optimal Control of Bilinear Systems,” Journal of Optimization Theory and Application, Vol. 84, No. 2, 1995, pp. 273-291.

has been cited by the following article:

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

  AUTHORS: Dexin Gao, Qing Yang, Min Wang, Yongmao Yu

  KEYWORDS: Bilinear System; Feedback Linearization; Optimal Control

  JOURNAL NAME: Intelligent Control and Automation, Vol.3 No.3, August 30, 2012

  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.