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D. X. Gao, G. Y. Tang and Q. Yang, “Approximate Optimal Disturbance Rejection for Bilinear Systems with Persistent Disturbances,” Control and Instruments in Chemical Industry, Vol. 34, No. 2, 2007, pp. 20-24.

has been cited by the following article:

• TITLE: Optimal Control for Time-Delay Bilinear Systems with Sinusoidal Disturbances

  AUTHORS: Dexin Gao, Min Wang, Leilei Li

  KEYWORDS: Time-Delay Bilinear System; Feedback Linearization; Sinusoidal Disturbances; Optimal Control

  JOURNAL NAME: Intelligent Control and Automation, Vol.4 No.1, February 6, 2013

  ABSTRACT: This paper considers the optimal control problem for time-delay bilinear systems affected by sinusoidal disturbances with known frequency and measurable amplitude and phase. Firstly, using the differential homeomorphism, a time-delay bilinear system affected by sinusoidal disturbances is changed to a time-delay pseudo linear system through the coordinate transformation. Then the system with time-delay in control variable is transformed to a linear controllable system without delay using model transformation. At last based on the theory of linear quadratic optimal control, an optimal control law which is used to eliminate the influence of the disturbances is derived from a Riccati equation and Matrix equations. The simulation results show the effectiveness of the method.