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G. Y. Tang, “Suboptimal Control for Nonlinear Systems: A Successive Approximation Approach,” Systems & Control Letters, Vol. 54, No. 5, 2005, pp. 429-434. doi:10.1016/j.sysconle.2004.09.012

has been cited by the following article:

• TITLE: Pulse-Width Pulse-Frequency Based Optimal Controller Design for Kinetic Kill Vehicle Attitude Tracking Control

  AUTHORS: Xingyuan Xu, Yuanli Cai

  KEYWORDS: Attitude Control, Kinetic Kill Vehicle, Linear Quadratic, Pulse-Width Pulse-Frequency

  JOURNAL NAME: Applied Mathematics, Vol.2 No.5, May 6, 2011

  ABSTRACT: The attitude control problem of the kinetic kill vehicle is studied in this work. A new mathematical model of the kinetic kill vehicle is proposed, the linear quadratic regulator technique is used to design the optimal attitude controller, and the pulse-width pulse-frequency modulator is used to shape the continuous control command to pulse or on-off signals to meet the requirements of the reaction thrusters. The methods to select the appropriate parameters of pulse-width pulse-frequency are presented in detail. Numerical simulations show that the performance of the LQR/PWPF approach can achieve good control performance such as pseudo-linear operation, high accuracy, and fast enough tracking speed.