Numerical solutions of optimal control for linear time-varying systems with delays via hybrid functions

作者：Wang Xing Tao^*

来源：Journal of the Franklin Institute, 2007, 344(7): 941-953.

DOI：10.1016/j.jfranklin.2007.03.001

• general block-pulse functions
• Legendre polynomials
• linear time-varying systems with delays
• optimal control

By applying hybrid functions of general block-pulse functions and Legendre polynomials, the linear-quadratic problem of linear time-varying systems with delays are transformed into the optimization problem of multivariate functions. The approximate solutions of the optimal control and state as well as the optimal value of the objective functional are derived. The numerical examples illustrate that the algorithms are valid.

• 出版日期2007-10
• 单位哈尔滨工业大学