Analysis and Design of Nonlinear Control Systems

pp 109-124

Pseudospectral Optimal Control and Its Convergence Theorems

  • Wei KangAffiliated withNaval Postgraduate School
  • , I. Michael RossAffiliated withNaval Postgraduate School
  • , Qi GongAffiliated withUniverisity of Texas at San Antonio

* Final gross prices may vary according to local VAT.

Get Access


Summary. During the last decade, pseudospectral (PS) optimal control methods have emerged as demonstrable efficient methods for computational nonlinear optimal control. Some fundamental problems on the feasibility and convergence of the Legendre PS method are addressed. In the first part of this paper, we summarize the main results published separately in a series of papers on these topics. Then, a new result on the feasibility and convergence is proved. Different from existing results in the literature, in this new theorem neither the invertibility of necessary conditions nor the existence of limit points is assumed.