An explicit solution to a class of constrained optimal control problems
Huan Zhang, Peter M Dower
2012 2ND AUSTRALIAN CONTROL CONFERENCE (AUCC) | IEEE | Published : 2012
Optimal control problems that admit closed form solutions are rare so that numerical methods have to be used to obtain an approximate solution in most cases. This paper derives an explicit solution to a class of constrained optimal control problem that arises in the investigation of nonlinear L 2-gain properties. The optimal control problem is a nonlinear problem in ℝ2 even for linear systems in ℝ due to the presence of an L2-norm constraint on the input signals. The solution to the optimal control problem considered is obtained via connection to the parameterized linear H∞-control solutions in ℝ which are explicitly solvable. © 2012 Institute of Engineers.
Awarded by ARC
Awarded by AFOSR
Zhang and Dower are supported by ARC grant DP120101549 and AFOSR grant FA2386-12-1-4084.