Parameter design in optimal control problems for linear dynamic systems using a canonical form

Abstract

Control problems in dynamic systems require optimal selection of input trajectories and the system parameters. In this paper, a novel procedure for optimization of linear dynamic system is proposed that solves simultaneously the parameter design problem and the optimal control problem using a specific system state transformation. Conventional optimization methods are also examined to compare with the proposed method. The limitations and advantages of both methods are discussed in terms of the number of states and inputs. Consequently, linear dynamic system examples are optimized under various constraints and the merits of the proposed method are examined. Copyright © 2011 by ASME.