Optimal Control Designs for a Class of Nonviscously Damped Systems

A scheme for optimal control problem formulation of a class of nonviscously damped system using pseudo-state-space formulation is presented in this paper.Taking the exponentially damped system of nonviscously damped system as an example,a new state space representation is applied to the n-order exponentially damped system.The necessary conditions for the optimality of the exponentially damped system are obtained.A numerical example of a single degree of freedom exponentially damped system is considered to illustrate the methodology and technique.