Stability and Optimal Feedback Controls for Time-Delayed Linear Periodic Systems

摘要

An effective numerical method for stability analysis of feedback controls with time delay and for identifying optimal gains of the control is presented. The method develops a mapping of the system response in a finite dimensional state space. Minimization of the largest absolute value of eigenvalues of the mapping leads to optimal control gains. Numerical examples of both time-invariant and periodic linear systems are presented to demonstrate the method. We have found that the proposed method provides accurate stability boundaries and performance contours in the parametric space of control gains.