IEEE Transactions on Automatic Control, Vol.58, No.8, 1986-2000, 2013
Periodic Memory State-Feedback Controller: New Formulation, Analysis, and Design Results
This paper proposes a unified setup for robust stability and performance analysis and synthesis for periodic polytopic discrete-time systems. Relying on a general formulation for state-feedback periodic memory controllers and a new time-lifting, new sufficient LMI conditions for the existence of robust stability certificates and H-2 guaranteed cost control laws are derived. Comparisons of the efficiency of different controller structures illustrate these developments on a numerical example.
Keywords:H-2 guaranteed cost;linear periodic systems;linear matrix inequalities (LMIs);state feedback with memory