Title :
Periodic Memory State-Feedback Controller: New Formulation, Analysis, and Design Results
Author :
Tregouet, Jean-Francois ; Peaucelle, Dimitri ; Arzelier, Denis ; Ebihara, Yoshio
Author_Institution :
LAAS, Toulouse, France
Abstract :
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 H2 guaranteed cost control laws are derived. Comparisons of the efficiency of different controller structures illustrate these developments on a numerical example.
Keywords :
control system analysis; control system synthesis; discrete time systems; linear matrix inequalities; robust control; state feedback; H2 guaranteed cost control law; controller analysis; controller design; controller formulation; linear matrix inequality; periodic memory state-feedback controller; periodic polytopic discrete-time system; robust stability; robust stability certificate; sufficient LMI condition; time-lifting; Analytical models; Periodic structures; Robust stability; Robustness; Stability analysis; Uncertainty; Vectors; ${cal H}_{2}$ guaranteed cost; linear matrix inequalities (LMIs); linear periodic systems; state feedback with memory;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2251820
