Artículos de revistas
H2 Control For Discrete-time Systems Optimality And Robustness
Registro en:
Automatica. , v. 29, n. 1, p. 225 - 228, 1993.
51098
10.1016/0005-1098(93)90186-W
2-s2.0-0027245122
Autor
Peres P.L.D.
Geromel J.C.
Institución
Resumen
This paper proposes a new approach to determine H2 optimal control for discrete-time linear systems, based on convex programming. It is shown that all stabilizing state feedback control gains belong to a certain convex set, well-defined in a special parameter space. The Linear Quadratic Problem can be then formulated as the minimization of a linear objective over a convex set. The optimal solution of this convex problem furnishes, under certain conditions, the same feedback control gain which is obtained from the classical discrete-time Riccati equation solution. Furthermore, the method proposed can also handle additional constraints, for instance, the ones needed to assure asymptotical stability of discrete-time systems under actuators failure. Some examples illustrate the theory. © 1992. 29 1 225 228 Anderson, Moore, (1971) Linear Optimal Control, , Prentice Hall, Englewood Cliffs, NJ Bernussou, Peres, Geromel, A linear programming oriented procedure for quadratic stabilization of uncertain systems (1989) Systems and Control Letters, 13, pp. 65-72 Dorato, Levis, Optimal linear regulators the discrete time case (1971) IEEE Transactions on Automatic Control, 16, pp. 613-620 Geromel, Peres, Bernussou, On a convex parameter space method for linear control design of uncertain systems (1991) SIAM J. on Control and Optimiz., 29, pp. 381-402 Kwakernaak, Sivan, (1972) Linear Optimal Control Systems, , John Wiley, New York Luenberger, (1973) Introduction to Linear Programming, , Addison-Wesley, Reading, MA