论文信息 - Two-Riccati formulae for the discrete-time H∞ -control problem

Two-Riccati formulae for the discrete-time H∞ -control problem

A two-Riccati state-space approach to the discrete-time H∞ control problem is presented. The main theoretical tool is the Kalman-Szego-Popov-Yakubovich system written in adequate forms in order to reduce the problems to a standard form for which the solutions are easily obtained. The necessity part of our main results uses a 'signed' counterpart of the positivity theorem.

V. Ionescu | M. Weiss

[1] R. Redheffer. On a Certain Linear Fractional Transformation , 1960 .

[2] S. Parrott,et al. On a quotient norm and the Sz.-Nagy-Foiaş lifting theorem , 1978 .

[3] A. Laub,et al. On the numerical solution of the discrete-time algebraic Riccati equation , 1980 .

[4] B. Francis,et al. A Course in H Control Theory , 1987 .

[5] J. Doyle,et al. Linear control theory with an H ∞ 0E optimality criterion , 1987 .

[6] K. Glover,et al. State-space formulae for all stabilizing controllers that satisfy and H ∞ norm bound and relations to risk sensitivity , 1988 .

[7] M. Safonov,et al. SIMPLIFYING THE H" THEORY VIA LOOP SHIFTING* , 1988 .

[8] K. Glover,et al. Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty , 1989 .

[9] P. Khargonekar,et al. State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[10] Michael Green,et al. Discrete-time H/sup infinity / control , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[11] Michael Green,et al. Discrete time H∞ control , 1989 .

[12] I. Postlethwaite,et al. State-space formulae for discrete-time H∞ optimization , 1989 .

[13] Gilead Tadmor,et al. Worst-case design in the time domain: The maximum principle and the standardH∞ problem , 1990, Math. Control. Signals Syst..