Dead-beat control of discrete-time bilinear systems †

作者: O. M. GRASSELLI , A. ISIDORI , F. NIC LÒ

DOI: 10.1080/00207178008922840

关键词:

摘要: The subject, of this paper is the dead-beat control discrete-time bilinear systems with independent additive and multiplicative controls. first, issue proof that controllability to origin a necessary sufficient existence condition, controller can be chosen, without loss generality, two-layer structure. Then, system shown equivalent homogeneous subsystems, obtained through successive decompositions it. Thus, problem finding reduced zeroing state these subsystems. Lastly, some conditions for special type are given.

参考文章(11)
Alberto Isidori, Antonio Ruberti, Realization Theory of Bilinear Systems Geometric Methods in System Theory. pp. 83- 130 ,(1973) , 10.1007/978-94-010-2675-8_3
J.C. Willems, W.H. Hesselink, Generic Properties of the Pole Placement Problem IFAC Proceedings Volumes. ,vol. 11, pp. 1725- 1729 ,(1978) , 10.1016/S1474-6670(17)66142-1
O.M. Grasselli, A. Isidori, F. Nicolo, Paper: Output regulation of a class of bilinear systems under constant disturbances Automatica. ,vol. 15, pp. 189- 195 ,(1979) , 10.1016/0005-1098(79)90069-4
B. PORTER, A. BRADSHAW, Design of dead-beat controllers and full-order observers for linear multivariable discrete-time plants International Journal of Control. ,vol. 22, pp. 149- 155 ,(1975) , 10.1080/00207177508922071
T. Tarn, D. Elliott, T. Goka, Controllability of discrete bilinear systems with bounded control IEEE Transactions on Automatic Control. ,vol. 18, pp. 298- 301 ,(1973) , 10.1109/TAC.1973.1100317
M. Evans, D. Murthy, Controllability of a class of discrete time bilinear systems IEEE Transactions on Automatic Control. ,vol. 22, pp. 78- 83 ,(1977) , 10.1109/TAC.1977.1101408
T. Goka, T.J. Tarn, J. Zaborszky, On the controllability of a class of discrete bilinear systems Automatica. ,vol. 9, pp. 615- 622 ,(1973) , 10.1016/0005-1098(73)90046-0
Eduardo D. Sontag, On the Observability of Polynomial Systems, I: Finite-Time Problems SIAM Journal on Control and Optimization. ,vol. 17, pp. 139- 151 ,(1979) , 10.1137/0317011
H. SERAJI, Deadbeat control of discrete-time systems using output feedback International Journal of Control. ,vol. 21, pp. 213- 223 ,(1975) , 10.1080/00207177508921982
B. Leden, Brief paper: Multivariable dead-beat control Automatica. ,vol. 13, pp. 185- 188 ,(1977) , 10.1016/0005-1098(77)90043-7