论文信息 - Eigenstructure assignment in linear descriptor systems

Eigenstructure assignment in linear descriptor systems

Given a linear controllable system Ex/spl dot/=Fx+Gu, we study the limits of linear proportional feedback u=Kx+/spl upsi/ in assigning a desired finite and infinite eigenstructure of the closed-loop system Ex/spl dot/=(F+GK)x+G/spl upsi/. The closed-loop system is not restricted to be regular; its rank makes part of the specifications. Necessary and sufficient conditions are established for the existence of a feedback gain K which assigns the desired eigenstructure, and a procedure is outlined to calculate one such gain. >

V. Kucera | V. Kučera | P. Zagalák | P. Zagalak

[1] D. Flamm,et al. A new proof of Rosenbrock's theorem on pole assignment , 1980 .

[2] K. Ozcaldiran. Fundamental theorem of linear state feedback for singular systems , 1990, 29th IEEE Conference on Decision and Control.

[3] A. C. Pugh,et al. Necessary conditions for the general pole placement problem via constant output feedback , 1990 .

[4] Vladimír Kučera,et al. Fundamental theorem of state feedback for singular systems , 1987, Autom..

[5] H. Rosenbrock,et al. State-space and multivariable theory, , 1970 .

[6] B. Dickinson,et al. On the fundamental theorem of linear state variable feedback , 1974 .

[7] F. Lewis. A survey of linear singular systems , 1986 .

[8] Petr Zagalák,et al. Fundamental theorem of proportional state feedback for descriptor systems , 1992, Kybernetika.

[9] Vladimír Kucera,et al. Assigning the invariant factors by feedback , 1981, Kybernetika.

[10] Thomas Kailath,et al. Linear Systems , 1980 .

[11] VLADIMÍR KUČERA,et al. Constant solutions of polynomial equations , 1991 .

[12] V. Kučera,et al. Reachability and controllability indices for linear descriptor systems , 1990 .

[13] T. Kailath,et al. A generalized state-space for singular systems , 1981 .

[14] Pavel Pudil,et al. Statistical approach to pattern recognition: Theory and practical solution by means of PREDITAS system , 1991, Kybernetika.