论文信息 - Exact unidirectional perturbation bounds for robust stability of uncertain generalized state-space systems

Exact unidirectional perturbation bounds for robust stability of uncertain generalized state-space systems

The robustness of uncertain generalized state-space systems is investigated in this paper. By transforming the robustness problem to a rank problem, we provide a simple method to find the exact unidirectional perturbation bounds under which the stability, regularity, and impulse immunity are simultaneously preserved. The bound can be obtained in a closed form. The familiar result developed by Fu-Barmish (1988) becomes a special case of ours.

[1] Joe Brewer,et al. Kronecker products and matrix calculus in system theory , 1978 .

[2] Robust eigenvalue assignment in generalized systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[3] Chun-Hsiung Fang,et al. An improved bound for stability robustness of uncertain generalized state-space systems , 1994, Proceedings of 1994 American Control Conference - ACC '94.

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

[5] Edward J. Davison,et al. The stability robustness of generalized eigenvalues , 1992 .

[6] N. Nichols,et al. Robust control system design for generalized state-space systems , 1986, 1986 25th IEEE Conference on Decision and Control.

[7] B. Barmish,et al. Maximal unidirectional perturbation bounds for stability of polynomials and matrices , 1988 .

[8] A. Tits,et al. Mixed One-and Two-Sided Real Uncertainty: A Vertex Result , 1992, 1992 American Control Conference.

[9] C. Fang,et al. Analysis of stability robustness for generalized state-space systems with structured perturbations , 1993 .

[10] Regional pole-clustering robustness for uncertain generalized state-space systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

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

[12] A. Laub,et al. The linear-quadratic optimal regulator for descriptor systems , 1987 .