论文信息 - Towards Minimal-Order Stabilizers for All-Pole Plants

Towards Minimal-Order Stabilizers for All-Pole Plants

Abstract In this paper, a lower bound is derived on the order of stabilizers for an all-pole plant and is related to the number and locations of the plant's unstable and lightly-damped poles. In case that the plant has γ unstable real poles, the bound becomes (γ - 1). Further, it is also shown that the minimal order of stabilizers is ( n - 1) if all n poles of the plant are real and unstable. Several examples are included to illustrate the results.

Qing-Guo Wang | Tong Heng Lee | Jian-Bo He

[1] Malcolm C. Smith. Stabilization by reduced-order controllers , 1991 .

[2] H. Kimura. Pole assignment by gain output feedback , 1975 .

[3] Ian Postlethwaite,et al. Low-order stabilizing controllers , 1993, IEEE Trans. Autom. Control..

[4] Tong-heng Lee,et al. An iterative algorithm for pole placement by output feedback , 1994, IEEE Trans. Autom. Control..

[5] Malcolm C. Smith. On Minimal Order Stabilization of Single Loop Plants , 1986, 1986 American Control Conference.

[6] Arno Linnemann,et al. A class of single-input single-output systems stabilizable by reduced-order controllers , 1988 .

[7] Lee H. Keel,et al. State-space design of low-order stabilizers , 1990 .

[8] Malcolm C. Smith,et al. On the order of stable compensators , 1986, Autom..

[9] Tong Heng Lee,et al. Pole assignment by output feedback: A solution for 2 × 2 plants , 1993, Autom..