TY - JOUR
T1 - Robust stabilization of a class of singularly perturbed discrete bilinear systems
AU - Chiou, Juing Shian
AU - Kung, Fan Chu
AU - Li, Tzuu Hseng S.
N1 - Funding Information:
Manuscript received November 10, 1999; revised December 7, 1998. Recommended by Associate Editor, L. Dai. This work was supported by the National Science Council, Taiwan, R.O.C., under Grant NSC 88-2213-E006-085. The authors are with the Control System Laboratory, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C. (e-mail: [email protected]). Publisher Item Identifier S 0018-9286(00)04215-X.
PY - 2000/6
Y1 - 2000/6
N2 - This paper presents two kinds of robust controllers for stabilizing singularly perturbed discrete bilinear systems. The first one is an ε-dependent controller that stabilizes the closed-loop system for all ε ∈ (0, ε0*), where ε0* is the prespecified upper bound of the singular perturbation parameter. The second one is an ε-independent controller, which is able to stabilize the system in the entire state space for all ε ∈ (0, ε*), where ε* is the exact upper ε-bound. The ε* can be calculated by the critical stability criterion once the robust controller is determined. An example is presented to illustrate the proposed schemes.
AB - This paper presents two kinds of robust controllers for stabilizing singularly perturbed discrete bilinear systems. The first one is an ε-dependent controller that stabilizes the closed-loop system for all ε ∈ (0, ε0*), where ε0* is the prespecified upper bound of the singular perturbation parameter. The second one is an ε-independent controller, which is able to stabilize the system in the entire state space for all ε ∈ (0, ε*), where ε* is the exact upper ε-bound. The ε* can be calculated by the critical stability criterion once the robust controller is determined. An example is presented to illustrate the proposed schemes.
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U2 - 10.1109/9.863604
DO - 10.1109/9.863604
M3 - Article
AN - SCOPUS:0034195671
SN - 0018-9286
VL - 45
SP - 1187
EP - 1191
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 6
ER -