抄録
In this paper, we analyze stability and £ 2 gain properties for discrete-time linear time-invariant (LTI) systems controlled by a pre-designed dynamical output feedback controller which fails from time to time due to physical or purposeful reason. Our aim is to find conditions concerning controller failure time, under which the system's stability and £ 2 gain properties are preserved to a desired level. For stability, by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant and the average time interval between controller failures (ATBCF) is large enough, then global exponential stability of the system is guaranteed. For £ 2 gain, also by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant, then the system with an ATBCF achieves a reasonable weighted £ 2 gain level, and the weighted £2 gain approaches normal £ 2 gain when the ATBCF is sufficiently large.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 545-550 |
| ページ数 | 6 |
| ジャーナル | IFAC Proceedings Volumes (IFAC-PapersOnline) |
| 巻 | 37 |
| 発行部数 | 11 |
| DOI | |
| 出版物ステータス | Published - 2004 1 1 |
| イベント | 10th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems: Theory and Applications, LSS 2004 - Osaka, Japan 継続期間: 2004 7 26 → 2004 7 28 |
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ASJC Scopus subject areas
- Control and Systems Engineering
これを引用
Stability and £ 2 gain analysis for discrete - Time LTI systems with controller failures . / Zhai, Guisheng; Chen, Xinkai; Lin, Hai.
：: IFAC Proceedings Volumes (IFAC-PapersOnline), 巻 37, 番号 11, 01.01.2004, p. 545-550.研究成果: Conference article
}
TY - JOUR
T1 - Stability and £ 2 gain analysis for discrete - Time LTI systems with controller failures
AU - Zhai, Guisheng
AU - Chen, Xinkai
AU - Lin, Hai
PY - 2004/1/1
Y1 - 2004/1/1
N2 - In this paper, we analyze stability and £ 2 gain properties for discrete-time linear time-invariant (LTI) systems controlled by a pre-designed dynamical output feedback controller which fails from time to time due to physical or purposeful reason. Our aim is to find conditions concerning controller failure time, under which the system's stability and £ 2 gain properties are preserved to a desired level. For stability, by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant and the average time interval between controller failures (ATBCF) is large enough, then global exponential stability of the system is guaranteed. For £ 2 gain, also by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant, then the system with an ATBCF achieves a reasonable weighted £ 2 gain level, and the weighted £2 gain approaches normal £ 2 gain when the ATBCF is sufficiently large.
AB - In this paper, we analyze stability and £ 2 gain properties for discrete-time linear time-invariant (LTI) systems controlled by a pre-designed dynamical output feedback controller which fails from time to time due to physical or purposeful reason. Our aim is to find conditions concerning controller failure time, under which the system's stability and £ 2 gain properties are preserved to a desired level. For stability, by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant and the average time interval between controller failures (ATBCF) is large enough, then global exponential stability of the system is guaranteed. For £ 2 gain, also by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant, then the system with an ATBCF achieves a reasonable weighted £ 2 gain level, and the weighted £2 gain approaches normal £ 2 gain when the ATBCF is sufficiently large.
KW - (weighted) £ gain
KW - Average time interval between controller failures (ATBCF)
KW - Dynamical output feedback
KW - Exponential stability
KW - Linear time-invariant (LTI) system
KW - Piecewise Lyapunov function
KW - Unavailability rate
UR - http://www.scopus.com/inward/record.url?scp=85064469612&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85064469612&partnerID=8YFLogxK
U2 - 10.1016/S1474-6670(17)31666-X
DO - 10.1016/S1474-6670(17)31666-X
M3 - Conference article
AN - SCOPUS:85064469612
VL - 37
SP - 545
EP - 550
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8963
IS - 11
ER -