Abstract
We analyze stability and ℋinfin disturbance attenuation properties for 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 reasons. The aim is to find conditions concerning the controller failure time, under which the system's stability and ℋinfin disturbance attenuation 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 the global exponential stability of the system is guaranteed. For ℋinfin disturbance attenuation, also by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant, then a system with an ATBCF achieves a reasonable weighted ℋinfin disturbance attenuation level, and the weighted ℋinfin disturbance attenuation approaches normal ℋinfin disturbance attenuation when the ATBCF is sufficiently large.
| Original language | English |
|---|---|
| Pages (from-to) | 104-111 |
| Number of pages | 8 |
| Journal | Asian Journal of Control |
| Volume | 6 |
| Issue number | 1 |
| Publication status | Published - 2004 Mar |
| Externally published | Yes |
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Keywords
- (Weighted) ℋ
- Average time between controller failures
- Controller failure
- Disturbance attenuation
- Dynamical output feedback
- Exponential stability
- Linear time-invariant (LTI) system
- Piecewise Lyapunov function
- Unavailability rate
ASJC Scopus subject areas
- Chemical Engineering(all)
- Control and Systems Engineering
Cite this
Stability and ℋinfin disturbance attenuation analysis for LTI control systems with controller failures. / Zhai, Guisheng; Chen, Xinkai; Takai, Shigemasa; Yasuda, Kazunori.
In: Asian Journal of Control, Vol. 6, No. 1, 03.2004, p. 104-111.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stability and ℋinfin disturbance attenuation analysis for LTI control systems with controller failures
AU - Zhai, Guisheng
AU - Chen, Xinkai
AU - Takai, Shigemasa
AU - Yasuda, Kazunori
PY - 2004/3
Y1 - 2004/3
N2 - We analyze stability and ℋinfin disturbance attenuation properties for 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 reasons. The aim is to find conditions concerning the controller failure time, under which the system's stability and ℋinfin disturbance attenuation 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 the global exponential stability of the system is guaranteed. For ℋinfin disturbance attenuation, also by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant, then a system with an ATBCF achieves a reasonable weighted ℋinfin disturbance attenuation level, and the weighted ℋinfin disturbance attenuation approaches normal ℋinfin disturbance attenuation when the ATBCF is sufficiently large.
AB - We analyze stability and ℋinfin disturbance attenuation properties for 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 reasons. The aim is to find conditions concerning the controller failure time, under which the system's stability and ℋinfin disturbance attenuation 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 the global exponential stability of the system is guaranteed. For ℋinfin disturbance attenuation, also by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant, then a system with an ATBCF achieves a reasonable weighted ℋinfin disturbance attenuation level, and the weighted ℋinfin disturbance attenuation approaches normal ℋinfin disturbance attenuation when the ATBCF is sufficiently large.
KW - (Weighted) ℋ
KW - Average time between controller failures
KW - Controller failure
KW - Disturbance attenuation
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=3142672095&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=3142672095&partnerID=8YFLogxK
M3 - Article
VL - 6
SP - 104
EP - 111
JO - Asian Journal of Control
JF - Asian Journal of Control
SN - 1561-8625
IS - 1
ER -