Abstract
In this paper, we analyze stability and H∞ 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 reason. Our aim is to find conditions concerning controller failure time, under which the system's stability and H∞ 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 global exponential stability of the system is guaranteed. For H∞ 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 the system with an ATBCF achieves a reasonable weighted H∞ disturbance attenuation level, and the weighted H∞ disturbance attenuation approaches normal H∞ disturbance attenuation when the ATBCF is sufficiently large.
| Original language | English |
|---|---|
| Pages (from-to) | 3869-3874 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 4 |
| Publication status | Published - 2002 Dec 1 |
| Externally published | Yes |
| Event | 41st IEEE Conference on Decision and Control - Las Vegas, NV, United States Duration: 2002 Dec 10 → 2002 Dec 13 |
Keywords
- (Weighted) H disturbance attenuation
- Average time between controller failures
- Controller failure
- Dynamical output feedback
- Exponential stability
- Linear time-invariant (LTI) system
- Piecewise lyapunov function
- Unavailability rate
ASJC Scopus subject areas
- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization