In this paper we consider the problem of fault estimation and accommodation for discrete time piecewise linear systems. A robust fault estimator is designed to estimate the fault such that the estimation error converges to zero and H∞ performance of the fault estimation is minimized. Then, the estimate of fault is used to compensate for the effect of the fault. Hence, using the estimate of fault, a fault tolerant controller using a piecewise linear static output feedback is designed such that it stabilizes the system and provides an upper bound on the H∞ performance of the faulty system. Sufficient conditions for the existence of robust fault estimator and fault tolerant controller are derived in terms of linear matrix inequalities. Upper bounds on the H∞ performance can be minimized by solving convex optimization problems with linear matrix inequality constraints. The efficiency of the method is demonstrated by means of a numerical example.
|Titel||Control Applications (CCA), 2012 IEEE International Conference on|
|Status||Udgivet - 2012|
|Navn||I E E E International Conference on Control Applications. Proceedings|
Tabatabaeipour, S. M., & Bak, T. (2012). H infinity Integrated Fault Estimation and Fault Tolerant Control of Discrete-time Piecewise Linear Systems. I Control Applications (CCA), 2012 IEEE International Conference on (s. 1680-1685). IEEE Press. I E E E International Conference on Control Applications. Proceedings https://doi.org/10.1109/CCA.2012.6402677