In this article, we propose a new method for passive fault-tolerant control of discrete time piecewise affine systems. Actuator faults are considered. A reliable piecewise linear quadratic regulator state feedback is designed such that it can tolerate actuator faults. A sufficient condition for the existence of a passive fault-tolerant controller is derived and formulated as the feasibility of a set of linear matrix inequalities (LMIs). The upper bound on the performance cost can be minimised using a convex optimisation problem with LMI constraints which can be solved efficiently. The approach is illustrated on a numerical example and a two degree of freedom helicopter. © 2012 Taylor & Francis Group, LLC.
- Linear matrix inequalities
- Piecewise linear techniques
- State feedback
- Fault tolerance
Tabatabaeipour, M., Izadi-Zamanabadi, R., Bak, T., & Ravn, A. P. (2012). Passive fault-tolerant control of discrete time piecewise affine systems against actuator faults. International Journal of Systems Science, 43(11), 1985-1997. https://doi.org/10.1080/00207721.2012.670289