Fault-tolerant H∞ control for descriptor linear systems via dynamical compensators

Fault-tolerant H∞ control against actuator failures and/or sensor failures for a class of descriptor linear systems via dynamical compensators is investigated. Based on H∞ theory in descriptor linear systems, sufficient conditions for the existence of dynamical compensators with parameters are derived. The dynamical compensator guarantees that the resulting closed-loop descriptor system is admissible and maintains a certain H∞ norm performance in the normal condition as well as in the event of actuator failures or/and sensor failures. Moreover, the closed-loop system performance can be optimized by choosing free parameters in designed dynamical compensators. A numerical example shows the effectiveness of the proposed method.