Configuration Selection for Reconfigurable Control of Piecewise Affine Systems

In this paper, the problem of conguration selection i.e. sensor/actuator placement for piecewise ane (PWA) systems subject to both sensor and actuator faults is considered. A method is proposed that provides a tool for the design phase to decide about the optimal placement of sensor/actuators where the recongurability of the system subject to sensor and actuator faults is also taken into account. Using a lattice of possible congurations (sensor/actuator placements), the recongurability of the system subject to faults for each conguration is evaluated and based on that one can draw conclusions about the recongurability of the system and the optimal conguration in the architecture design phase. A recongurable control must ensure stability of the recongured system and, if possible, a graceful degradation in the performance. Therefore, in the proposed recongurability analysis, we consider both stabilizability and performance of the system. The efficiency of the proposed method is demonstrated on several numerical examples