Robust fault tolerant control of continuous-time switched systems: an LMI approach. (English) Zbl 1478.93133
Summary: The present paper proposes a new robust fault tolerant control (RFTC) design for continuous-time switched systems. The main objective is to design in an integrated way the couple (controller, observer) that allows to stabilize switched systems even in the presence of actuator faults. A state/fault estimation observer is designed to simultaneously estimate system state and actuator faults. Based on this observer, a fault tolerant controller is developed to stabilize the system and accommodate the actuator faults automatically. The RFTC problem is formalized in the form of linear matrix inequalities (LMI) rather than bilinear matrix inequalities (BMI), to avoid the difficulty of solving BMIs. Finally, a numerical example composed of unstable subsystems is studied to show the applicability and efficiency of the obtained results.
MSC:
| 93B35 | Sensitivity (robustness) |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93B53 | Observers |
Keywords:
fault tolerant control; fault estimation; switched systems; mode-dependent average dwell time; observer-based control; linear matrix inequality (LMI)References:
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