Finite time secure state estimation for linear cyber-physical systems with actuator and sensor attacks

This manuscript studies the problem of secure state estimation (SSE) for a class of linear discrete cyber-physical systems (CPSs) considered with output disturbances, actuator, and sensor attacks. The disturbances and attacks considered are unbounded. A finite time SSE (FTSSE) method is designed to realize SSE for CPSs in a predetermined finite time. First, a finite time observer is designed to implement the FTSSE for CPSs with actuator attacks and output disturbances. After that, the FTSSE method for CPSs with simultaneous sensor attacks is proposed by extending the designed finite time observer. The necessary conditions for the existence of the proposed FTSSE method are given, and its effectiveness is analyzed theoretically. In addition, the simultaneous estimation of disturbance and attack can be achieved by the designed estimator when the system satisfies some given conditions. Finally, the effectiveness of the designed method is verified by a simulation experiment.