Quantized control for Markovian jump systems with general transition rates against multiple attacks via intermediate-observers

This paper is devoted to the problem of quantized control for Markovian jump systems with general transition rates. Meanwhile, the considered system suffers from sensor attack, actuator attack and multiple disturbances. With the help of mode-dependent intermediate observer, the system states and the total disturbances involving both sensor attack and actuator attack are estimated. A mode-dependent composite controller design is constructed to stabilize the overall controlled system. Based on the technique of vertex separators, sufficient conditions are developed in the form of linear matrix inequalities to guarantee the uniformly ultimate boundedness of the closed-loop system. Finally, an application example illustrates the feasibility of the method.