Disturbance attenuation and rejection for systems with missing measurements via DOBC approach

For a class of nonlinear systems with missing measurements and multiple disturbances, Disturbance attenuation and rejection problems are investigated in this paper. The state observer and disturbance observer are constructed based on measurement output error and/or control input. The measurement output may occur to loss in the real systems, which are characterized by stochastic binary sequence. Two types of disturbances are also considered, one is emerged from H₂ form, which are attenuated by H_∞ control. The other is rejected by disturbance-observer-control. The pth(1, 2) moment exponential stability are analyzed in terms of linear matrix inequalities (LMIs) for the systems with known nonlinear dynamics. Simulation examples are provided to demonstrate the effectiveness of the results.