ABSTRACT
The previous chapter was concerned with the dissipative control issue for statesaturated discrete time-varying systems with missing measurements. A novel design of dissipative controller is developed to ensure the desired performance of closed-loop systems subject to state-saturated nonlinearity and missing measurements. It is worth noting that the control or filtering with more complex network-induced phenomena should be further discussed in theory. This chapter deals with the H∞ filtering problem for a class of discrete timevarying systems with state saturations, randomly occurring nonlinearities, as well as successive packet dropouts. Two mutually independent sequences of random variables that obey the Bernoulli distribution are employed to describe the random occurrence of the nonlinearities and packet dropouts. Similar to the method adopted in Chapter 5, i.e., by introducing a free matrix with its infinity norm less than or equal to 1, the error state is bounded by a convex hull. In addition, some sufficient conditions are obtained such that the H∞ disturbance attenuation level is guaranteed, over a given finite horizon, for the filtering error dynamics in the presence of saturated states, randomly occurring nonlinearities, and successive packet dropouts. Furthermore, the obtained results are extended to the case when state saturations are partial. Two numerical simulation examples are provided to demonstrate the effectiveness and applicability of the proposed filter design approach.
