ABSTRACT
This chapter aims to consider the gain-scheduled state-feedback control problem for the discrete-time stochastic delayed systems with randomly occurring nonlinearities (RONs). It summarizes the main contributions as follows: a new state-feedback control problem is investigated by a gain-scheduling approach for a class of discrete-time stochastic delayed systems with RONs; and the nonlinearity disturbances are assumed to occur in a random way, and a stochastic variable sequence satisfying time-varying Bernoulli distributions is introduced to describe the time-varying feature of the RONs. The main contributions also include: the time-varying controller gains are affected by not only the constant parameters but also the time-varying probability; and an easily implementable algorithm is developed to design the controller with both constant and time-varying parameters. The chapter addresses the controller analysis and synthesis problems. It illustrates the usefulness and flexibility of the filter design method developed.
