ABSTRACT
In this chapter, a fundamental stabilization problem is investigated for a class of sampled-data systems under noisy sampling intervals. The stochastic sampled-data control system under consideration is converted into a discrete-time system whose system matrix is represented as an equivalent yet tractable form via the matrix exponential computation. By introducing a Vandermonde matrix, the mathematical expectation of the quadratic form of the system matrix is computed. By recurring to the Kronecker product operation, the sampled-data stabilization controller is designed such that the closed-loop system is stochastically stable in the presence of a noisy sampling interval. Subsequently, by using similar analysis techniques, the stabilization problem is also studied for a general class of stochastic sampled-data control systems with multiple inputs under quantization and/or saturation effects, and a set of parallel results is derived. Finally, some numerical simulation examples are provided to demonstrate the effectiveness of the proposed design approach.
