Stabilization of Networked Control Systems Subject to Noisy Sampling Intervals and Stochastic Time-Varying Delays

• DOI: 10.1109/tcns.2022.3141696
• Publication Date: 2022-01-10T20:57:26Z
• Authors: Zhipei Hu; Haiyu Song; Hongru Ren; Yongkang Su; Feiqi Deng
• Keywords: Kronecker product; Stochastic control

In practical engineering, the sampling intervals of networked control systems are often subject to undesirable physical constraints, which results in noisy intervals. view this, we focus on linear plants without unknown parameters and investigate stabilization problem with stochastic time-varying delays. First, a closed-loop discrete-time system, whose system matrices characterized by high nonlinearity randomness, is obtained considering delays unified framework. Second, an equivalent yet tractable stochastic-augmented model established aid matrix exponential computation. With confluent Vandermonde associated minimal polynomial Kronecker product operation, mathematical expectation three matrices, including its transpose, calculated. Based controller designed such that stability original guaranteed. Finally, illustrative example four different cases provided verify effectiveness method.