Work

Quantized Output Feedback Tracking Control for Discrete‐Time Markov Switching Repeated Scalar Nonlinear Systems via Dual Periodic Hidden Markov Models

Year: 2026

Type: article

Abstract: ABSTRACT This paper investigates the quantized output feedback tracking control problem for discrete‐time periodic Markov switching repeated scalar nonlinear systems. To reduce the communication burden, a mode‐dependent logarithmic quantizer is employed to quantize the transmitted output signal, and a mode‐dependent periodic output feedback tracking controller is constructed. Since, the quantizer, the controller, and the plant operate asynchronously, a dual periodic hidden Markov model framework is proposed to describe the asynchronous phenomena, where both the transition probability matrices and the conditional probability matrices are allowed to be partially unknown. By constructing a mode‐dependent periodic Lyapunov function, sufficient conditions are derived to guarantee the stochastic stability and performance of the tracking error system. Finally, the feasibility of the proposed method is verified through a cognitive radio network model.

Source: International Journal of Robust and Nonlinear Control

DOI: 10.1002/rnc.70817

Authors: Xinrui Li, Mingang Hua, Jiahui Liu, Hua Chen, Jianyong Zhang

Institutions: Hohai University, Changzhou Institute of Technology

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Natural Science Foundation of Jiangsu Province

Awards: G3137777375, G4412733846, G5878729340