Work

H∞ control for Markov jump systems with multi-timescale characteristic based on slow state feedback

Year: 2024

Type: conference-paper

Abstract: This paper investigates the 𝐻 ∞ control problem of Markov jump systems with multi-time scales.Leveraging singular perturbation theory, a design method for a control protocol based on slow state feedback is presented.Moreover, by employing the Lyapunov stability theory and selecting a Lyapunov function associated with small singular perturbation parameter, several adequate requisites for the stability of the system are derived.The estimation method for the upper bound of singular perturbation parameters is also provided.Finally, a numerical simulation is conducted using Matlab software.The simulation results for the system with and without performance indicators are presented respectively, thus verifying the validity of the acquired conditions.

Source: International Conference on Computer, Internet of Things and Smart City (CIoTSC)

DOI: 10.1145/3731867.3731897

Authors: Bangteng Dai, Kun Liang, Mengshen Chen

Institutions: Shanghai University of Electric Power, University of Shanghai for Science and Technology

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Shanghai Municipal Education Commission

Awards: G1474862180, G5685415569