Observer-based finite-time dissipativity for parabolic systems with time-varying delays

作者:

Highlights:

• Some novel conditions are derived to the finite-time extend dissipativity analysis of semilinear parabolic systems with delays. A new set of observer based FTB and FTED of second order PDEs by using (Q,S,R) approach is proposed. Further the main contribution of this paper is outlined as:

• (Q,S,R) extended dissipative performance index is considered for parabolic PDE with delay.

• A new set of LMI conditions are proposed to ensure FTB and FTD for parabolic PDE.

• A novel observer based output feedback controller proposed for considered parabolic system.Finally a practical example is provided to validate the advantages and effectiveness of the proposed results.

摘要

Some novel conditions are derived to the finite-time extend dissipativity analysis of semilinear parabolic systems with delays. A new set of observer based FTB and FTED of second order PDEs by using (Q,S,R) approach is proposed. Further the main contribution of this paper is outlined as:•(Q,S,R) extended dissipative performance index is considered for parabolic PDE with delay.•A new set of LMI conditions are proposed to ensure FTB and FTD for parabolic PDE.•A novel observer based output feedback controller proposed for considered parabolic system.Finally a practical example is provided to validate the advantages and effectiveness of the proposed results.

论文关键词:Finite-time bounded,Dissipativity,Time-varying delay,State estimation,Parabolic system

论文评审过程:Received 15 April 2021, Revised 31 July 2021, Accepted 11 August 2021, Available online 31 August 2021, Version of Record 31 August 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126605