NDLI: Composite anti-disturbance control for semi-Markovian jump systems with time-varying delay and generally uncertain transition rates via disturbance observer

Content Provider	IET Digital Library
Author	Xu, Tianbo Gao, Xianwen Pang, Guochen Qi, Wenhai Kao, Yonggui
Abstract	The problem of composite anti-disturbance control for semi-Markovian jump systems (S-MJSs) with time-varying delay via disturbance observer is analysed in this study. Unlike the existing methods, generally uncertain transition rates, time-varying delay, multiple disturbances, the H ∞ performance and disturbance-observer-based control (DOBC) are all considered in S-MJSs. The method which combines DOBC and H ∞ control is used to guarantee the system performance level of time-varying delay S-MJSs. Firstly, a sufficient condition of stochastic stability in the H ∞ performance level for the composite control system is given by using piecewise Lyapunov–Krasovskii functional. Secondly, the optimal value of disturbance suppression level for the system is solved by an optimisation algorithm. Thirdly, variation interval of time-delay has been divided into equal small intervals for reducing the conservatism of the method which addresses the mode-dependent time-delay problem. Furthermore, the composite controller and disturbance observer which satisfy the proposed stability condition are designed to address the composite anti-disturbance control problem of the closed-loop system. Finally, two practical systems are provided to testify the accuracy of research methods.
Starting Page	1877
Ending Page	1887
Page Count	11
ISSN	17518644
Volume Number	14
e-ISSN	17518652
Issue Number	Issue 14, Sep (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/14/14
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2019.0833
Journal	IET Control Theory & Applications
Publisher Date	2020-05-07
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Antidisturbance Control Problem Closed Loop System Composite Antidisturbance Control Composite Control System Composite Controller Control System Analysis Control System Synthesis Delay Distributed Parameter Control System Disturbance Observer Disturbance Suppression Level Disturbance-observer-based System Generally Uncertain Transition Rates Linear Matrix Inequalities Lyapunov Method Markov Processes Mode-dependent Time-delay Problem Modelling And Identification Multiple Disturbances Nonlinear Control System Observers Optimal Control S-MJS SemiMarkovian Jump System Simulation Stability Stability in Control Theory Stochastic System Synthesis Method System Performance Level Time Varying Control System Time Varying System Time-varying Delay Uncertain System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Passivity and passification for switching Markovian jump systems with time-varying delay and generally uncertain transition rates

Disturbance-observer-based control & ℋ∞ control for non-linear Markovian jump singular systems with multiple disturbances

Delay-Dependent H∞ Control for Singular Markovian Jump Systems With Generally Uncertain Transition Rates

Stabilization of Singular Markovian Jump Systems With Generally Uncertain Transition Rates

Disturbance-observer-based-control and L 2−L ∞ resilient control for Markovian jump non-linear systems with multiple disturbances and its application to single robot arm system

Composite adaptive disturbance observer-based control for switched stochastic systems with multiple disturbances subject to mode-dependent average dwell time switching

Robust H∞ filtering for uncertain stochastic Markovian jump systems with mode-dependent time delays and nonlinear disturbances

Stability and stabilisation of neutral stochastic delay Markovian jump systems

Composite disturbance-observer-based output feedback control and passive control for Markovian jump systems with multiple disturbances

Composite anti-disturbance control for semi-Markovian jump systems with time-varying delay and generally uncertain transition rates via disturbance observer

Similar Documents

Passivity and passification for switching Markovian jump systems with time-varying delay and generally uncertain transition rates

Disturbance-observer-based control & ℋ∞ control for non-linear Markovian jump singular systems with multiple disturbances

Delay-Dependent H∞ Control for Singular Markovian Jump Systems With Generally Uncertain Transition Rates

Stabilization of Singular Markovian Jump Systems With Generally Uncertain Transition Rates

Disturbance-observer-based-control and L 2−L ∞ resilient control for Markovian jump non-linear systems with multiple disturbances and its application to single robot arm system

Composite adaptive disturbance observer-based control for switched stochastic systems with multiple disturbances subject to mode-dependent average dwell time switching

Robust H∞ filtering for uncertain stochastic Markovian jump systems with mode-dependent time delays and nonlinear disturbances

Stability and stabilisation of neutral stochastic delay Markovian jump systems

Composite disturbance-observer-based output feedback control and passive control for Markovian jump systems with multiple disturbances

Composite anti-disturbance control for semi-Markovian jump systems with time-varying delay and generally uncertain transition rates via disturbance observer