NDLI: Robust observer-based finite-time H∞control for one-sided Lipschitz singular systems with uncertainties

Content Provider	IET Digital Library
Author	Ren, Junchao Li, Fangfang Fu, Jun
Abstract	This study deals with the problem of observer-based finite-time H ∞ control for a class of one-sided Lipschitz (OSL) singular systems with uncertainties. The parameter uncertainties are assumed to be time-varying norm-bounded appearing not only in both the state and output matrices but also in the non-linear function. With the help of some special derivations and transformation, the sufficient conditions ensuring robust finite-time boundedness of the closed-loop system and satisfying the H ∞ performance index are given for OSL singular systems in terms of linear matrix inequalities (LMIs). Based on these, the observer and controller dynamics can be simultaneously involved in the design at one step. Two convex optimisation problems subject to LMIs are formulated to optimise the desired performance indices of interest to us. Finally, two examples are given to demonstrate the effectiveness of the proposed methods.
Starting Page	2319
Ending Page	2328
Page Count	10
ISSN	17518644
Volume Number	14
e-ISSN	17518652
Issue Number	Issue 16, Nov (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/14/16
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2019.0927
Journal	IET Control Theory & Applications
Publisher Date	2020-08-06
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Closed Loop System Closed-loop System Controller Dynamics Convex Optimisation Problem Convex Programming Linear Matrix Inequalities Nonlinear Function Observers One-sided Lipschitz Singular System Optimal Control Optimisation Technique OSL Singular System Output Matrix Parameter Uncertainties Robust Control Robust Finite-time Boundedness Robust Observer-based Finite-time H∞ Control Stability in Control Theory Time-varying Norm-bounded Uncertainties 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

Robust H∞ control for one-sided Lipschitz non-linear systems with time-varying delays and uncertainties

New approach to robust observer-based control of one-sided Lipschitz non-linear systems

Robust simultaneous finite-time control and fault detection for uncertain linear switched systems with time-varying delay

Robust H ∞ static output control of discrete Markov jump linear systems with norm bounded uncertainties

Robust finite-time H ∞ control for uncertain discrete-time singular systems with Markovian jumps

Non-fragile state-feedback control of uncertain piecewise-affine slab systems with input constraints: a convex optimisation approach

Design of multiple-mode observer and multiple-mode controller for switched positive linear systems

Robust dissipativity and dissipation of a class of fractional-order uncertain linear systems

H∞ observer–controller synthesis approach in low frequency for T–S fuzzy systems

Robust observer-based finite-time H∞control for one-sided Lipschitz singular systems with uncertainties

Similar Documents

Robust H∞ control for one-sided Lipschitz non-linear systems with time-varying delays and uncertainties

New approach to robust observer-based control of one-sided Lipschitz non-linear systems

Robust simultaneous finite-time control and fault detection for uncertain linear switched systems with time-varying delay

Robust H ∞ static output control of discrete Markov jump linear systems with norm bounded uncertainties

Robust finite-time H ∞ control for uncertain discrete-time singular systems with Markovian jumps

Non-fragile state-feedback control of uncertain piecewise-affine slab systems with input constraints: a convex optimisation approach

Design of multiple-mode observer and multiple-mode controller for switched positive linear systems

Robust dissipativity and dissipation of a class of fractional-order uncertain linear systems

H∞ observer–controller synthesis approach in low frequency for T–S fuzzy systems

Robust observer-based finite-time H∞control for one-sided Lipschitz singular systems with uncertainties