NDLI: Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance

Content Provider	IET Digital Library
Author	Kang, Wen Guo, Bao Zhu
Abstract	In this study, the authors consider boundary stabilisation for a cascade of unstable heat partial differential equation systems with interconnection at one end and general external disturbance at the control end. An unknown input type observer is first designed by sliding mode control method to estimate the state, and its Filippov type solution is determined. To design an output feedback, they need to know a state feedback which could be realised by the backstepping transformation. The transformation transforms the system into an equivalent target system where the governing equations are stable. To deal with the disturbance, they apply the active disturbance rejection control to estimate the disturbance by output. Based on observer and disturbance estimator, an output feedback control is then designed. The existence of solution to the closed-loop system is proved and the stability is concluded. Finally, some numerical simulations are presented for illustration.
Starting Page	1027
Ending Page	1039
Page Count	13
ISSN	17518644
Volume Number	10
e-ISSN	17518652
Issue Number	Issue 9, Jun (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/10/9
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2015.0953
Journal	IET Control Theory & Applications
Publisher Date	2016-06-05
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Active Disturbance Rejection Control Backstepping Transformation Boundary Disturbance Boundary Stabilisation Closed Loop System Control System Analysis Control System Synthesis Differential Equation (numerical Analysis) Disturbance Estimator Filippov Type Solution Interconnection Modelling And Identification Multivariable Control System Numerical Analysis Numerical Simulation Observers Output Feedback Control Partial Differential Equation Simulation Sliding Mode Control Method Stability Stability in Control Theory State Feedback Synthesis Method Unknown Input Type Observer Unstable Cascaded Heat Partial Differential Equation System Variable Structure 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

Input-to-state stability of an ODE-heat cascade system with disturbances

Universal stabilisation design for general non-linear systems under wave partial differential equation actuator dynamics with time-varying moving boundary

Boundary output feedback control of a flexible spacecraft system with input constraint

Output-based disturbance rejection control for non-linear uncertain systems with unknown frequency disturbances using an observer backstepping approach

Non-quadratic exponential stabilisation of non-linear hyperbolic partial differential equation systems

Adaptive output feedback boundary control for a class of axially moving system

Observer-based dynamic local piecewise control of a linear parabolic PDE using non-collocated local piecewise observation

Boundary dynamic feedback control for a class of semi-linear distributed parameter systems

DC-boundary finite-time stabilisation for distributed parameter systems

Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance

Similar Documents

Input-to-state stability of an ODE-heat cascade system with disturbances

Universal stabilisation design for general non-linear systems under wave partial differential equation actuator dynamics with time-varying moving boundary

Boundary output feedback control of a flexible spacecraft system with input constraint

Output-based disturbance rejection control for non-linear uncertain systems with unknown frequency disturbances using an observer backstepping approach

Non-quadratic exponential stabilisation of non-linear hyperbolic partial differential equation systems

Adaptive output feedback boundary control for a class of axially moving system

Observer-based dynamic local piecewise control of a linear parabolic PDE using non-collocated local piecewise observation

Boundary dynamic feedback control for a class of semi-linear distributed parameter systems

DC-boundary finite-time stabilisation for distributed parameter systems

Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance