NDLI: Observer-based output feedback compensator design for linear parabolic PDEs with local piecewise control and pointwise observation in space

Content Provider	IET Digital Library
Author	Liu, Ya Qiang Wang, Jun Wei Sun, Chang Yin
Abstract	This study presents an observer-based output feedback compensator design for a linear parabolic partial differential equation (PDE), where a finite number of actuators and sensors are active over partial areas and at specified points in the spatial domain, respectively. In the proposed design method, a Luenberger-type PDE observer is first constructed by using the non-collocated pointwise observation to exponentially track the PDE state. Based on the estimated state, a collocated local piecewise state feedback controller is then proposed. By employing a Lyapunov direct method, integration by parts, Wirtinger's inequality and first mean value theorem for definite integrals, sufficient conditions on the exponential stability of the resulting closed-loop coupled PDEs are presented in terms of standard linear matrix inequalities. Furthermore, both open-loop and closed-loop well-posedness analysis results are also established by the C 0 -semigroup method. Numerical simulation results are presented to show the effectiveness of the proposed design method.
Starting Page	1812
Ending Page	1821
Page Count	10
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 13, Sep (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/13
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.1358
Journal	IET Control Theory & Applications
Publisher Date	2018-04-16
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Asymptotic Stability Closed Loop System Closed-loop Well-posedness Analysis Collocated Local Piecewise State Feedback Controller Control System Analysis Control System Synthesis Design Method Estimated State Exponential Stability Linear Matrix Inequalities Linear Parabolic Partial Differential Equation Linear Parabolic PDE Local Piecewise Control Luenberger-type PDE Observer Lyapunov Direct Method Lyapunov Method Mathematical Analysis Noncollocated Pointwise Observation Observer-based Output Feedback Compensator Design Observers Open-loop Well-posedness Analysis Parabolic Equation Partial Differential Equation PDE State Semigroup Method Stability in Control Theory Standard Linear Matrix Inequalities State Feedback Sufficient Condition Synthesis Method
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

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

Spatial domain decomposition approach to dynamic compensator design for linear space-varying parabolic MIMO PDEs

Fuzzy observer and fuzzy controller design for a class of uncertain non-linear systems

Control of networked systems with packet loss and channel uncertainty

Feedback stabilisation control design for fractional order non-linear systems in the lower triangular form

Non-linear estimation and observer-based output feedback control

Observer-based output feedback control for a boundary controlled fractional reaction diffusion system with spatially-varying diffusivity

Global stabilisation of a class of feedforward systems with distributed delays

Weighted L 2 gain performance controller parameterisation of linear switching plants with average dwell time

Observer-based output feedback compensator design for linear parabolic PDEs with local piecewise control and pointwise observation in space

Similar Documents

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

Spatial domain decomposition approach to dynamic compensator design for linear space-varying parabolic MIMO PDEs

Fuzzy observer and fuzzy controller design for a class of uncertain non-linear systems

Control of networked systems with packet loss and channel uncertainty

Feedback stabilisation control design for fractional order non-linear systems in the lower triangular form

Non-linear estimation and observer-based output feedback control

Observer-based output feedback control for a boundary controlled fractional reaction diffusion system with spatially-varying diffusivity

Global stabilisation of a class of feedforward systems with distributed delays

Weighted L 2 gain performance controller parameterisation of linear switching plants with average dwell time

Observer-based output feedback compensator design for linear parabolic PDEs with local piecewise control and pointwise observation in space