NDLI: Output feedback control of inhomogeneous parabolic PDEs with point actuation and point measurement using SOS and semi-separable kernels

Content Provider	IEEE Xplore Digital Library
Author	Gahlawat, Aditya Peet, Matthew M.
Copyright Year	2015
Description	Author affiliation: Department of Mechanical, Materials and Aerospace Engineering at the Illinois Institute of Technology, Chicago, 60616 USA (Gahlawat, Aditya) \|\| School of Engineering of Matter, Transport and Energy at Arizona State University, Tempe, 85287-6106 USA (Peet, Matthew M.)
Abstract	In this paper we use Sum-of-Squares (SOS) and Semi-Definite Programming (SDP) to design output feedback controllers for a class of one-dimensional parabolic partial differential equations with point measurements and point actuation. Our approach is based on the use of SOS to search for positive quadratic Lyapunov functions, controllers and observers. These Lyapunov functions, controllers and observers are parameterized by linear operators which are defined by SOS polynomials. The main result of the paper is the development of an improved class of observer-based controllers and evidence which indicates that when the system is controllable and observable, these methods will find a observer-based controller for sufficiently high polynomial degree (similar to well-known results from backstepping).
Starting Page	1217
Ending Page	1223
File Size	493125
Page Count	7
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7402377
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lyapunov methods Output feedback Observers Kernel Boundary conditions Symmetric matrices
Content Type	Text
Resource Type	Article

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