NDLI: Fractional Order Linear Quadratic Regulator

Content Provider	IEEE Xplore Digital Library
Author	Yan Li YangQuan Chen
Copyright Year	2008
Description	Author affiliation: Electr. & Comput. Eng. Dept., Utah State Univ., Logan, UT (YangQuan Chen) \|\| Sch. of Math. & Syst. Sci., Shandong Univ., Jinan (Yan Li)
Abstract	In this paper, we formulate the fractional linear quadratic regulator (LQR) problem. The analytical solution of fractional optimal control near the origin and infinity are derived. It is shown that the optimal control to the linear fractional system can be computed through the corresponding fractional Euler-Lagrange equations. Moreover, the analytical analysis of right-sided fractional equation is discussed, which relates to the construction and solution of fractional LQR problems. The matrix Mittag-Leffler function is used here to serve as the fundamental solution of high-dimension linear fractional equations. More detailed discussions about fractional systems and right-sided fractional operators are provided and summarized. Finally, two illustrated simulation results are provided as a proof of concept.
Starting Page	363
Ending Page	368
File Size	545074
Page Count	6
File Format	PDF
ISBN	9781424423675
DOI	10.1109/MESA.2008.4735696
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-10-12
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Regulators Matrix Mittag-Leffler Func-tion Right-Sided Fractional Equation Process control H infinity control Control systems State-space methods Chemical processes Equations Fractional calculus Fractional Calculus Optimal control Linear Quadratic Regulator Controllability
Content Type	Text
Resource Type	Article

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

Fractional order linear quadratic regulator (2008)

Fractional Modeling Approach with Mittag-Leffler Functions for Linear Fractional-order System

Solution of Fractional Differential Equation Systems and Computation of Matrix Mittag–Leffler Functions

Numerical Solution of Multiterm Fractional Differential Equations Using the Matrix Mittag–Leffler Functions

Posicast control of a class of fractional-order processes

Controllability of nonlinear fractional Langevin delay systems

Matrix Mittag‑Leffler function in fractional systems and its computation

The controllability of fractional differential system with state and control delay

Fractional Differential Equations and Matrix Bicomplex Two-parameter Mittag-Leffler Functions

Fractional Order Linear Quadratic Regulator

Similar Documents

Fractional order linear quadratic regulator (2008)

Fractional Modeling Approach with Mittag-Leffler Functions for Linear Fractional-order System

Solution of Fractional Differential Equation Systems and Computation of Matrix Mittag–Leffler Functions

Numerical Solution of Multiterm Fractional Differential Equations Using the Matrix Mittag–Leffler Functions

Posicast control of a class of fractional-order processes

Controllability of nonlinear fractional Langevin delay systems

Matrix Mittag‑Leffler function in fractional systems and its computation

The controllability of fractional differential system with state and control delay

Fractional Differential Equations and Matrix Bicomplex Two-parameter Mittag-Leffler Functions

Fractional Order Linear Quadratic Regulator