NDLI: Robust non-linear control design for systems governed by Burgers' equation subjected to parameter variation

Content Provider	IET Digital Library
Author	Abbasi, Farshid Velni, Javad Mohammadpour
Abstract	In this study, a robust sliding mode controller is proposed for dynamic systems governed by Burgers' equation with Neumann boundary conditions in the presence of parameter variations. The main objective is to design a reduced-order model based controller at a nominal value of the system parameter that stabilises the full-order model while being robust with respect to model uncertainties in the obtained reduced-order model. The model uncertainties resulted from the variation of the parameter ν are discussed under two categories; first, the error arising from the change in the states of the full-order model, and second, the error associated with the estimated proper orthogonal decomposition basis functions at the nominal value of ν 0 . In this work, the boundedness of the error functions is studied and an estimation of these bounds is obtained in terms of the reduced-order model and matrices of the full-order system that are known a priori. Next, the bounds on the error functions are used to design a reduced-order sliding mode controller that guarantees the stability of the full-order model obtained via a finite element approximation of the Burgers' equation for a trajectory tracking problem.
Starting Page	582
Ending Page	592
Page Count	11
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 5, Mar (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.0994
Journal	IET Control Theory & Applications
Publisher Date	2017-12-12
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Approximation Theory Burgers' Equation Control System Analysis Control System Synthesis Differential Equation (numerical Analysis) Dynamic System Estimated Proper Orthogonal Decomposition Basis Function Finite Element Analysis Finite Element Approximation Full-order Model Full-order System Interpolation And Function Approximation Multivariable Control System Neumann Boundary Condition Nominal Value Nonlinear Control System Numerical Analysis Parameter Variations Partial Differential Equation Reduced Order System Reduced-order Model Based Controller Design Robust Control Robust Nonlinear Control Design Robust Sliding Mode Controller Stability in Control Theory Synthesis Method System Parameter Trajectory Tracking Problem Uncertain 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

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