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

In this study, a new systematic approach is proposed to design the fuzzy controller for a class of Takagi–Sugeno fuzzy-partial differential equation (TS fuzzy-PDE) systems which describe the non-linear distributed parameter system formulated by first-order semi-linear hyperbolic PDEs. In this study,...

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Bibliographic Details
Published in:	IET science, measurement & technology Vol. 8; no. 6; pp. 537 - 545
Main Authors:	Sha Sadeghi, Mokhtar, Vafamand, Navid, Babaei, Mohammad Sadegh
Format:	Journal Article
Language:	English
Published:	The Institution of Engineering and Technology 01.11.2014
Subjects:	asymptotic stability control system synthesis Design engineering Design parameters Differential equations distributed parameter systems first order semilinear hyperbolic PDE Fuzzy control fuzzy controller design hyperbolic equations linear matrix inequalities LMI Lyapunov functions Lyapunov methods nonlinear control systems nonlinear differential equations nonlinear distributed parameter system nonlinear hyperbolic partial differential equation systems Nonlinearity nonquadratic exponential stabilisation nonquadratic Lyapunov function Partial differential equations Stability stability conditions systematic approach Takagi–Sugeno fuzzy partial differential equation TS fuzzy‐PDE system hyperbolic equations fuzzy controller design first order semilinear hyperbolic PDE nonlinear distributed parameter system nonquadratic Lyapunov function nonlinear hyperbolic partial differential equation systems control system synthesis LMI asymptotic stability stability conditions nonlinear differential equations fuzzy control linear matrix inequalities nonlinear control systems nonquadratic exponential stabilisation distributed parameter systems partial differential equations TS fuzzy-PDE system systematic approach Lyapunov methods Takagiâ€“Sugeno fuzzy partial differential equation
ISSN:	1751-8822, 1751-8830
Online Access:	Get full text
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