RT info:eu-repo/semantics/article
T1 Distributed Saturated Control for a Class of Semilinear PDE Systems: A SOS Approach
A1 Pitarch Pérez, José Luis
A1 Rakhshan, Mohsen
A1 Mardani, Mohammad Mehdi
A1 Shasadeghi, Mokhtar
K1 Hyperbolic PDE
K1 Fuzzy Polynomial
K1 SOS
K1 Input Saturation
K1 Distributed-parameter systems
AB This paper presents a systematic approach to deal with the saturated control of a class of distributed parameter systems which can be modeled by first-order hyperbolic partial differential equations (PDE). The approach extends (also improves over) the existing fuzzy Takagi-Sugeno (TS) state feedback designs for such systems by applying the concepts of the polynomial sum-of-squares (SOS) techniques. Firstly, a fuzzy-polynomial model via Taylor series is used to model the semilinear hyperbolic PDE system. Secondly, the closed-loop exponential stability of the fuzzy-PDE system is studied through the Lyapunov theory. This allows to derive a design methodology in which a more complex fuzzy state-feedback control is designed in terms of a set of SOS constraints, able to be numerically computed via semidefinite programming. Finally, the proposed approach is tested in simulation with the standard example of a nonisothermal plug-flow reactor (PFR).
PB IEEE
SN 1063-6706
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/26258
UL http://uvadoc.uva.es/handle/10324/26258
LA eng
NO IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017 (In press, DOI:10.1109/TFUZZ.2017.2688379)
NO Producción Científica
DS UVaDOC
RD 23-nov-2024