Boundary Control for Exponential Stabilization of Nonlinear Distributed Parameter Systems Modeled by PIDEs | Zendy

Chengdong Yang | Zendy; Tingwen Huang | Zendy; Zhenxing Li | Zendy; Ancai Zhang | Zendy; Jianlong Qiu | Zendy; Fuad E. Alsaadi | Zendy

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Boundary Control for Exponential Stabilization of Nonlinear Distributed Parameter Systems Modeled by PIDEs

Author(s) -

Chengdong Yang,

Tingwen Huang,

Zhenxing Li,

Ancai Zhang,

Jianlong Qiu,

Fuad E. Alsaadi

Publication year - 2018

Publication title -

ieee access

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.587

H-Index - 127

ISSN - 2169-3536

DOI - 10.1109/access.2018.2867343

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

This paper studies boundary control for exponential stabilization for a distributed parameter system, modeled by semi-linear parabolic partial integro-differential equations (PIDEs) in a 1-D spatial domain. A boundary controller based on boundary measurement is designed for exponential stabilization of the PIDE system, and it is implemented by controlling and measuring only one endpoint of the 1-D spatial domain. With the Lyapunov direct method and Wirtinger's inequality, a sufficient condition for exponential stabilization of the PIDE system with a given decay rate is investigated. Dealing with a special case of PIDE systems, one lemma called Yang inequality is proposed, and a new less conservative sufficient condition is investigated. An example with two cases is given to show the effectiveness and less conservativeness of the proposed methods by using Yang inequality.

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