Improved H∞ sampled-data control for semilinear parabolic PDE systems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1872-1892 |
| Journal / Publication | International Journal of Robust and Nonlinear Control |
| Volume | 29 |
| Issue number | 6 |
| Online published | 16 Jan 2019 |
| Publication status | Published - 1 Apr 2019 |
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Abstract
In this paper, an H∞ sampled-data control problem is addressed for semilinear parabolic partial differential equation (PDE) systems. By using a time-dependent Lyapunov functional and vector Poincare's inequality, a sampled-data controller under spatially averaged measurements is developed to stabilize exponentially the PDE system with an H∞ control performance. The stabilization condition is presented in terms of a set of linear matrix inequalities. Finally, simulation results on the control of the diffusion equation and the FitzHugh-Nagumo equation are given to illustrate the effectiveness of the proposed design method.
Research Area(s)
- distributed parameter systems, H∞ control, linear matrix inequality (LMI), sampled-data control
Citation Format(s)
Improved H∞ sampled-data control for semilinear parabolic PDE systems. / Wu, Huai-Ning; Wang, Zi-Peng; Li, Han-Xiong.
In: International Journal of Robust and Nonlinear Control, Vol. 29, No. 6, 01.04.2019, p. 1872-1892.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
