Stabilization for a coupled PDE-ODE control system

  title={Stabilization for a coupled PDE-ODE control system},
  author={Shuxia Tang and Chengkang Xie},
  journal={J. Franklin Institute},
A control system of an ODE and a diffusion PDE is discussed in this paper. The novelty lies in that the system is coupled. The method of PDE backstepping as well as some special skills is resorted in stabilizing the coupled PDE–ODE control system, which is transformed into an exponentially stable PDE–ODE cascade with an invertible integral transformation. And a state feedback boundary controller is designed. Moreover, an exponentially convergent observer for anti-collocated setup is proposed… CONTINUE READING
Highly Cited
This paper has 74 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.


Publications citing this paper.
Showing 1-10 of 41 extracted citations

Local exponential stabilization of a coupled burgers' PDE-ODE system

2017 IEEE 56th Annual Conference on Decision and Control (CDC) • 2017
View 4 Excerpts
Highly Influenced

Adaptive stabilization for a class of coupled PDE-ODE systems with multiple unknown parameters

Proceedings of the 33rd Chinese Control Conference • 2014
View 4 Excerpts
Highly Influenced

Arctic sea ice temperature profile estimation via backstepping observer design

2017 IEEE Conference on Control Technology and Applications (CCTA) • 2017

74 Citations

Citations per Year
Semantic Scholar estimates that this publication has 74 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 15 references

Delay compensation for nonlinear teleoperators using predictor observers

IECON 2010 - 36th Annual Conference on IEEE Industrial Electronics Society • 2010
View 1 Excerpt

Similar Papers

Loading similar papers…