Nonlinear Control Systems Design and Analysis

Nonlinear Control Research Team enjoys finding beauty in mathematics and always seeks "what's next? " in the maze of research.

(Photo:Taiki Multi-Purpose Aerospace Park, Hokkaido, Spring, 2018)

- Smart Control of Complicated Nonlinear Systems

Nonlinear Control Research Team has published a large number of papers in several IEEE Transactions.

The utility of our approach is demonstrated through well-known benchmark design examples and practical nonlinear systems.

The following lecture slides show the outline of our approach based on a sum-of-squares framework for nonlinear systems control and analysis. The lecture was presented in Tutorials of IEEE World Congress on Computational Intelligence (IEEE WCCI 2016), Vancouver, Canada, July 2016.

For more details, see also the recent publication list at the bottom of this page.

- WCCI 2016 Invited Lecture, Vancouver, Canada , July, 2016!!!

The following invited talk was given in Tutorials of IEEE World Congress on Computational Intelligence (IEEE WCCI 2016), Vancouver, Canada, July 2016.

http://www.wcci2016.org/programs.php?id=home

“A Sum-of-Squares Framework for Fuzzy Systems Modeling and Control: Beyond Linear Matrix Inequalities“.

Tutorial slides are available at http://www.wcci2016.org/document/tutorials/fuzz4.pdf

- WCCI 2014 Invited Lecture, Beijing, July 8, 2014,

“Recent Advances in Fuzzy Modeling and Control: When Nonlinearities Met Fuzzy Logic“. Abstract,

- WCCI 2012 Invited Lecture, Brisbane, July 2012.

You can watch the lecture video (if you are a CIS member of IEEE) Here

.... Prof. Kazuo Tanaka delivered his FUZZ-IEEE Invited Lecture titled “A Unified Fuzzy Model-Based Framework for Modeling and Control of Complex Systems: From Flying Vehicle Control to Brain-Machine Cooperative Control“.

Recent Publications on Nonlinear Systems Control and Analysis

- Shun-Hung Tsai, Wen-Hsin Lee, Kazuo Tanaka, Ying-Jen Chen and Hak-Keung Lam, Polynomial Fuzzy Observer-Based Feedback Control for Nonlinear Hyperbolic PDEs Systems, IEEE Transactions on Cybernetics, Accepted. Impact Factor 11.4

- J. M. Saenz, Y. -J. Chen, K. Tanaka, J. L. Aragon, M. A. Quiroz-Juarez, A Takagi-Sugeno Fuzzy-Model-Based Tracking Framework to Regulate Heart, Rhythm Dynamics, IEEE Access, Vol.11, pp.47223-47235, May 2023. DOI 10.1109/ACCESS.2023.3274809 Impact Factor 3.9

-J. M. Saenz, M. Tanaka, K. Tanaka, Relaxed Stabilization and Disturbance Attenuation Control Synthesis Conditions for Polynomial Fuzzy Systems, IEEE Transactions on Cybernetics, Vol.51, No.4, pp.2093-2106, April 2021, DOI: 10.1109/TCYB.2019.2957154 Impact Factor 11.4

-Y.-J. Chen, K. Tanaka, M. Tanaka, S.-H. Tsai and H. O. Wang, A Novel Path-Following-Method-Based Polynomial Fuzzy Control Design, IEEE Transactions on Cybernetics, Vol.51, No.6, pp.2993-3003, June 2021. DOI: 10.1109/TCYB.2019.2956495 Impact Factor 11.4

- R. Furqon, Y.-J. Chen, M. Tanaka, K. Tanaka, and H. O. Wang, An SOS-based Control Lyapunov Function Design for Polynomial Fuzzy Control of Nonlinear Systems, IEEE Transactions on Fuzzy Systems, Vol.25, No.4, pp.775-787, August 2017. Impact Factor 11.9

- A.-T. Nguyen, K. Tanaka, A. Dequidt, M. Dambrine, Static Output Feedback Design for a Class of Constrained Takagi-Sugeno Fuzzy Systems, Journal of the Franklin Institute, Vol.354, No.7, pp.2856-2870, May 2017. Impact Factor 3.653

- K. Tanaka, M. Tanaka, Y. Chen, and H. O. Wang, A New Sum-of-Squares Design Framework for Robust Control of Polynomial Fuzzy Systems with Uncertainties, IEEE Transactions on Fuzzy Systems, Vol.24, No.1,pp.94-110, Feb. 2016. Impact Factor 11.9

- TM Guerra, A Sala, K Tanaka, Fuzzy control turns 50: 10 years later (Invited Paper), Fuzzy Sets and Systems, Vol.281, pp.168-182, Dec. 2015. Impact Factor 2.907

- Y. Chen, M. Tanaka, K. Tanaka, H. Ohtake, H. O. Wang, Stability Analysis and Region-of-Attraction Estimation Using Piecewise Polynomial Lyapunov Functions: Polynomial Fuzzy Model Approach, IEEE Transactions on Fuzzy Systems, vol.23, no.4 pp.1314-1322 , August, 2015. Impact Factor 11.9

- YJ Chen, M Tanaka, K Inoue, H Ohtake, K Tanaka, TM Guerra, A nonmonotonically decreasing relaxation approach of Lyapunov functions to guaranteed cost control for discrete fuzzy systems, IET Control Theory & Applications 8 (16), 1716-1722 2014 Impact Factor 3.526

- YJ Chen, M Tanaka, K Tanaka, H Ohtake, H. O. Wang, Discrete polynomial fuzzy systems control, IET Control Theory & Applications 8 (4), 288-296 2014. Impact Factor 3.526

- YJ Chen, H Ohtake, K Tanaka, WJ Wang, H. O. Wang, Relaxed stabilization criterion for T–S fuzzy systems by minimum-type piecewise-Lyapunov-function-based switching fuzzy controller, IEEE Transactions on Fuzzy Systems, 20 (6), 1166-1173 2012. Impact Factor 11.9

- K Tanaka, H Ohtake, T Seo, M Tanaka, H. O. Wang, Polynomial fuzzy observer designs: A sum-of-squares approach, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 42 2012. Impact Factor 6.22

- YJ Chen, H Ohtake, K Tanaka, WJ Wang, H. O. Wang, Relaxed stabilisation criterion for discreteT-S fuzzy systems by minimum-type piecewise non-quadratic Lyapunov function, IET Control Theory & Applications, 6 (12), 1918-1925 2012. Impact Factor 3.526

- H Ohtake, K Tanaka, H. O. Wang, Fuzzy model-based servo and model following control for nonlinear systems, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 39 2009. Impact Factor 6.22

- K Tanaka, H Yoshida, H Ohtake, H. O. Wang, A sum-of-squares approach to modeling and control of nonlinear dynamical systems with polynomial fuzzy systems, IEEE Transactions on Fuzzy Systems, 17 (4), 911-922 2009. Impact Factor 11.9

- K Tanaka, H Ohtake, H. O. Wang, Guaranteed cost control of polynomial fuzzy systems via a sum of squares approach, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 39 2009. Impact Factor 6.22

- K Tanaka, K Yamauchi, H Ohtake, H. O. Wang, Sensor reduction for backing-up control of a vehicle with triple trailers, IEEE Transactions on Industrial Electronics, 56 (2), 497-509 2009. Impact Factor 7.503

For more publications, see here.