LMI and control (with some MATLAB simulations) 📖Linear matrix inequalities📖
Channel: 制御工学チャンネル [制御工学の専門チャンネル]
Date: 2020-07-20

#matlab #simulation #linear matrix inequality #LMIs
Control systems design using *LMIs*

(control engineering) Various control methods
https://youtu.be/0Ah8hEYSrwE

[Latest article 2021/5/2] Estimation of robust invariant set for switched linear systems [JCMSI]
https://youtu.be/F4IF7vmCdfQ

MATLAB simulation(optimal control)
https://www.youtube.com/watch?v=7fC6eSKof5g

🔄Edited version of this VIDEO(6 min.) https://youtu.be/QfXJ01dIpL0

🅿️LMI codes (Lyapunov inequality for continuous-time systems and discrete-time systems, L2-induced norm analysis and feedback gain design). 

All Matlab codes can be available from my home page (Hiroshi Okajima).
✅https://sites.google.com/view/okajima-lab/en/linear-matrix-inequality

H. Okajima(ORCID)
✅https://orcid.org/0000-0001-7621-7482

My latest articles (Published Journal Papers)

📖[16] R. Yoshida, Y. Tanigawa, H. Okajima, and N. Matsunaga, A Design Method of Model Error Compensator for Systems with Polytopic-type Uncertainty and Disturbances, SICE Journal of Control, Measurement, and System Integration, Latest article (T&F, Open Access)https://www.tandfonline.com/doi/full/10.1080/18824889.2021.1918392?src=

📖[15] H. Okajima, K. Fujinami, Estimation of Robust Invariant Set for Switched Linear Systems using Recursive State Updating and Robust Invariant Ellipsoid, SICE Journal of Control, Measurement, and System Integration, Volume 14 Issue 1 Pages 97-106 (2021) (T&F, Open Access)
https://www.tandfonline.com/doi/full/10.1080/18824889.2021.1918372

📖[14] H. Okajima, Y. Nakabayashi and N. Matsunaga, Signal-Limitation Filters to Simultaneously Satisfy Constraints of Velocity and Acceleration Signals, SICE Journal of Control, Measurement, and System Integration, Volume 13 Issue 1 Pages 1-8 (2020) (T&F, Open Access)
https://www.tandfonline.com/doi/abs/10.9746/jcmsi.13.1

#LMIs #LinearMatrixInequality

*My web: (Okajima Lab. Research Papers)*
https://www.control-theory.com/en
*ORCID:*
https://orcid.org/0000-0001-7621-7482
*Main YouTube:*
https://www.youtube.com/@ControlEngineeringChannel
*Twitter:*
https://twitter.com/control_eng_ch
*Blog:*
https://blog.control-theory.com/archive/category/Control-Theory
*Portal site:*
https://www.portal.control-theory.com

Related field (Control)
IEEE Control systems society, IEEE Transactions on Automatic Control, IEEE Transactions on Control Systems Technology, IEEE Transactions on Industrial Electronics, IEEE Open Journal of Control Systems
IFAC(International Federation of Automatic Control, Automatica, Control Engineering Practice, Annual Reviews in Control
International Journal of Control, System and Control Letters

0:00 Introduction to LMIs
3:18 MATLAB command for continuous-time system(LMIs for stability)
5:13 MATLAB command for discrete-time system(LMIs for stability)
7:34 L2 induced norm analysis
9:56 Design controller based on LMIs