Title :
Nonlinear state observers by gradient descent method
Author :
Shimizu, Kiyotaka
Author_Institution :
Fac. of Sci. & Technol., Keio Univ., Yokohama, Japan
Abstract :
This paper concerns with a new nonlinear state observer of deterministic general nonlinear systems; which is designed based on the gradient descent method for decreasing squared estimation errors. The convergence of the proposed observer is proved by using the Bihari type inequality which generalizes the Gronwall inequality. We confirm from various simulations that our method works very well as a nonlinear state observer with superior convergence properties
Keywords :
gradient methods; nonlinear systems; observers; Bihari type inequality; Gronwall inequality; gradient descent method; nonlinear state observer; nonlinear state observers; observer convergence; squared estimation errors; Asymptotic stability; Convergence; Error correction; Estimation error; Gain; Linear systems; Nonlinear equations; Nonlinear systems; Observers; State estimation;
Conference_Titel :
Control Applications, 2000. Proceedings of the 2000 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
0-7803-6562-3
DOI :
10.1109/CCA.2000.897498
