International Journal of Modern Nonlinear Theory and Application

Volume 2, Issue 1 (March 2013)

ISSN Print: 2167-9479   ISSN Online: 2167-9487

Google-based Impact Factor: 0.27  Citations  

Practical Stabilization for Uncertain Pseudo-Linear and Pseudo-Quadratic MIMO Systems

HTML  Download Download as PDF (Size: 294KB)  PP. 34-42  
DOI: 10.4236/ijmnta.2013.21004    5,759 Downloads   8,334 Views  Citations
Author(s)

ABSTRACT

In this paper the problem of practical stabilization for a significant class of MIMO uncertain pseudo-linear and pseudo-quadratic systems, with additional bounded nonlinearities and/or bounded disturbances, is considered. By using the concept of majorant system, via Lyapunov approach, new fundamental theorems, from which derive explicit formulas to design state feedback control laws, with a possible imperfect compensation of nonlinearities and disturbances, are stated. These results guarantee a specified convergence velocity of the linearized system of the majorant system and a desired steady-state output for generic uncertainties and/or generic bounded nonlinearities and/or bounded disturbances.

Share and Cite:

L. Celentano, "Practical Stabilization for Uncertain Pseudo-Linear and Pseudo-Quadratic MIMO Systems," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 1, 2013, pp. 34-42. doi: 10.4236/ijmnta.2013.21004.

Cited by

[1] Pseudo-PID Robust Tracking Design Method for a Significant Class of Uncertain MIMO Systems
IFAC-PapersOnLine, 2017
[2] Robust controller design of a distributed transport system
Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles (ESARS), 2015 International Conference on, 2015
[3] New Results and Applications on Robust Stability and Tracking of Pseudo-Quadratic Uncertain MIMO Discrete-Time Systems
Global Journal of Science Frontier Research, 2013

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.