Regular Papers

International Journal of Control, Automation and Systems 2018; 16(6): 2665-2675

Published online September 20, 2018

https://doi.org/10.1007/s12555-018-0015-z

© The International Journal of Control, Automation, and Systems

Adaptive Reliable H∞ Control of Uncertain Affine Nonlinear Systems

Ali Abootalebi*, Farid Sheikholeslam, and Saeed Hosseinnia

Isfahan University of Technology

Abstract

For general input affine nonlinear systems, robust reliable control designs are commonly available that compensate the actuator faults in pure outage mode. In this paper, a more general and complex problem is considered and an adaptive reliable H∞ controller is designed for a class of uncertain input affine nonlinear systems in the presence of actuators fault. The key element of the work is the introduction of a novel adaptive mechanism that estimates the faults which are modeled as an outage or loss of effectiveness and stabilizes the overall system. Incorporating with the parameter projection algorithm and the solution of Hamilton-Jacobi-Inequality (HJI), the proposed method combines adaptive reliable control and robust H∞ control techniques. A numerical approach is developed based on the Taylor series expansion for solving the HJI. Various simulation examples are given to illustrate the effectiveness of the proposed adaptive reliable H∞ control scheme over the conventional H∞ control and reliable H∞ control method. "

Keywords Adaptive control, H∞ control, Hamilton-Jacobi-inequality, HJI, reliable control systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2018; 16(6): 2665-2675

Published online December 1, 2018 https://doi.org/10.1007/s12555-018-0015-z

Copyright © The International Journal of Control, Automation, and Systems.

Adaptive Reliable H∞ Control of Uncertain Affine Nonlinear Systems

Ali Abootalebi*, Farid Sheikholeslam, and Saeed Hosseinnia

Isfahan University of Technology

Abstract

For general input affine nonlinear systems, robust reliable control designs are commonly available that compensate the actuator faults in pure outage mode. In this paper, a more general and complex problem is considered and an adaptive reliable H∞ controller is designed for a class of uncertain input affine nonlinear systems in the presence of actuators fault. The key element of the work is the introduction of a novel adaptive mechanism that estimates the faults which are modeled as an outage or loss of effectiveness and stabilizes the overall system. Incorporating with the parameter projection algorithm and the solution of Hamilton-Jacobi-Inequality (HJI), the proposed method combines adaptive reliable control and robust H∞ control techniques. A numerical approach is developed based on the Taylor series expansion for solving the HJI. Various simulation examples are given to illustrate the effectiveness of the proposed adaptive reliable H∞ control scheme over the conventional H∞ control and reliable H∞ control method. "

Keywords: Adaptive control, H∞ control, Hamilton-Jacobi-inequality, HJI, reliable control systems.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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