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
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.
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.
Ali Abootalebi*, Farid Sheikholeslam, and Saeed Hosseinnia
Isfahan University of Technology
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.
Vol. 23, No. 3, pp. 683~972
Changhui Wang*, Yihao Wang, and Mei Liang*
International Journal of Control, Automation, and Systems 2025; 23(3): 945-959Nigar Ahmed, Meng Joo Er*, and Syed Awais Ali Shah
International Journal of Control, Automation, and Systems 2025; 23(3): 860-868Yue Wang, Yong-Hui Yang*, and Li-Bing Wu
International Journal of Control, Automation, and Systems 2025; 23(1): 175-186