Adaptive Robust PID Controller Design Based on a Sliding Mode for Uncertain Chaotic Systems

Volume 4, Issue 1, pp 71--80
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Authors

Yaghoub Heidari - Department of Electrical, Nour Branch, Islamic Azad University, Nour, Iran Rashin Nimaeeb Rad - Department of Mathematics, Nour Branch, Islamic Azad University, Nour, Iran

Abstract

A robust adaptive PID controller design motivated from the sliding mode control is proposed for a class of uncertain chaotic systems in this paper. Three PID control gains, $K_p, K_i$, and $K_d$, are adjustable parameters and will be updated online with an adequate adaptation mechanism to minimize a previously designed sliding condition. By introducing a supervisory controller, the stability of the closed-loop PID control system under with the plant uncertainty and external disturbance can be guaranteed. Finally, a well-known Vanderpol oscillator is used as an illustrative to show the efectiveness of the proposed robust a PID controller.

Share and Cite

ISRP Style

Yaghoub Heidari, Rashin Nimaeeb Rad, Adaptive Robust PID Controller Design Based on a Sliding Mode for Uncertain Chaotic Systems, Journal of Mathematics and Computer Science, 4 (2012), no. 1, 71--80

AMA Style

Heidari Yaghoub, Nimaeeb Rad Rashin, Adaptive Robust PID Controller Design Based on a Sliding Mode for Uncertain Chaotic Systems. J Math Comput SCI-JM. (2012); 4(1):71--80

Chicago/Turabian Style

Heidari, Yaghoub, Nimaeeb Rad, Rashin. "Adaptive Robust PID Controller Design Based on a Sliding Mode for Uncertain Chaotic Systems." Journal of Mathematics and Computer Science, 4, no. 1 (2012): 71--80

• Robust
• PID
• Vanderpol
• Chaos

•  93B51
•  37D45
•  37N35

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