Chaos synchronization using higher-order adaptive PID controller

被引:23
作者
Zirkohi, Majid Moradi [1 ]
Khorashadizadeh, Saeed [2 ]
机构
[1] Behbahan Khatam Alanbia Univ Technol, Dept Elect Engn, POB 63616-47189, Behbahan, Iran
[2] Univ Birjand, Fac Elect & Comp Engn, POB 97175-376, Birjand, Iran
关键词
Chaos synchronization; Higher-order adaptive PID controller; Teaching learning-based optimization algorithm; LEARNING-BASED OPTIMIZATION; SLIDING MODE; DESIGN; SYSTEMS; ALGORITHM;
D O I
10.1016/j.aeue.2018.07.005
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper is devoted to designing higher-order adaptive PID controllers as a new generation of PID controllers for chaos synchronization, in which second order integration and second-order derivative terms to the PID controller ((PIIDD2)-D-2) are employed. The five (PIIDD2)-D-2 control gains are updated online with a stable adaptation law driven by Lyapunov's stability theory. This is the unique advantage of the proposed approach. Furthermore, it is equipped with a novel robust control term to improve controller robustness against system uncertainties and unknown disturbances. An important feature of the proposed approach is that it is a model-free controller. In addition, to determine the control design parameters and avoid trial and error, the Teaching-learning-based optimization algorithm (TLBO) is employed to regulate these parameters and enhance the performance of the proposed controller. Based on the Lyapunov stability theory, it is proven that the proposed control scheme can guarantee the synchronization and the stability of closed-loop control system. The case study is the Duffing-Holmes oscillator. Comparative simulation results are presented which confirm the superiority of the proposed approach.
引用
收藏
页码:157 / 167
页数:11
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