Design of Optimal PID Controller with ɛ-Routh Stability for Different Processes
المؤلفون المشاركون
Yu, Haibin
Yuan, Mingzhe
Li, Xianhong
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-22، 22ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-05-16
دولة النشر
مصر
عدد الصفحات
22
التخصصات الرئيسية
الملخص EN
This paper presents a design method of the optimal proportional-integral-derivative (PID) controller with ɛ-Routh stability for different processes through Lyapunov approach.
The optimal PID controller could be acquired by minimizing an augmented integral squared error (AISE) performance index which contains control error and at least first-order error derivative, or even may contain nth-order error derivative.
The optimal control problem could be transformed into a nonlinear constraint optimization (NLCO) problem via Lyapunov theorems.
Therefore, optimal PID controller could be obtained by solving NLCO problem through interior method or other optimization methods.
The proposed method can be applied for different processes, and optimal PID controllers under various control weight matrices and ɛ-Routh stability are presented for different processes.
Control weight matrix and ɛ-Routh stability’s effects on system performances are studied, and different tuning methods’ system performances are also discussed.
ɛ-Routh stability’s effects on disturbance rejection ability are investigated, and different tuning methods’ disturbances rejection ability is studied.
To further illustrate the proposed method, experimental results of coupled water tank system (CWTS) under different set points are presented.
Both simulation results and experiment results show the effectiveness and usefulness of the proposed method.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Li, Xianhong& Yu, Haibin& Yuan, Mingzhe. 2013. Design of Optimal PID Controller with ɛ-Routh Stability for Different Processes. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-22.
https://search.emarefa.net/detail/BIM-1009942
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Li, Xianhong…[et al.]. Design of Optimal PID Controller with ɛ-Routh Stability for Different Processes. Mathematical Problems in Engineering No. 2013 (2013), pp.1-22.
https://search.emarefa.net/detail/BIM-1009942
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Li, Xianhong& Yu, Haibin& Yuan, Mingzhe. Design of Optimal PID Controller with ɛ-Routh Stability for Different Processes. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-22.
https://search.emarefa.net/detail/BIM-1009942
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1009942
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر