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Optimization of the Linear Systems with Unknown Dynamics Using Intelligent Operations Research Techniques

تحقيق أمثليّة الأنظمة الخطية بحركيات غير معلومة باستخدام تقنيات بحوث العمليات الذكية

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 Publication date 2016
  fields Mathematics
and research's language is العربية
 Created by Shamra Editor




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This paper presents a method for finding online adaptive optimal controllers for continuous-time linear systems without knowing the system dynamical matrices. The proposed method employs one of Intelligent Operations Research Techniques, this technique is the adaptive dynamic programming, to iteratively solve the algebraic Riccati equation using the online information of state and input, without requiring the a priori knowledge of the system dynamics. In addition, all iterations can be conducted by using repeatedly the same state and input information on some fixed time intervals. A practical online algorithm is developed in this paper, and is applied to the controller design for a turbocharged diesel engine with exhaust gas recirculation.

References used
Al-Tamimi, A., Lewis, F. L., & Abu-Khalaf, M. (2007). Model-free Q-learning designs for linear discrete-time zero-sum games with application to H-infinity control. Automatica, 43(3), 473–481
(Baird, L.C.III. (1994). Reinforcement learning in continuous time: advantage updating. In Proceedings of IEEE international conference on neural networks. (pp.2448–2453
Bhasin, S., Sharma, N., Patre, P., & Dixon, W. E. (2011). Asymptotic tracking by a reinforcement learning-based adaptive critic controller. Journal of Control Theory and Applications, 9(3), 400–409
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