tailieunhanh - báo cáo hóa học: " Point to point control of fractional differential linear control systems"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Point to point control of fractional differential linear control systems | Dzielinski and Malesza Advances in Difference Equations 2011 2011 13 http content 2011 1 13 o Advances in Difference Equations a SpringerOpen Journal RESEARCH Open Access Point to point control of fractional differential linear control systems Andrzej Dzielinski and Wiktor Malesza Correspondence adziel@. Institute of Control and Industrial Electronics Warsaw University of Technology Koszykowa 75 00-662 Warsaw Poland SpringerOpen0 Abstract In the article an alternative elementary method for steering a controllable fractional linear control system with open-loop control is presented. It takes a system from an initial point to a final point in a state space in a given finite time interval. Keywords fractional control systems fractional calculus point to point control 1 Introduction Fractional integration and differentiation are generalizations of the notions of integerorder integration and differentiation. It turns out that in many real-life cases models described by fractional differential equations much more better reflect the behavior of a phenomena than models expressed by means of the classical calculus see . 1 2 . This idea was used successfully in various fields of science and engineering for modeling numerous processes 3 . Mathematical fundamentals of fractional calculus are given in the monographs 4-9 . Some fractional-order controllers were developed in . 10 11 . It is also worth mentioning that there are interesting results in optimal control of fractional order systems . 12-14 . In this article it will be shown how to steer a controllable single-input fractional linear control system from a given initial state to a given final point of state space in a given time interval. There is also shown how to derive hypothetical open-loop control functions and some of them are presented. This method of control is an alternative to . introduced in 15 in which a derived open-loop control is based on .

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