∗for Submission to Special Session on “fractional Order Control” Organized by Profs. Blas M. Vinagre and Vicente Feliu, the Third Symposium on Fractional Derivatives and Their Applications (asme Fdta2007) at the 6th Asme International Conference on Multibody
نویسندگان
چکیده
This paper aims to apply the practical tuning procedure for fractional order proportional and integral controller (FO-PI) to two experimental platforms. The first platform is Quanser’s Heat Flow Experiment (HFE) and the second platform is the Quanser’s Rotary Flexible Joint (RFJ) Module. The fractional controllers in both cases have been digitally implemented using Oustaloup’s recursive approximation. The second system however can also be controlled with the Fractroller which uses the novel element Fractor1. Practical issues are introduced and discussed and interesting experimental results are reported that could serve as sample applications of the proposed FO-PI tuning rules.
منابع مشابه
Practical Tuning of Fractional Order Proportional and Integral Controller (i): Tuning Rule Development
This paper presents a new practical tuning method for fractional order proportional and integral controller (FO-PI). The plant to be controlled is mainly FOPDT (first order plus delay time). The tuning is optimum in the sense that the load disturbance rejection is optimized yet with a constraint on the maximum or peak sensitivity. We generalized MIGO (Ms constrained integral gain optimization) ...
متن کاملThe Modeling and Prediction of Great Salt Lake Elevation Time Series Based on Arfima
The elevation of Great Salt Lake (GSL) has a great impact on the people of Utah. The flood of GSL in 1982 has caused a loss of millions of dollars. Therefore, it is very important to predict the GSL levels as precisely as possible. This paper points out the reason why conventional methods failed to describe adequately the rise and fall of the GSL levels – the long-range dependence (LRD) propert...
متن کاملOptimal Tunings for Fractional PI D Controllers
The objective of this work is to nd out optimum settings for a fractional PI D controller in order to ful l ve different design speci cations for the closed-loop system, taking advantage of the fractional orders, and . Since these fractional controllers have two parameters more than the conventional PID controller, two more speci cations can be met, improving the performance of the system. Fo...
متن کاملThe Stability of Non-standard Finite Difference Scheme for Solution of Partial Differential Equations of Fractional Order
Fractional derivatives and integrals are new concepts of derivatives and integrals of arbitrary order. Partial differential equations whose derivatives can be of fractional order are called fractional partial differential equations (FPDEs). Recently, these equations have received special attention due to their high practical applications. In this paper, we survey a rather general case of FPDE t...
متن کاملRobust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems
This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...
متن کامل