{"title":"Implementation of a Paraconsistent-Fuzzy Digital PID Controller in a Level Control Process","authors":"H. M. C\u00f4rtes, J. I. Da Silva Filho, M. F. Blos, B. S. Zanon","volume":131,"journal":"International Journal of Computer and Information Engineering","pagesStart":1196,"pagesEnd":1205,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10008182","abstract":"
In a modern society the factor corresponding to the increase in the level of quality in industrial production demand new techniques of control and machinery automation. In this context, this work presents the implementation of a Paraconsistent-Fuzzy Digital PID controller. The controller is based on the treatment of inconsistencies both in the Paraconsistent Logic and in the Fuzzy Logic. Paraconsistent analysis is performed on the signals applied to the system inputs using concepts from the Paraconsistent Annotated Logic with annotation of two values (PAL2v). The signals resulting from the paraconsistent analysis are two values defined as Dc - Degree of Certainty and Dct - Degree of Contradiction, which receive a treatment according to the Fuzzy Logic theory, and the resulting output of the logic actions is a single value called the crisp value<\/em>, which is used to control dynamic system. Through an example, it was demonstrated the application of the proposed model. Initially, the Paraconsistent-Fuzzy Digital PID controller was built and tested in an isolated MATLAB environment and then compared to the equivalent Digital PID function of this software for standard step excitation. After this step, a level control plant was modeled to execute the controller function on a physical model, making the tests closer to the actual. For this, the control parameters (proportional, integral and derivative) were determined for the configuration of the conventional Digital PID controller and of the Paraconsistent-Fuzzy Digital PID, and the control meshes in MATLAB were assembled with the respective transfer function of the plant. Finally, the results of the comparison of the level control process between the Paraconsistent-Fuzzy Digital PID controller and the conventional Digital PID controller were presented.<\/p>\r\n","references":"[1]\tAbe, J. M. \u201cFundamentos da L\u00f3gica Anotada\u201d Thesis PhD, in portuguese FFLCH\/USP - S\u00e3o Paulo, 1992.\r\n[2]\tDa Silva Fiho, J. I., Lambert-Torres, G. and Abe, J. M. \u201cUncertainty Treatment Using Paraconsistent Logic - Introducing Paraconsistent Artificial Neural Networks\u201d. IOS Press, p.328 pp. Volume 211, Netherlands, 2010.\r\n[3]\tAlchourr\u00f3n, C. & D. Makinson, 1981, \u201cHierarchies of regulations and their logic\u201d, In R. Hilpinen, editor, New Studies in Deontic Logic, pp. 123-148, D. Heidel.\r\n[4]\tAnand, R. & Subrahmanian, V.S. \u201cA Logic Programming System Based on a Six-Valued Logic\u201d AAAI\/Xerox Second Intl. Symp. on Knowledge Eng. - Madri-Espanha, 1987. \r\n[5]\tDa Silva Filho, J.I. \u201cTreatment of Uncertainties with Algorithms of the Paraconsistent Annotated Logic\u201d, Journal of Intelligent Learning Systems and Applications, vol. 4, pp. 144-153, May, 2012. \r\n[6]\tCruz C. M. et al. \u201cApplication of Paraconsistent Artificial Neural network in Statistical Process Control acting on voltage level monitoring in Electrical Power Systems\u201d, 18th International Conference on Intelligent System Application to Power Systems (ISAP), pp. 1-6, Porto\u2013PT, Sep, 2015\r\n[7]\tDa Silva Filho, J.I. \u201cM\u00e9todos de Aplica\u00e7\u00f5es da L\u00f3gica Paraconsistente Anotada de anota\u00e7\u00e3o com dois valores LPA2v com constru\u00e7\u00e3o de Algoritmo e Implementa\u00e7\u00e3o de Circuitos Eletr\u00f4nicos\u201d. PhD Thesis, in portuguese EPUSP, S\u00e3o Paulo, Brazil.\r\n[8]\tSubrahmanian, V.S \u201cOn the semantics of quantitative L\u00f3gic programs\u201d Proc. 4 th. IEEE Symposiumon Logic Programming, Computer Society press, Washington D.C, 1987.\r\n[9]\t\tDa Costa, N.C.A. & Abe, J.M. &Subrahmanian, V.S. \u201cRemarks on Annotated Logic\u201d Zeitschrift fur Mathematische Logik und Grundlagen der Mathematik, Vol.37, pp.561-570, 1991.\r\n[10]\tDa Costa, N.C.A., \u201cOn the theory of inconsistent formal systems\u201d, Notre Dame J. of Formal Logic, 15, 497-510, 1974.\r\n[11]\tChen, C. Lee., \u201cFuzzy Logic in Control Systems: Fuzzy Logic Controller - Part I\u201d \u2013 IEEE \u2013 Transaction on Systems, Mam and Cybernectics, vol-20, No-2, p.p. 404-435, March\/April,1990.\r\n[12]\tSakaguchi, S. & Sakai, I. & Haga, T. \u201cApplication of Fuzzy Logic Scheduling Method for Automatic Transmission\u201d IEEE Technology Update Series Select Conference Papers-pag-94-100.USA, 1993.\r\n[13]\tZadeh, L. \u201cOutline of a New Approach to the Analysis of Complex Systems and Decision Processes\u201d \u2013IEEE- Transaction on Systems, Mam and Cybernectics, vol. SMC-3, No-1, p.p. 28-44, January,1973.\r\n[14]\tChangela, M., Kumar A. \u201cDesign a Controller for Two Tank Interacting System\u201d \u2013 IJSR International Journal of Science and Research, vol. 4, Issue 5, May, 2015.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 131, 2017"}