Synthesis of a Fuzzy Controller According to the Degree of Stability of the Control System

Author:

Bykovtsev Y. A.1

Affiliation:

1. MIREA — Russian Technological University

Abstract

The article is devoted to solving the problem of analysis and synthesis of a control system with a fuzzy controller (fuzzy  control system) in terms of the degree of stability. As interest in fuzzy control systems grows, various approaches to the study of such systems are being developed more and more actively.  One of the most actively developing areas is based on the modification  of methods for assessing the stability regions of nonlinear ACS, however, when solving most practical problems, this knowledge is not enough, since the developer needs to provide the required qualitative  characteristics of the transient process (and,  in particular, the control time).  Therefore, the synthesis of fuzzy  ACS  in terms of the degree of stability seems to be quite constructive, since it allows quite accurately  assessing the performance of a fuzzy ACS.  The proposed solution is based on the criterion of absolute stability for a system with an approximated  nonlinear  characteristic of a fuzzy controller, which can be obtained  directly on the basis of the Sugeno method. The article develops Yakubovich’s circular criterion of absolute stability, modified for a fuzzy control system, using a shifted  AFC of the linear part. With  this approach, it is possible to obtain  a completely  constructive  solution to the problem of synthesizing  the parameters  of a fuzzy  controller in the frequency  domain.  On the example  of fuzzy  control systems with static and  astatic linear parts, the features of the application  of the developed  approach are shown and  methods for synthesizing the parameters of a fuzzy controller are proposed. The analysis of the influence of individual  components of the nonlinear  transformation  on the quality  of the transient  process is carried out, and  on the basis of this a number  of practical recommendations are given for correcting the fuzzy controller settings that provide the required performance.

Publisher

New Technologies Publishing House

Subject

Electrical and Electronic Engineering,Artificial Intelligence,Computer Science Applications,Human-Computer Interaction,Control and Systems Engineering,Software

Reference13 articles.

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2. Jantzen J. Foundations of Fuzzy Control: A Practical Approach, John Wiley & Sons, 2013, 352 p.

3. Tanaka K., Sano M. On the concepts of regulator and observer of fuzzy control systems, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference, 1994, vol. 2, pp. 767—772.

4. Choi H. H., Jung J. Discrete-time fuzzy speed regulator design for PM synchronous motor, IEEE Transactions on Industrial Electronics, vol. 60, no. 2, pp. 600—607.

5. Makarov I. M., Lokhin V. M. Synthesis automation and training of intelligent automatic control systems, Moscow, Nauka, 2009, 227 p. (in Russian).

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