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102    3. NEURAL NETWORK BLACK BOX APPROACH TO THE MODELING AND CONTROL OF DYNAMICAL SYSTEMS

                            Chapter 5, and we present examples of their  advanced aircraft technology remains a chal-
                            use in Chapter 6.                         lenging task so far. First of all, this is because a
                                                                      modern multipurpose highly maneuverable air-
                                                                      craft should operate under a wide range of flight
                            3.4 ANN-BASED CONTROL OF                  conditions, masses, and inertial characteristics,
                                   DYNAMICAL SYSTEMS                  with a significant nonlinearity of the aerody-
                                                                      namic characteristics and the dynamic behavior
                                                                      of aircraft.
                            The development of complex controlled sys-   For this reason, it seems relevant to try to ex-
                         tems raises some problems that we cannot solve  pand the range of methods and tools tradition-
                         through traditional control theory alone. These  ally used to solve aircraft control problems, bas-
                         tasks associate mainly with such uncertainty in
                                                                      ing these methods on the approaches offered by
                         the conditions of the system operation, which  intelligent control. One such approach is based
                         requires the implementation of decision-making  on the use of ANNs.
                         procedures that are characteristic of a person
                         with the ability to reason heuristically, to learn,
                         to accumulate experience. The need for train-  3.4.1 Adjustment of Dynamic Properties
                         ing arises when the complexity of the problem       of a Controlled Object Using
                         being solved or the level of uncertainty under      Artificial Neural Networks
                         its conditions does not allow for obtaining the
                                                                         In this section, an attempt is made to show
                         required solutions in advance. Training in such  that using ANN technology we can solve the
                         cases makes it possible to accumulate informa-  problem of appropriate representation (approx-
                         tion during the operation of the system and use
                                                                      imation) of a nonlinear model of aircraft motion
                         it to develop solutions that meet the current sit-
                                                                      with high efficiency. Then, using such approx-
                         uation dynamically. We call systems that imple-
                                                                      imation, we can synthesize a neural controller
                         ment such functions intelligent control systems.
                                                                      that solves the problem of adjusting the dynamic
                            In recent years, intelligent control, which
                                                                      properties of some controlled object (aircraft).
                         studies methods and tools for constructing and  First, we state the problem of adjusting the
                         implementing intelligent control systems, is an  dynamic properties of a controlled object (plant),
                         actively developing field of interdisciplinary re-  based on an indirect assessment of these prop-
                         search based on the ideas, techniques, and tools  erties using the reference model. It is proposed
                         of traditional control theory, artificial intelli-  to solve this problem by varying the values of
                         gence, fuzzy logic, ANNs, genetic algorithms,  the parameters of the controller, producing ad-
                         and other search and optimization algorithms.  justive actions on the plant.
                            Complex aerospace systems, in particular, air-  Then a structural diagram of varying the pa-
                         craft, entirely belong to these complex controlled  rameters of the adjusting (correcting) controller
                         systems. In the theory of automatic control and  is proposed using a reference model of the be-
                         its aerospace applications, significant progress  havior of the plant. We show that we have to re-
                         has been made in the last few decades. In partic-  place the traditional model of aircraft motion in
                         ular, considerable progress has been made in the  the form of a system of nonlinear ODEs with an-
                         field of computing facilities, which allows carry-  other model that would have substantially less
                         ing out a significant amount of calculations on  computational complexity. We need this replace-
                         board of the aircraft.                       ment to ensure the efficient operation of the pro-
                            However, despite all these successes, the syn-  posed control scheme. As such an alternative
                         thesis of control laws adequate to modern and  model, it is suggested to use an ANN.
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