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


































                         FIGURE 3.11 The effect of the incorrect formation of the training set on the example of the comparison of the network
                         with the preprocessing layer (with regard to the stabilizer actuator model) and the mathematical model (3.23), (3.27). The
                         solid line is output of the model (3.23); the dotted line is the output of the neural network model; V z is the component of
                         the velocity vector along the Oy-axis; q is the angular velocity of the pitch; α is the angle of attack; δ e is the deflection angle
                                                                        (ref )      (ref )
                         of the stabilizer; t is the time; EV z , Eq are the differences |V z − V z  | and |q − q  |, respectively (From [99], used with
                         permission from Moscow Aviation Institute).
                                                                      logical, but quite realistic), to prove the right of
                                                                      the ANN to be present in the critical on-board
                                                                      systems, increasing (or, at least, not reducing)
                                                                      the effectiveness and safety of operation of the
                                                                      control facility.
                                                                         In this regard, in the following sections, pri-
                                                                      mary attention will be paid to the conservative
                                                                      approach to the use of the ANN as part of the
                         FIGURE 3.12 The neurocontroller in the control problem  control system. Then it will be shown how the
                         of the short-period longitudinal motion of the aircraft. V z is  formulated provisions are realized under radi-
                         the component of the velocity vector along the Oz-axis; q is  cal and compromise approaches.
                         the angular velocity of the pitch; δ e is the deflection angle
                         of the stabilizer;  δ e, cc is the angle of the adjusting deflec-  3.4.2.2 Synthesis of Neurocontrollers and
                         tion of the stabilizer (From [99], used with permission from
                         Moscow Aviation Institute).                          Ensembles of Neurocontrollers for
                                                                              Multimode Dynamical Systems
                         the ANN will be allowed. First, we must over-   Consider the concept of an ENC concerning
                         come a certain “novelty barrier” (albeit psycho-  the control problem for an MDS. To do this, we
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