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158             4. NEURAL NETWORK BLACK BOX MODELING OF AIRCRAFT CONTROLLED MOTION

                         4.3.4 Adaptive Control of Angular            (t = 20 sec) is manifested as a shift of the center
                                Aircraft Motion Under                 by +10%, the second (t = 50 sec) as a decrease in
                                Uncertainty Conditions                longitudinal control efficiency by 50%.

                         4.3.4.1 Influence of Atmospheric              4.3.4.2 Adaptation to Uncertainties in
                                 Turbulence on the Efficiency of an            Source Data
                                 Adaptive Control System for the         The presence of uncertainties in the source
                                 Aircraft Longitudinal Motion         data leads to the fact that the neural network
                            One of the issues traditionally difficult for  model and the neurocontroller will be tuned in-
                         adaptive control systems is their ability to with-  accurately and this inaccuracy has a negative ef-
                         stand disturbing external effects of a random na-  fect on the quality of control.
                         ture.                                           In the computational experiments conducted,
                            In this section, an attempt is made to evaluate,  inaccurate knowledge of the aircraft dynamics
                         for the MRAC system, how well a synthesized  was simulated by the fact that at the beginning
                         system can cope with disturbances, including  of the simulation, an ANN model or neurocon-
                         cases when emergencies arise.                troller tuned to a different flight mode was spec-
                            As a model of atmospheric turbulence, the  ified. Thus, the synthesis of the control law was
                         well-known Dryden model was used, as de-     applied to one flight mode (Mach number and
                         scribed in the MIL-F-8785C standard and imple-  altitude of flight), and then the control law be-
                         mented in the Simulink modules of the        gan to work quite in other conditions. The cor-
                         Aerospace Toolbox for the Matlab package. The  respondence of the flight regime, for which the
                         effect of turbulence is manifested through ad-  synthesis of the control law and the regime in
                         ditional components for the vertical velocity V z  which this control law was tested in the compu-
                         and the pitch angular velocity q.            tational experiments, is given in Table 4.1.
                            All results were obtained for the maneuver-  Two options were considered.
                         able F-16 aircraft, for the flight regime H =    According to the first variant, the adapta-
                         100 mand V = 600 km/h. They are presented    tion mechanism was activated (its main features
                         in Figs. A.57–A.60.                          were considered in Chapter 1), which allowed
                            Two cases are considered:                 for the correction of the control law in relation to
                                                                      the operating conditions in which it appeared.
                         1. A disturbing effect of 
V z, turb in the range
                                                                         The second approach was to assess the impor-
                            ±10 m/sec, 
q turb in the range ±0.2 deg/sec
                                                                      tance of the introduced adaptation mechanisms
                            (Figs. A.57 and A.58).
                                                                      by revealing their contribution to the overall
                         2. A disturbing effect of 
V z, turb in the range
                                                                      task of ensuring the necessary control quality
                            ±20 m/sec, 
q turb in the range ±2 deg/sec
                                                                      under changing operating conditions. The adap-
                            (Figs. A.59 and A.60).
                                                                      tation mechanisms were disconnected to imple-
                            To evaluate the effect of atmospheric turbu-  ment this approach, that is, the control law was
                         lence on the characteristics of the controlled sys-  not adjusted, and the problem of ensuring the
                         tem, for each of the cases considered, two ver-  control quality for the system was entirely car-
                         sions were calculated, i.e., with and without tur-  ried out by the robustness mechanisms, includ-
                         bulence.                                     ing the compensating circuit introduced into the
                            In all variants, the behavior of the system was  systems in Section 4.3.2.3.
                         considered with successive emergence of two     The results of the computational experiments
                         failure situations introduced in the same way  within the first of the variants listed above are
                         as wasdoneinSection 4.3.2.5. The first of them  presented in the next two paragraphs. The sec-
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