Natural Frequency (NatFreq) Download NatFreq.m As shown, there are twelve original state elements, four longitudinal controls, three lateral-directional controls, and three disturbances. It presents matrices for body or hybrid/stability axes, for longitudinal or lateral-directional partitions, and for fourth- or sixth-order computations. It either passes the matrices unchanged, re-orders elements of the matrices, or generates a selected reduced-order model from them. LonLatDir.m accepts stability and control-effect matrices for longitudinal and lateral-directional dynamics. Supporting Functions Reduced-Order Models (LonLatDir) Download LonLatDir.m Examples of FmodelFile.mat, GmodelFile.mat, and ControlData.mat are included. The chosen model is summarized in ControlData.mat. The nominal trimmed flight condition also is stored in FmodelFile.mat. SURVEY.m makes calculations based on the (12 x 12) Fmodel, (12 x 7) Gmodel, and (12 x 3) Lmodel matrices that are stored in FmodelFile.mat and GmodelFile.mat by FLIGHTv2.m. EQUILIBRIUM RESPONSE to Control Perturbations.CONTROLLABILITY and OBSERVABILITY with Single Input or Output.SINGLE-INPUT/SINGLE-OUTPUT (SISO) ANALYSES.EIGENVALUES and EIGENVECTORS using StabMode.m.NATURAL FREQUENCIES, DAMPING RATIOS, and REAL ROOTS using NatFreq.m.Specification of SYSTEM MODEL DIMENSION AND AXES.The MATLAB code is written in chapter format as follows: Main Program for Analysis and Simulation (SURVEY) The code is subject to continuing change, and user suggestions for improving the code are welcome. No explicit or implicit warranties are made regarding the accuracy or correctness of the computer code. SURVEY.m is tutorial, and the USER controls program flow by making changes in the code. A transfer function model of human-pilot neuromuscular lags can be included in control responses. It forms single-input/single-output transfer functions for all possible combinations in the model selected by the user and makes their Bode, Nyquist, and Nichols plots with a simple change, these plots can be generated for disturbance inputs as well. SURVEY.m calculates initial-condition response, equilibrium response, control response, controllability and observability matrices, natural frequencies, damping ratios, real roots, eigenvalues and eigenvectors for the open-loop system. The program is based on material found in Flight Dynamics, Second Edition, Princeton University Press, 2022. The function produces a single model at each call for either longitudinal or lateral-directional motions, in body or hybrid/stability axes, and with four or six elements in the state vector. The SURVEY.m script provides the option of reducing these matrices into smaller models using the function LonLatDir.m. A mathematical model based on the trim condition is stored in FmodelFile.mat and GmodelFile.mat. SURVEY.m is a MATLAB program that analyses linear, time-invariant (LTI) response for the stability and control-effect matrices computed in FLIGHTv2.m. Linear System Survey Linear System SURVEY Supplement for Flight Dynamics, Second Edition,
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