## Linear systems analysis |

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### Contents

SYSTEMS AND THEIR MODELS | 1 |

CLASSIFICATION OF SYSTEMS | 24 |

ANALYSIS OF FIRST AND SECOND ORDER SYSTEMS | 45 |

Copyright | |

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amplifier analog computer analog computer flow analysis armature assumed becomes block diagram called capacitor characteristic equation circuit closed loop coefficients coil complex components constant d.c. motor damping derivative Determine differential equation dynamic systems electrical engineering Example exponential feedback filter forcing function formula forward path Fourier series Fourier transform frequency functional blocks given harmonic Hence impulse response initial conditions instant integral Laplace inverse Laplace transform linear systems magnitude mathematical model matrix method multiplied node non-linear obtained op-amp output parameters periodic function phase angle phase variables physical systems poles polynomial potentiometer problem pulse ramp relation RLC circuit roots s-plane second order system shown in Fig signal flow graph simulation sinusoidal solution spectrum steady-state error step input step response system variables Taking the Laplace techniques temperature thermal tion transfer function transient response variable representation vector voltage waveform zero