## Automatic control systems |

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### Contents

Introduction and Mathematical Preliminaries | 1 |

Transfer Function and Graphical Descriptions of Linear | 34 |

Phase Plots | 94 |

Copyright | |

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### Common terms and phrases

amplifier asymptotes bandwidth block diagram Bode plot breakaway points characteristic equation closed-loop system closed-loop transfer function coefficients compensated system complex Consider corner frequency corresponding damping ratio decibels defined described determined differential equation discrete signal discrete-data control system discrete-data system elements error constants Example feedback control system finite forward path friction G(jco gain formula gain margin j-plane last equation linear system loop transfer function matrix method motor Nichols chart node Nyquist path Nyquist plot obtained open-loop transfer function output response overshoot phase margin phase shift phase-lag phase-lead compensation polar plot poles and zeros rad/sec real axis return difference right half root contours root loci root locus diagram sampler servo system shown in Fig signal flow graph sketched stability steady-state error system in Fig system shown tabulation torque transition equation transition signal flow unstable variable voltage z-transform zero-order hold zeros of G(s)H(s