## Automatic Control System |

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this is very nice book to study and for clear your concepts

### Contents

Chapter 1 Basics of Control Systems 1 1 to 1 | 1 |

Chapter 2 Basics of Laplace Transform 21 to 218 | 2-1 |

Chapter4 Mathematical Modeling of Control Systems 41 to 4 | 3-23 |

Examples with Solutions 4 50 | 3-72 |

Review Questions 476 | 3-98 |

Examples with Solutions 5 34 | 5-34 |

Review Questions 5 53 | 5-53 |

Examples with Solutions 6 25 | 6-25 |

Examples with Solutions 821 | 8-21 |

Review Questions 840 | 8-40 |

Examples with Solutions 928 | 9-28 |

Review Questions 979 | 9-79 |

Chapter 11 Stability Analysis using Bode Plots 11 1to 1174 | 11-1 |

Chapter 12 Polar and Nyqulst Plots 121 to 1266 | 12-1 |

endixA Matrix Algebra A1 to A16 | A-1 |

Inverse of a Matrix A 7 | A-7 |

Review Questions 644 | 6-44 |

Chapter8 Concept of Stability 8 1 to 8 | 8-1 |

Generalized Eigen Vectors A | A-13 |

### Common terms and phrases

angle condition asymptotes Automatic Control Systems Bode plot branches breakaway point called characteristic equation closed loop poles closed loop system complex conjugate Consider constant damping ratio dB/dec Determine displacement electrical network encirclements Example factor forward path frequency response friction G(jco)H(jco half of s-plane Hence imaginary axis Key Point Laplace transform linear loop transfer function magnitude condition magnitude plot matrix mechanical system method negative real axis node non-touching loops Nyquist path Nyquist plot obtained open loop poles open loop transfer oscillations output overshoot partial fraction phase angle phase margin polar plot pole at origin pole-zero plot rad/sec reference input right half root locus Routh's array second order system Section servomotor shift signal flow graph simple pole Solution stability steady state error summing point system is stable system shown take off point Taking Laplace unit step unstable variables voltage zero