## Classical Control Using H-Infinity Methods: Theory, Optimization, and DesignThis versatile book teaches control system design using H-Infinity techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. Until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using H-Infinity techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections. |

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### Contents

OT65_ch1 | 3 |

OT65_ch2 | 11 |

OT65_ch3 | 17 |

OT65_ch4 | 35 |

OT65_ch5 | 47 |

OT65_ch6 | 65 |

OT65_ch7 | 101 |

OT65_pt3 | 112 |

OT65_ch16 | 185 |

OT65_pt5 | 191 |

OT65_ch17 | 195 |

OT65_ch18 | 199 |

OT65_ch19 | 203 |

OT65_ch20 | 211 |

OT65_appendixa | 223 |

OT65_appendixb | 227 |

OT65_ch8 | 117 |

OT65_ch9 | 124 |

OT65_ch10 | 133 |

OT65_ch11 | 139 |

OT65_ch12 | 143 |

OT65_pt4 | 150 |

OT65_ch13 | 155 |

OT65_ch14 | 163 |

OT65_ch15 | 169 |

OT65_appendixc | 231 |

OT65_appendixd | 241 |

OT65_appendixe | 248 |

OT65_appendixf | 249 |

OT65_appendixg | 259 |

OT65_appendixh | 265 |

OT65_appendixi | 273 |

281 | |

### Other editions - View all

Classical Control Using H-Infinity Methods: Theory, Optimization, and Design J. William Helton,Orlando Merino No preview available - 1998 |

### Common terms and phrases

algorithms analytic functions Anopt approximation Banach space Bode plots Chapter closed-loop system closed-loop transfer function compensator complex constraint continuous function convergence coordinate descent defined design problem diagnostics disk inequality disk iteration equations error example formula frequency domain function f gain-phase margin given gradient alignment condition grid Hº optimization input internally stable systems interpolation interpolation conditions invertible J. W. HELTON jay axis linear linesearch mathematical matrix MERINO method Nehari Newton iteration nonnegative norm obtain OPTDesign optimality conditions optimization problem output parameters performance function performance requirements plant P(s plot produces proof rad/s radius function rational function relative degree requirements envelope RHP poles RHP zeros semidefinite programming smooth solution to OPT solving OPT space step response sublevel sets T(ej T(jaj T(jw Theorem theory Toeplitz operator unit circle unit disk values variables winding number zeros and poles