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Control Systems - Part 2

Classical Controls Phương pháp cổ điển của các điều khiển liên quan đến phân tích và thao tác các hệ thống trong lĩnh vực tần số phức tạp. Miền, nhập vào bằng cách áp dụng Laplace, Fourier Transforms, rất hữu ích trong việc kiểm tra các đặc điểm của hệ thống, và xác định phản ứng của hệ. | Control Systems Print version - Wikibooks collection of open-content textbooks Page 33 of 209 Classical Controls The classical method of controls involves analysis and manipulation of systems in the complex frequency domain. This domain entered into by applying the Laplace or Fourier Transforms is useful in examining the characteristics of the system and determining the system response. http en.wikibooks.org w index.php title ControlSystems Printversion printable yes 10 30 2006 Control Systems Print version - Wikibooks collection of open-content textbooks Page 34 of 209 Transforms Transforms There are a number of transforms that we will be discussing throughout this book and the reader is assumed to have at least a small prior knowledge of them. It is not the intention of this book to teach the topic of transforms to an audience that has had no previous exposure to them. However we will include a brief refresher here to refamiliarize people who maybe cannot remember the topic perfectly. If you do not know what the Laplace Transform or the Fourier Transform are yet it is highly recommended that you use this page as a simple guide and look the information up on other sources. Specifically Wikipedia has lots of information on these subjects. Laplace Transform The Laplace Transform converts an equation from the time-domain into the so-called S-domain or the Laplace domain or even the Complex domain . These are all different names for the same mathematical space and they all may be used interchangably in this book and in other texts on the subject. The Transform can only be applied under the following conditions 1. The system or signal in question is analog. 2. The system or signal in question is Linear. 3. The system or signal in question is Time-Invariant. The transform is defined as such F Ỉ I lLaplace Transform Jo Laplace transform results have been tabulated extensively. More information on the Laplace transform including a transform table can be found in the .