Transcription of Review of Frequency Response Analysis
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Review of Frequency Response Analysis
535 APPENDIX B Review of Frequency Response Analysis Objectives The objective of this appendix is to Review the basic concepts behind Frequency re-sponse Analysis and its use in control system design. Topics discussed include Bode and Nyquist plots. Nyquist stability theorem. Closed-loop Response characteristics. Controller performance and design criteria. INTRODUCTION By Frequency Response we mean the Response characteristics of the system when subject to sinusoidal inputs. The input Frequency is varied, and the output characteristics are computed or represented as a function of the Frequency . Frequency Response Analysis provides useful insights into stability and performance characteristics of the control system. Figure shows the hypothetical experiment that is conducted.
536 Review of Frequency Response Analysis Appendix B Input System or Process Output Figure B.1 How frequency response is defined. The system is subject to an input of the form xt A t t() sin( ) 0.= ω > (B.1) After some initial transient period, the output settles down to a sine wave of the form
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