Transcription of FreqResponse Analysis Design
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FreqResponse Analysis Design
MechatronicsFrequency Response Analysis & DesignK. Craig1 Frequency Response Analysis & Design In conventional control- system Analysis there are two basic methods for predicting and adjusting a system s performance without resorting to the solution of the system s differential equation. They are: Root-Locus Method Frequency-Response Method For the comprehensive study of a system by conventional methods it is necessary to use both methods of Response Analysis & DesignK. Craig2 Root-Locus Method Precise root locations are known and actual time response is easily obtained by means of the inverse Laplace Transform. Frequency-Response Method Frequency response is the steady-state response of a system to a sinusoidal input. In frequency-response methods, we vary the frequency of the input signal over a certain range and study the resulting response. The Design of feedback control systems in industry is probably accomplished using frequency-response methods more often than any other, primarily because it provides good designs in the face of uncertainty in the plant Response Analysis & DesignK.
• For a stable, linear, time-invariant system, the mathematical model is the linear ODE with constant coefficients: • q o is the output (response) variable of the system • q i is the input (excitation) variable of the system • a n and b m are the physical parameters of the system nn1 ooo nnn1n1 10o mm1 iii mmm1m1 10i dqdqdq aaaaq dtdtdt ...
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