Critical frequency

Frequency Domain Analysis

Published in P.N. Paraskevopoulos, Modern Control Engineering, 2017

Thus, if we choose 20 log K = –39.3 dB, which yields K = 0.0108, it follows that the frequency ω = 0.2 rad/sec is the critical frequency of the compensated system. At this point, our design is completed. Checking the results, from Figure 8.47 it follows that it is true that the critical frequency and the bandwidth are the same. If we further draw the phase curve of the open-loop system transfer function G(s)F(s), we will have that the phase margin is 75°, which is quite satisfactory.

Control of Generalized Decoupled MIMO Systems Based on Linear Programming Method

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Journal Information

Published in IETE Journal of Research, 2023

Sumit Kumar Pandey, Jayati Dey, Subrata Banerjee

The extension of this RGA leads the pairing analysis to non-zero frequencies also. The effective gain of the system is defined as below considering the gain as well as the dynamic information of the system [29,30]. Here, static gain and normalized transfer function, critical frequencies. Here the critical frequency is considered as the phase cross-over frequency or bandwidth of the system. One can write the approximating the integration of for a rectangular area as, It leads to the definition of an effective gain matrix as, Here, static gain, is matrix of critical frequencies defined as below and represents multiplication of element by element. Now similar to RGA the MRGA can be written as below also the pairing rules are considered the same as RGA.

Critical frequency

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Frequency Domain Analysis

Control of Generalized Decoupled MIMO Systems Based on Linear Programming Method