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The method needs only the steady state gain matrix (SSGM).
The steady state gain of the FOPDT process is assumed to be known a priori.
As a part of the optimization formulation, common requirements for input shapers such as non-decreasing step response and unity steady state gain are considered in the design.
When handling constraints, if prospective constraint variables show such nonlinearity, control problems may arise because the steady state gain changes its sign.
In this approach, the singular value decomposition (SVD) of the steady state gain matrix is used to rotate the input signals along the directions of the right singular vectors.
The time constants increased from 0.5 s with PRBS loading of 100 150 Ω, to 6.2 s at 950 1 kΩ; although steady state gain varied little, (0.12 0.20 mV Ω−1).
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The steady-state gain of the valve relates controller output to a process flow.
Previous constrained signal design methods are usually based on the steady-state gain matrix of a process.
The method allows the engineer to predict the steady-state gain between the production rate and certain other key process variables for various choices of controlled variables.
The steady-state gain of a control valve is determined at its operating point, since its gain may vary somewhat throughout its stroke.
Previous research has shown that a key factor is to identify a steady-state gain matrix with minimal mismatch in the multi-variable gain directionality.
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