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The Controller Equations
The ClosedLoop Equations
4 other sections not shown
analog computer analysis automatic controller Chapter closed-loop control system closed-loop equation closed-loop system complete solution constant coefficients controller circuit controller constants controller equations CONTROLLER Fig controller section derivative control disturbance dt║ dt dx/dt equa equation 3.1 expressed mathematically expression final control element ideal controller ideal lagless integral control integral response integro-differential equation Lag in Measuring linear differential equation mathematical measuring and valve measuring element measuring system Ohm's Law Operational amplifier outflow output portional control potentiometers pressure procedure process and controller process constants process control process equation process with ideal proportional control factor proportional plus reset proportional response raises the order rate control rate of change represents resistances and capacities resistor Routh's criterion shown in Fig Single-capacity process single-capacity system stability steady-state solution Substituting summing amplifier system equation tank three-capacity process tion transient solution troller Two-capacity Process valve circuit x–xo x—xo xq-xqo zero