By P. Albertos, R.S. Strietzel, N. Mort
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Extra info for Control Engineering Solutions: A Practical Approach
Besides a sound understanding of elementary control structures the student gains experience in experimentation and measurement. 3 Technical approaches In the following the properties of different types of controllers are presented as a basis for practical experiments. 1 Design of single loop control The adjustment of controller parameters is solved by the following methods: — — — Application of tuning rules based on the step response of the plant, as developed by Chien et ah . Calculation of parameters using the transfer function of the plant and approximation of the open loop transfer function by a IT!
H) enables a study of the existence of a limit cycle to be undertaken, together with its frequency and amplitude, which can be determined analytically, numerically or graphically. 2 Phase plane For non-linear systems of second order, the phase plan is a very instructive way to represent dynamic behaviour. Representation in the phase plane can be achieved by: — — the method of isoclines; or the method of switching trajectories. 9. 13 describes the course of the isocline for a given inclination c.
1 1 ... 11 io... no a = Oov\ kovD 0... 1 0... 10 Ty. 1 ... 1 1... 1 ... 1 1 ... 1 ... 1 1 ... 11 0... 1 0... 10 0... 10 T=Ty/20 The following have been selected from the great variety of experiments possible. 16, the response of the correcting variable and controlled variable should be measured to a step of reference and/or disturbance variables, showing their dependence on different parameters of the PI controller. 2 s S2(s) (UsT, (i + sr 3 )(i + sr 4 ) . 17. The input variables are vapour streamy and output material flow^, and the output variables are the temperature xT and the level xs.