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s The transfer function G, (s), G,,(s), G,,(s) and G,,(s) are obtained by conducting step test. By keeping constant inflow rate to the tank, the steady state responses of open loop systems are obtained. From the open loop responses of two interacting conical tank system, the transfer func- tions are obtained as follows. Relative gain Array (RGA) matrix is computed for the transfer function is given by

Figure 3 s The transfer function G, (s), G,,(s), G,,(s) and G,,(s) are obtained by conducting step test. By keeping constant inflow rate to the tank, the steady state responses of open loop systems are obtained. From the open loop responses of two interacting conical tank system, the transfer func- tions are obtained as follows. Relative gain Array (RGA) matrix is computed for the transfer function is given by

Related Figures (6)

The mathematical model of the Two Interaction Conical Tank (TICT) system is given by
The mathematical model of the Two Interaction Conical Tank (TICT) system is given by
Table 1. Conical tank specifications
Table 1. Conical tank specifications
Figure 1. Two Interacting Conical Tank System.
Figure 1. Two Interacting Conical Tank System.
Table 2. The comparisons of different method’s ISE values of TICT
Table 2. The comparisons of different method’s ISE values of TICT
Figure 3. Servo Response of Tank 2. Figure 2. Servo Response of Tank 1.
Figure 3. Servo Response of Tank 2. Figure 2. Servo Response of Tank 1.
For TICT, three tuning methods (Davison method and Tanttu and Liesleh to method) are used. The ISE and Peak overshoot values of both methods are compared which shown in Figure 2, Figure 3 and Table 2. In this
For TICT, three tuning methods (Davison method and Tanttu and Liesleh to method) are used. The ISE and Peak overshoot values of both methods are compared which shown in Figure 2, Figure 3 and Table 2. In this
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PID control
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