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Fig 1.

Home configuration of the robotic manipulator.

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Fig 1 Expand

Fig 2.

Simulink open-loop model of the robotic manipulator.

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Fig 2 Expand

Table 1.

Physical parameters of the SimMechanics/Simulink model.

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Table 1 Expand

Table 2.

Specification of the proposed control system.

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Table 2 Expand

Fig 3.

LQR state feedback control in Simulink.

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Fig 3 Expand

Fig 4.

Response for LQR, Case I.

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Fig 4 Expand

Fig 5.

Actuator torques for LQR, Case I.

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Fig 5 Expand

Table 3.

Summary of results for LQR.

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Table 3 Expand

Fig 6.

SFG-SISO PI control in Simulink.

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Fig 6 Expand

Fig 7.

SFG-SISO PI response, Case I.

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Fig 7 Expand

Fig 8.

SFG-SISO PI actuator response, Case I.

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Fig 8 Expand

Table 4.

Summary of results for SFG-SISO PI controllers.

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Table 4 Expand

Fig 9.

SFG-MIMO PI control in Simulink.

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Fig 9 Expand

Fig 10.

SFG-MIMO PI response, Case I.

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Fig 10 Expand

Fig 11.

SFG-MIMO PI actuator response, Case I.

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Fig 11 Expand

Table 5.

Summary of results for SFG-MIMO PI.

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Table 5 Expand

Fig 12.

Reference trajectory for the robotic manipulator.

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Fig 12 Expand

Fig 13.

Tracking error for SFG-SISO PI control.

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Fig 13 Expand

Fig 14.

Tracking error for SFG-MIMO PI control.

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Fig 14 Expand

Table 6.

Comparison of results in terms of percentage reduction.

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Table 6 Expand

Fig 15.

Performance of LQR (Case I) under mass variation.

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Fig 15 Expand

Fig 16.

Performance of SFG-SISO (Case I) under mass variation.

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Fig 16 Expand

Fig 17.

Performance of SFG-MIMO (Case I) under mass variation.

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Fig 17 Expand