velocity and position control systems as presented in this chapter is tabulated in Table 7.3. Because of the desire to have very fast pick cycle times, dynamic response times for the algorithms were required to be kept as short as possible. Another very important criterion of all of the control systems was that they remain stable during all phases of operation. The performance of the vision control system was more critical than that of either other control mode. The vision control system was required to maintain a steady-state error of 65 pixels or less on joint 0 and 47 pixels or less for joint 1. Maximum phase angles are also presented in this chapter. These phase angles were used later in defining and tuning the vision controller. Also, requirements were specified for the amplitude ratio for the vision control system. Because the worst of the two cases was not distinguishable, both cases were passed on to the controller design and tuning phase. Table 7.3. Summary of performance criteria for the velocity, position, and vision control algorithms. Static Dynamic Max. Allowable Max. Allowable Steady-State Error Overshoot Joint 0 Velocity Control 40% 45% Position Control 0.7 degree (25 bits) 15% Vision Control 65 pixels see Figure 7.7 Joint 1 Velocity Control 40% 45% Position Control 1.1 degrees (12 bits) 15% Vision Control 47 pixels see Figure 7.7 Joint 2 Velocity Control 10% 25% Position Control 3 cm (33 bits) 15%