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← ScienceWhich consequence results when an adaptive PID controller's objective function in a chemical reactor encounters prolonged local minima?
A)Limit cycling about the setpoint✓
B)Accurate sustained oscillation elimination
C)Optimal response time achievement
D)Guaranteed global convergence speed
💡 Explanation
Limit cycling results because prolonged local minima traps the objective function, preventing PID parameters from reaching optimal settings due to algorithm stagnation. Therefore, oscillations emerge because convergence towards proper tuning halts, rather than converging efficiently.
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