Limit cycles in PI control loops with absolute deadband sampling

Absolute deadband sampling is used in discrete control systems for reduction of the number of produced events. Under proper conditions, this sampling type results in limit cycles in steady state, which lead to increased number of events and deteriorate the sampling efficiency. This paper investigates the condition of emergence of limit cycles in the closed control loops with PI controllers, as well as the frequency of limit cycles.

[1]  Karl-Erik Årzén,et al.  Computer Control: An Overview , 2002 .

[2]  Karl-Erik Årzén,et al.  TrueTime: Simulation of Control Loops Under Shared Computer Resources , 2002 .

[3]  V. Vasyutynskyy,et al.  Towards Comparison of Deadband Sampling Types , 2007, 2007 IEEE International Symposium on Industrial Electronics.

[4]  Volodymyr Vasyutynskyy,et al.  Simple PID control algorithm adapted to deadband sampling , 2007, 2007 IEEE Conference on Emerging Technologies and Factory Automation (EFTA 2007).

[5]  Seth R. Sanders,et al.  Quantization resolution and limit cycling in digitally controlled PWM converters , 2003 .