论文信息 - Nonlinear PI Compensators That Achieve High Performance

Nonlinear PI Compensators That Achieve High Performance

In this paper, linear time-invariant single-input single-output (SISO) systems that are stabilizable by a (linear) proportional and integral (PI) compensator are considered. For such systems a five-parameter nonlinear PI compensator is proposed. The parameters of the proposed compensator are tuned by solving an optimization problem. The optimization problem always has a solution. Additionally, a general non-linear PI compensator is proposed and is approximated by easy-to-compute compensators, for instance, a six-parameter nonlinear compensator. The parameters of the approximate compensators are tuned to satisfy an optimality condition. The superiority of the proposed nonlinear PI compensators over the linear PI compensator is discussed and is demonstrated for a feedback system.

S. Shahruz | A. Schwartz

[1] Richard M. Phelan,et al. Automatic Control Systems , 1977 .

[2] William L. Luyben,et al. Nonlinear and Nonconventional Liquid Level Controllers , 1980 .

[3] N. J. Krikelis. State feedback integral control with ‘ intelligent’ integrators , 1980 .

[4] N. Schiavoni,et al. On the initialization problem in the parameter optimization of structurally constrained industrial regulators , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[5] D. Braess. Nonlinear Approximation Theory , 1986 .

[6] W. Rugh. Design of nonlinear PID controllers , 1987 .

[7] Kevin Warwick,et al. Implementation of self tuning controllers , 1988 .

[8] Brian Roffel,et al. Simulation and Implementation of Self-Tuning Controllers , 1989 .

[9] Armando B. Corripio,et al. Tuning of Industrial Control Systems , 1990 .

[10] Hebertt Sira-Ramírez,et al. Design of P-I controllers for DC-to-DC power supplies via extended linearization , 1990 .

[11] P.J. Gawthrop,et al. Automatic tuning of commercial PID controllers for single-loop and multiloop applications , 1990, IEEE Control Systems Magazine.

[12] S. Shahruz,et al. Design and optimal tuning of nonlinear PI compensators , 1994 .