PIλDμ controller design for fractional order systems with random parameters
Mathematical representation of plant dynamics can suffer from random uncertainties caused by modeling errors, nonlinearities, manufacturing tolerances and operating conditions. The parametric stability and performance of a fractional order system can be inferred from the evolution of the statistical characteristics of the system’s output under the influence of random perturbations. A statistical analysis problem was constructed to determine how specific parametric perturbations affect output of a fractional order plant. Wiener-Askey polynomial chaos provided a framework for the statistical analysis of dynamic systems at a computational cost less than Monte-Carlo and Latin-Hypercube simulations. Therefore, it was used here to predict the mean and variance of output of fractional order systems with Gaussian random parameters. A robust PIλDμcontroller for fractional order systems with random uncertainties was designed by nonlinear optimization of suitable performance criteria.
Pham Luu Trung Duong Moonyong Lee
School of Chemical Engineering, Yeungnam University, Gyeongsan, Korea
国际会议
2011 International Symposium on Advanced Control of Industrial Processes(2011工业过程先进控制技术国际研讨会)
杭州
英文
559-564
2011-05-01（万方平台首次上网日期，不代表论文的发表时间）