Discrete-time fractional-order PID controller: Definition, tuning, digital realization and some applications

Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

Igor Podlubný · IEEE Transactions on Automatic Control · 1999 · 3.1K citations

Natural Sciences, Systems Engineering, Differential Equations +16

Revisiting the Ziegler–Nichols step response method for PID control

Κ.J. Åström, T. Hägglund · Journal of Process Control · 2004 · 1K citations

Engineering, Systems Engineering, Process Control +10

Tuning and auto-tuning of fractional order controllers for industry applications

Concepción A. Monje, Blas M. Vinagre, V. Feliú et al. · Control Engineering Practice · 2008 · 993 citations · Full text

Engineering, Industrial Engineering, Manufacturing Engineering +14

Discretization schemes for fractional-order differentiators and integrators

YangQuan Chen, Kevin L. Moore · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2002 · 562 citations

Natural Sciences, Mathematics, Computational Mechanics +14

Discrete-time fractional-order controllers

J. A. Tenreiro Machado · Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) · 2001 · 243 citations · Full text