Direct and exact methods for the synthesis of discrete-time proportional-integral-derivative controllers

作者：Cuoghi Stefania^*; Ntogramatzidis Lorenzo

来源：IET Control Theory and Applications, 2013, 7(18): 2164-2171.

DOI：10.1049/iet-cta.2013.0064

• control system synthesis
• discrete time systems
• Nyquist diagrams
• robust control
• three-term control
• discrete time PID controller synthesis
• steady-state performance
• robustness specification
• posteriori discretisation
• graphical design procedure
• Nyquist plane

This study presents a new set of formulae for the design of discrete proportional-integral-derivative (PID) controllers under requirements on steady-state performance and robustness specifications, such as phase and the gain margins, as well as the gain crossover frequency. The proposed technique has the advantage of avoiding trial-and-error procedures or approximations connected to an a posteriori discretisation. This method can also be implemented as a graphical design procedure in the Nyquist plane. The plot of suitable regions can be used to check a priori if the problem leads to feasible values of the PID parameters.

• 出版日期2013-12-12