In the present chapter we demonstrate that tuning rules derived from minimization of indexes depending on closed loop transfer functions yield homogeneous and nonhomogeneous tuning rules, depending on the closed loop functions considered in the minimization index.

Chapter Contents:

• 6.1 Introduction
• 6.2 Homogeneous PID tuning rules
• 6.2.1 Dimensionless controller parameters
• 6.2.2 Homogeneous tuning rules characterization
• 6.2.3 Dimensionless controller representation with homogeneous tuning rules
• 6.3 Closed loop transfer functions
• 6.3.1 Loop transfer function
• 6.3.2 Dimensionless closed loop transfer functions
• 6.4 Optimality of homogeneous tuning rules
• 6.4.1 Weighting factors
• 6.5 Homogeneous and nonhomogeneous tuning rules
• References

Inspec keywords: transfer functions; three-term control; closed loop systems

Other keywords: PID tuning rules homogeneity; closed loop transfer functions; index minimization; homogeneous tuning rules; nonhomogeneous tuning rules

Subjects: Control system analysis and synthesis methods