The definitions of fractional and commensurable transfer functions from section 3.1 can easily be adapted to the complex case.

Chapter Contents:

• 14.1 Complex order transfer functions
• 14.1.1 Definitions
• 14.1.2 Time and frequency responses
• 14.1.3 Frequency response of s z
• 14.2 Approximations of complex order transfer functions
• 14.2.1 Fractional approximations of complex order transfer functions
• [14.2.2 Frequency response of Gℜ, Gℑ, G̃ℜ and G̃ℑ, 14.2.2 Frequency response of Gℜ, Gℑ, and]
• [14.2.3 Non-linearities in the frequency response of Gℜ, Gℑ, G̃ℜ and G̃ℑ, 14.2.3 Non-linearities in the frequency response of Gℜ, Gℑ, and]
• 14.2.4 Integer approximations of complex order transfer functions
• 14.2.5 Crone approximation of a linear phase
• 14.2.6 Logarithmic phase Crone controller

Inspec keywords: transfer functions

Other keywords: complex case; commensurable transfer functions; complex order transfer functions; fractional transfer functions

Subjects: Control system analysis and synthesis methods