Error bounds for general describing function problems

Journal Article · Tue Jun 01 04:00:00 EDT 1982 · IEEE Trans. Circuits Syst.; (United States)

DOI:https://doi.org/10.1109/TCS.1982.1085166· OSTI ID:5879234

Bergen, A R; Chua, L O; Mees, A I; Szeto, E W

The describing function method is widely used without much attention being paid to the error analysis so vital in any approximate method. One reason for this is the lack of a straightforward user-oriented method for checking error bounds except when the nonlinear element characteristic is single valued and of bounded slope. This paper attempts to eliminate that defect. A far wider range of nonlinear elements is now amenable to straightforward, usually graphical treatment; discontinuities, hysteresis, and backlash characteristics are included. In addition, previous results for slope-bounded single-valued nonlinear characteristics may be substantially improved with a small additional computational effort.

• DOE Contract Number: AC01-79ET29364
• OSTI ID: 5879234
• Journal Information: IEEE Trans. Circuits Syst.; (United States), Journal Name: IEEE Trans. Circuits Syst.; (United States) Vol. CAS-29:6; ISSN ICSYB
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
COMPUTER GRAPHICS
DIAGRAMS
ERRORS
FEEDBACK
FOURIER ANALYSIS
HARMONICS
HYSTERESIS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
NYQUIST DIAGRAMS
OPTIMIZATION
OSCILLATIONS
SYSTEMS ANALYSIS