Åström, K. J.; Hägglund, T. Automatic tuning of simple regulators with specifications on phase and amplitude margins. (English) Zbl 0543.93039 Automatica 20, 645-651 (1984). Summary: The paper describes procedures for automatic tuning of regulators of the PID type to specifications on phase and amplitude margins. The key idea is a simple method for estimating the critical gain and the critical frequency. The procedure will automatically generate the appropriate test signal. The method is not sensitive to modelling errors and disturbances. It may be used for automatic tuning of simple regulators as well as initialization of more complicated adaptive regulators. Cited in 4 ReviewsCited in 88 Documents MSC: 93C40 Adaptive control/observation systems 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 93B30 System identification 93B35 Sensitivity (robustness) 93B40 Computational methods in systems theory (MSC2010) 93C10 Nonlinear systems in control theory Keywords:describing function; automatic tuning; adaptive regulators PDF BibTeX XML Cite \textit{K. J. Åström} and \textit{T. Hägglund}, Automatica 20, 645--651 (1984; Zbl 0543.93039) Full Text: DOI References: [1] Åström, K.J., Ziegler-nichols auto-tuners, () [2] Åström, K.J., Theory and applications of adaptive control, Automatica, 19, 471-486, (1983) · Zbl 0537.93048 [3] Åström, K.J.; Anton, J., Expert control, () · Zbl 0589.93037 [4] Åström, K.J.; Hagander, P.; Sternby, J., Zeros of sampled systems, Automatica, 20, 31-38, (1984) · Zbl 0542.93047 [5] Åström, K.J.; Hägglund, T., Automatic tuning of simple regulators, () · Zbl 0543.93039 [6] Åström, K.J.; Hägglund, T., A frequency domain approach to analysis and design of simple feedback loops, () · Zbl 0543.93039 [7] Åström, K.J.; Wittenmark, B., On self-tuning regulators, Automatica, 9, 185-199, (1973) · Zbl 0249.93049 [8] Åström, K.J.; Zhaoying, Z., Self-tuners with automatic adjustment of the sampling period for processes with time delays, () [9] Atherton, D.P., () [10] Atherton, D.P., Limit cycles in relay systems, Electronic lett., 18, No. 21, (1982) · Zbl 0535.92001 [11] Gawthrop, P.J., Self-tuning PI and PID regulators, () · Zbl 0446.93035 [12] Gelb, A.; Vander Velde, W.E., () [13] Gille, J.C.; Pelegrin, M.J.; Decaulne, P., () [14] Kurz, H., Digital parameter-adaptive control of processes with unknown constant or time-varying dead time, () · Zbl 0508.93067 [15] Tsypkin, J.A., () [16] Wittenmark, B.; Åström, K.J., Simple self-tuning controllers, () · Zbl 0249.93049 [17] Ziegler, J.G.; Nichols, N.B., Optimum settings for automatic controllers, Trans. ASME, 65, 433-444, (1943) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.