Summary
The problem of robust control is introduced and formulated as a multi-model problem. A controller structure is assumed and its free parameters are designed by three methods: Frequency domain, pole region assignment and performance vector optimization. A brief survey of other robustness approaches for frequency domain stability margins and robust asymptotic tracking concludes the paper.
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Literatur
Ackermann, J.: Abtastregelung, Bd. II Entwurf robuster Systeme, Berlin: Springer 1983.
Horowitz, I., Sidi, M.: Synthesis of cascaded multiple-loop feedback systems with large plant parameter ignorance, Automatica (1973), vol. 9, 589–600.
Horowitz, I.: Quantitative synthesis of uncertain multiple input-output feedback system, Int.J.Control (1979), vol. 30, 81–106.
Sondergeld, K.P.: A generalization of the Routh1-Hurwitz stability criteria and application to feedback design, IEEE Trans. Aut. Control (1983).
Ackermann, J., Kaesbauer, D.: D-Decomposition in the space of feedback gains for arbitrary pole regions, Preprints VIII IFAC Congress, Kyoto, Vol. IV, 12–17. (Eingereicht auch bei Automatica)
Ackermann, Jw Türk, S.: A common controller for a family of plant models. Preprints IEEE Conf. on Decision and Control, Orlando 1982, 240–244.
Franklin, S.N., Ackermann, J.: Robust flight control: A design example. AIAA J. Guidance and Control (1981), vol. 4, 597–605.
Kreisselmeier, G., Steinhauser, R.: Systematische Auslegung von Reglern durch Optimierung eines vektoriellen Gütekriteriums, Regelungstechnik (1979), vol. 27, 76–79.
Kreisselmeier, G.: Controller design using a performance index vector and a gradient-free parameter optimization algorithm, Eingereicht bei IEEE Trans. Aut. Control.
Kreisselmeier, G., Steinhauser, R.: Application of vector performance optimization to a robust control loop design for a fighter aircraft, Int. J. Control (1983), vol. 37, 251–284.
Sander, N., Steinhauser, R.: Entwurf eines Flugzustandsreglers für einen Flugkörper mittels Optimierung eines vektoriellen Gütekriteriums, DFVLR-Forschungsbericht, erscheint 19 83.
Steinhauser, R.: Regelung eines Tieftemperatur-Windkanals, Vortrag beim Regelungstechnischen Kolloquium Boppard, Feb. 1983.
Cuno, B., Steinhauser, R.: Design of automatic generation control by optimizing a vector performance index. Eingereicht bei Automatica.
Zakian, V., A1 Naib, U.: Design of dynamical and control systems by a method of inequalities, Proc. IEE (1973) 120, 1421.
Harvey, C.A. Pope, R.E.: Insensitive control technology development, NASA Contractor Report 2947, Feb. 1978.
Vinkler, A., Wood, L.: A comparison of several techniques for designing controllers of uncertain dynamic systems, Preprints IEEE Conf. on Decision and Control, San Diego, 1978, 31–38.
Gembicki, F.W., Haimes, Y.Y.: Multiobjective optimization approach to performance and sensitivity: The goal attainment method. IEEE Trans. Aut. Control (1975), vol. 20, 669–771.
Tabak, 0., Schy, A.A., Giesy, D.P., Johnson, K.G.: Application of multiobjective optimization in aircraft control systems design, Automatica (1979), vol. 15, 595–600.
Mayne, D.Q., Polak, E., Sangiovanni-Vincentelli, A.: Computer-aided design via optimization: A review, Automatica (1982), vol. 18, 147–154.
Doyle, J.C., Stein, G.: Multivariable feedback design: Concepts for a classical/modern synthesis, IEEE Trans. Aut. Control (1981), 4–16.
Postlethwaite, I., Edmunds, J.M., MacFarlane, A.G.J.: Principal gains and principal phases in the analysis of linear multi-variable feedback systems, IEEE Trans. Aut. Control (1981), 32–46.
Safanov, M.G., Laub, A.J., Hartmann, G.L.: Feedback properties of multivariable systems: The role of the return difference matrix. IEEE Trans. Aut. Control (1981), 47–65.
Cruz, J.B., Freudenberg, J.S., Looze, D.P.: A relationship between sensitivity and stability of multivariable feedback systems, IEEE Trans. Aut. Control (1981), 66–74.
Kalman, R.E.: When is a linear system optimal? Trans. ASME, J. Basic Engineering (1964), vol. 86, 51–60.
Anderson, B.D.O., Moore, J.B.: Linear optimal control, Englewood Cliffs: Prentice Hall, 1971.
Lektomaki, N.A., Sandell, N.R., Athans, A.: Robustness results in LQG based multivariable control designs, IEEE Trans. Aut. Control (1981), vol. 26, 75–93.
Willems, Jacques, van der Voorde, H.: The return difference for discrete-time optimal feedback systems, Automatica (1978), vol. 14, 511–513.
Davison, E.J.: Robust controller design. Kapitel 13 in Bell, Cook, Munro (ed.): Design of modern control systems. Stevenage: Peregrinus, 1982.
Ackermann, J.: Abtastregelung, Berlin, Springer 1972 und 1983, Bd. I, 237–243.
Young, K.K.D., Kokotovic, P., Utkin, V.: A singular perturbation analysis of high-gain feedback systems. IEEE Trans. Aut. Control (1977), vol. 22, 931–938.
Franke, D.: Strukturvariable Regelung ohne Gleitzustande, Regelungstechnik (1982), 271–276.
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Ackermann, J. (1983). Entwurfsverfahren für Robuste Regelungen. In: Syrbe, M., Thoma, M. (eds) Fortschritte durch digitale Meß- und Automatisierungstechnik. Fachberichte Messen · Steuern · Regeln, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95443-6_26
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DOI: https://doi.org/10.1007/978-3-642-95443-6_26
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