Usage of a zero-sum differential game in the optimal control of an object described by a nonlinear model

[1] Basar T., Olsder G.J., Dynamic Noncooperative Game Theory, Academic Press, London/New York, 1995.Search in Google Scholar

[2] Breitner M.H., Robust optimale Rückkopplungssteuerungen gegen unvorhersehbare Einflüsse: Differentialspielansatz, numerische Berechnung und Echtzeitapproximation, Reihe 8: Mess, Steuerung und Regelungstechnik, VDI Verlag, Düsseldorf, 1996.Search in Google Scholar

[3] Breitner M.H., Pesch H.J., Grimm W., Complex Differential Games of Pursuit-Evasion Type with State Constraints, Part 1: Necessary Conditions for Optimal Open-Loop Strategies, Journal of Optimization Theory and Applications, Vol. 78, No. 3, 1993, 419–441.10.1007/BF00939876Search in Google Scholar

[4] Butz T., von Stryk O., Modelling and Simulation of Electro- and Magnetorheological Fluid Dampers, ZAMM, Vol. 82, No. 1, 2002, 3–20.10.1002/1521-4001(200201)82:1<3::AID-ZAMM3>3.0.CO;2-OSearch in Google Scholar

[5] Hendzel Z., Penar P., Zastosowanie dwuosobowej gry różniczkowej o sumie zerowej do sterowania elementem mechatronicznym, Modelowanie Inżynierskie No. 60, 2016, 21–27.Search in Google Scholar

[6] Pesch H.J., A Practical Guide to the Solution of Real-Life Optimal Control Problems, Control and Cybernetics, 23, 1/2, 1994, 7–60.Search in Google Scholar

[7] Rettig U., von Stryk O., Optimal and Robust Damping Control for Semi-Active Vehicle Suspension, Progress in Industrial Mathematics at ECMI 2002, book series MATHINDUSTRY, Vol. 5, 2002, 353–361.10.1007/978-3-662-09510-2_48Search in Google Scholar

[8] Starr A.W., Ho Y.C., Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, No. 3, 1969, 184–206.10.1007/BF00929443Search in Google Scholar

[9] von Stryk O., User’s guide for Dircol (Version 2.1): a direct collocation method for the numerical solution of optimal control problems, Technical report, Simulation and Systems Optimization Group, TU Darmstadt, 2002.Search in Google Scholar

[10] Willems J.C., Dissipative Dynamical Systems, Part I: General Theory, Archive for Rational Mechanics and Analysis, Vol. 45, 1972, 321–351.10.1007/BF00276493Search in Google Scholar