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Optimal control of container cranes. (English) Zbl 0488.93021


MSC:

93B40 Computational methods in systems theory (MSC2010)
93C10 Nonlinear systems in control theory
70H03 Lagrange’s equations
90B99 Operations research and management science
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References:

[1] Berkovitz, L. D., Variational methods in problems of control and programming, J. Math. Anal. Appl., 3, 145 (1961) · Zbl 0100.31005
[2] Hestenes, M. R., Multiplier and gradient methods, J. Optimiz. Theory and Appl., 4, 303 (1969) · Zbl 0174.20705
[3] Järmark, B., On convergence control in differential dynamic programming applied to realistic aircraft and differential game problems, (Proc. of 1977 IEEE Conference on Decision and Control (1977)), 471-479
[4] Martensson, K., New approaches to the numerical solution of optimal control problems, (Report 7206 (1972), Lund Institute of Technology) · Zbl 0287.49013
[5] Martensson, K., A constraining hyperplane technique for state variable constrained optimal control problems, Trans. ASME, J. Dynamic Systems, Measurement, and Control, 95, 380 (1973) · Zbl 0287.49013
[6] Meirovitch, L., (Analytical Methods in Vibrations (1967), Macmillan: Macmillan New York) · Zbl 0166.43803
[7] Nahra, J. E., Balance function for the optimal control problem, J. Optimiz. Theory and Appl., 8, 35 (1971) · Zbl 0206.15604
[8] Sakawa, Y.; Shindo, Y., On global convergence of an algorithm for optimal control, IEEE Trans Aut. Control, AC-25, 1149 (1980) · Zbl 0489.49017
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