Dynamic optimization, Volume 1
"Dynamic Optimization" takes an applied approach to its subject, offering many examples and solved problems that draw from aerospace, robotics, and mechanics. The abundance of thoroughly tested general algorithms and Matlab codes provide the reader with the practice necessary to master this inherently difficult subject, while the realistic engineering problems and examples keep the material interesting and relevant.
32 pages matching control histories in this book
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1 POPParameter Optimization Using Gradient
2 POPNParameter Optimization Using NR
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altitude analytical angle backward sequencing Backward Shooting boundary conditions calculate calculus of variations climb closed-loop closed-loop poles Compare your results Compute constant CONSTR control histories determined discrete DOPC DTDP dual problem DVDP for Max Dynamic Optimization eigenvalues eigenvectors Example feedback gains final FMINU FOPC FOPT Forward Shooting FSOLVE in Matlab ft/sec functi given Hu(i initial guess integration iterations kT(i Lagrange multiplier linear listed in Table Matlab Code max radius Max Range minimize necessary conditions nonlinear normalized ns=length(s0 optimal control optimal path parameter pendulum performance index phi,phis phugoid plot the optimal quadratic Range with Gravity results with Figure Riccati equation root locus Script shooting algorithms Show shown in Figure Solar Sail solved specified subroutine tangent law terminal constraints terminal errors time-to-go TPBVP transition matrix units variable velocity version of Problem wish to find x(tf zero
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