THE OPTIMAL SOLUTION OF THE CONSTRAINED NONLINEAR CONTROL-SYSTEM

Based on the simulation relation between computational structural mech anics and optimal control, the multi-level substructural analysis meth od in structural mechanics is used for the optimal solution of the con strained nonlinear control system. The nonlinear control system and it s constraint are linearized first and the mixed energy of the time-int erval is introduced, then the condensation formulae of the time-interv al mixed energy are established according to the variational principle as in the theory of structural mechanics. The iterative algorithm is designed for the solution of the above nonlinear control system, and a corresponding example is given.