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The optimal solution of the constrained nonlinear control system. (English) Zbl 0919.73119
Summary: Based on the simulation relation between computational structural mechanics and optimal control, the multi-level substructural analysis method in structural mechanics is used for the optimal solution of the constrained nonlinear control system. The nonlinear control system and its constraint are linearized first and the mixed energy of the time-interval is introduced, then the condensation formulae of the time-interval mixed energy are established according to the variational principle as the theory of structural mechanics. An iterative algorithm is designed for the solution of the above nonlinear control system, and a corresponding example is given.

MSC:
74M05 Control, switches and devices (“smart materials”) in solid mechanics
74P99 Optimization problems in solid mechanics
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