On the problem of optimization in group control. (English) Zbl 1425.93107
Kondratenko, Yuriy P. (ed.) et al., Advanced control techniques in complex engineering systems: theory and applications. Dedicated to Professor Vsevolod M. Kuntsevich. Cham: Springer. Stud. Syst. Decis. Control 203, 51-61 (2019).
Summary: Given is a team of \(m\) controlled motions with two types of members, a target set \(\mathcal{M}\) and an array \(\mathbf{E}_k(t)\) of external obstacles. The problem is for both types to simultaneously reach the target, avoiding the obstacles and the possible mutual collisions, while performing the overall process in minimal time. The problem solution is described in terms of the Hamiltonian formalism.
For the entire collection see [Zbl 1416.93005].
For the entire collection see [Zbl 1416.93005].
Keywords:
coordinated control; closed-loop control strategies; nonlinear feedback; Hamiltonian formalism; group motionReferences:
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