We consider the control system
subject to the state-dependent control restraint
where Ω is a compact convex set, ℋ is a subspace, andC is a matrix. The existence of time-optimal maximal controls is proven. A natural application of this result is in solving time-optimal problems under the control restraintu(t)∈Ω and the requirement that the outputy=Sx be maintained at zero during the transfer, whereS is a given matrix. An example is provided.
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This work was supported in part by the National Research Council of Canada, under Grant No. A4641.
Communicated by G. Leitmann
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Stern, R.J. Time-optimal control under state-dependent control restraints. J Optim Theory Appl 24, 585–606 (1978). https://doi.org/10.1007/BF00935301
- State-dependent control restraints
- state restraints
- time-optimal control