Time-constrained temporal logic control of multi-affine systems

Aydın Göl, Ebru
Belta, Calin
In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically co-safe linear temporal logic formulas over rectangular regions in the state space. The proposed algorithm is based on estimating the time bounds for facet reachability problems and solving a time optimal reachability problem on the product between a weighted transition system and an automaton that enforces the satisfaction of the specification. A random optimization algorithm is used to iteratively improve the solution.

Citation Formats
E. Aydın Göl and C. Belta, “Time-constrained temporal logic control of multi-affine systems,” NONLINEAR ANALYSIS-HYBRID SYSTEMS, vol. 10, pp. 21–33, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39745.