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Temporal Logic Control of Switched Affine Systems with an Application in Fuel Balancing 
Abstract 
We consider the problem of synthesizing hi … We consider the problem of synthesizing hier archical controllers for discretetime switched affine systems subject to exogenous disturbances that guarantee that the trajectories of the system satisfy a highlevel specification expressed as a linear temporal logic formula. Our method builds upon recent results on temporal logic planning and embedded controller synthesis. First, the control problem is lifted to a discrete level by constructing a finite transition system that abstracts the behavior of the underlying switched system. At the discrete level, we recast the problem as a two player temporal logic game by treating the environment driven switches as adversaries. The solution strategy for the game (i.e. the discrete plan) is then implemented at the continuous level by solving finitehorizon optimal control problems that establish reachability between discrete states and that compensate the effects of continuous disturbances. We also extend the earlier work by making efficient use of propositions in the temporal logic formula to drive the abstraction procedure and to facilitate the computation of continuous input at implementation time.
An aircraft fuel system example is formulated; and solved using the proposed method. This sample problem demonstrates the applicability of the abstraction procedure and correctbyconstruction controllers to regulate the fuel levels in multiple tanks during interesting operations like aerial refueling. eresting operations like aerial refueling. +


Authors  Petter Nilsson, Necmiye Özay, Ufuk Topcu and Richard M. Murray + 
Funding  CorrectbyConstruction Synthesis of Control Protocols for Aerospace Systems + 
ID  2011o + 
Source  Submitted, 2012 American Control Conference (ACC) + 
Tag  notm12acc + 
Title  Temporal Logic Control of Switched Affine Systems with an Application in Fuel Balancing + 
Type  Conference Paper + 
Categories  Papers 
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29 March 2019 20:05:02 + 
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http://www.cds.caltech.edu/~murray/preprints/notm12acc_s.pdf + 
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Temporal Logic Control of Switched Affine Systems with an Application in Fuel Balancing +  Title 
