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Compositional synthesis of state-dependent switching control. (English) Zbl 1405.93098

Summary: We present a correct-by-design method of state-dependent control synthesis for sampled switching systems. Given a target region \(R\) of the state space, our method builds a capture set \(S\) and a control that steers any element of \(S\) into \(R\). The method works by iterated backward reachability from \(R\). The method is also used to synthesize a recurrence control that makes any state of \(R\) return to \(R\) infinitely often. We explain how the synthesis method can be performed in a compositional manner, and apply it to the synthesis of a compositional control of a concrete floor-heating system with 11 rooms and up to \(2^{11} = 2048\) switching modes.

MSC:

93B50 Synthesis problems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C55 Discrete-time control/observation systems
93B03 Attainable sets, reachability
93C95 Application models in control theory
93B35 Sensitivity (robustness)

Software:

DynIbex
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References:

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