Temporal Verification of Simulink Diagrams

Abstract

Automatic verification of programs and computer systems with input variables represents a significant and wellmotivated challenge. The case of Simulink diagrams is especially difficult, because there the inputs are read iteratively and the number of input variables is in theory unbounded. We apply the techniques of explicit model checking to account for the temporal (control) aspects of verification and use set-based representation of data, thus handling both sources of nondeterminism present in the verification. Two different representations of sets are evaluated in scalability with respect to the range of input variables. Explicit (enumerating) sets are very fast for small ranges but fail to scale. Symbolic sets, represented as first-order formulae in the bit-vector theory and compared using satisfiability modulo theory solvers, scale well to arbitrary (though still bounded) range of input variables. Thus the proposed method allows complete automatic verification without the need to limit the nondeterminism of input.

Formal Non-Fragile Stability Verification of Digital Control Systems with Uncertainty

“…Barnat et al [31], [32] present a very promising approach, which uses Simulink diagrams to open up new possibilities towards verification properties beyond the standard stability tests for first-order system. This approach, however, is still under development; there are limitations mainly related to the theorem's proof (Why3).…”