Towards sensitivity analysis of hybrid systems using simulink

  • Authors:
  • Zhi Han;Pieter J. Mosterman

  • Affiliations:
  • MathWorks, Inc., Natick, MA, USA;MathWorks, Inc., Natick, MA, USA

  • Venue:
  • Proceedings of the 16th international conference on Hybrid systems: computation and control
  • Year:
  • 2013

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Abstract

In the design of engineered systems two types of models are used: (i) analysis models and (ii) system models. The system models are primary deliverables between design stages whereas analysis models are employed within a design stage. Sensitivity analysis studies the behavior of the system under small parameter variations which proves to be useful in design. To enable sensitivity analysis in verification of hybrid dynamic systems that model industry-size problems, support for simulation-based methods is desired. The computational semantics for simulation of corresponding analysis models must then be consistent with the computational semantics of the system models. A method is presented that enables direct sensitivity analysis on system models via an implementation in the Simulink(R) software. The approach relies on the existing ordinary differential equation solver of Simulink and the block-by-block analytic Jacobian computation to provide the analytic Jacobian for solving the sensitivity equations. Results of a prototype implementation show that sensitivity analysis can be applied to moderate size Simulink models of continuous and hybrid systems.