Modeling and sensitivity analysis methodology for hybrid dynamical\n systems

2017/10/11 by Sebastien Corner, Corner, Sebastien, Corina Sandu +3
Decision Sciences · Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Dynamics and Control of Mechanical Systems #FOS: Mathematics #Numerical methods for differential equations #Optimization and Control (math.OC) #Probabilistic and Robust Engineering Design

paper · pdf · doi:10.48550/arxiv.1710.04292

openalex publication_date 2017/10/11 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28

Abstract

This paper provides an analytical methodology to compute the sensitivities\nwith respect to system parameters for any second order hybrid Ordinary\nDifferential Equation (ODE) system. The hybrid ODE system is characterized by\ndiscontinuities in the velocity state variables due to an impulsive jump caused\nby an instantaneous impact in the motion of the system. The analytical\nmethodology that solves this problem is structured based on jumping conditions\nfor both the state variables and the sensitivities matrix. The proposed\nanalytical approach is of the benchmarked against a numerical method.\n

Citations

• Sensitivity analysis of hybrid systems with state jumps with application\n to trajectory tracking

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