TY - GEN
T1 - A Multi-Parametric Method for Active Model Discrimination of Nonlinear Systems with Temporal Logic-Constrained Switching
AU - Niu, Ruochen
AU - Hassaan, Syed M.
AU - Yong, Sze Zheng
N1 - Publisher Copyright:
© 2022 American Automatic Control Council.
PY - 2022
Y1 - 2022
N2 - In this paper, we consider the optimal input design problem for active model discrimination (AMD) among a set of switched nonlinear models that are constrained by metric/signal temporal logic specifications and affected by uncontrolled inputs and noise. To deal with nonlinear and non-convex constraints in the resulting bilevel optimization problem, we first over-approximate the nonlinear dynamics using piecewise affine abstractions. Then, we solve the relaxed inner problem of the bilevel AMD problem as parametric optimization problems and substitute the parametric solutions into the outer problem to obtain sufficient separating inputs for AMD. Moreover, since the parametric optimization problems are often computationally demanding, we propose several strategies to reduce the computational time, while preserving feasibility of the separating inputs for AMD. Finally, we demonstrate the effectiveness of our approach on several illustrative examples on fault detection and lane changing scenario.
AB - In this paper, we consider the optimal input design problem for active model discrimination (AMD) among a set of switched nonlinear models that are constrained by metric/signal temporal logic specifications and affected by uncontrolled inputs and noise. To deal with nonlinear and non-convex constraints in the resulting bilevel optimization problem, we first over-approximate the nonlinear dynamics using piecewise affine abstractions. Then, we solve the relaxed inner problem of the bilevel AMD problem as parametric optimization problems and substitute the parametric solutions into the outer problem to obtain sufficient separating inputs for AMD. Moreover, since the parametric optimization problems are often computationally demanding, we propose several strategies to reduce the computational time, while preserving feasibility of the separating inputs for AMD. Finally, we demonstrate the effectiveness of our approach on several illustrative examples on fault detection and lane changing scenario.
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U2 - 10.23919/ACC53348.2022.9867867
DO - 10.23919/ACC53348.2022.9867867
M3 - Conference contribution
AN - SCOPUS:85138494645
T3 - Proceedings of the American Control Conference
SP - 1652
EP - 1658
BT - 2022 American Control Conference, ACC 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2022 American Control Conference, ACC 2022
Y2 - 8 June 2022 through 10 June 2022
ER -