6 papers · 1 filter
Stochastic MPC under Heavy-Tailed Disturbances: An Extreme Value Theory Approach
Xiuzhen Ye, Wentao Tang
Safety-critical control systems must contend with disturbances whose extreme deviations occur far more frequently than classical light-tailed models predict. Existing stochastic MP…
Dissipativity Analysis of Nonlinear Systems: A Linear--Radial Kernel-based Approach
Xiuzhen Ye, Wentao Tang
Estimating the dissipativity of nonlinear systems from empirical data is useful for the analysis and control of nonlinear systems, especially when an accurate model is unavailable.…
Koopman-based Estimation of Lyapunov Functions: Theory on a Reproducing Kernel Hilbert Space
Wentao Tang, Xiuzhen Ye
Koopman operator provides a general linear description of nonlinear systems, whose estimation from data (via extended dynamic mode decomposition) has been extensively studied. Howe…
Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel
Wentao Tang, Xiuzhen Ye
Koopman operator, as a fully linear representation of nonlinear dynamical systems, if well-defined on a reproducing kernel Hilbert space (RKHS), can be efficiently learned from dat…
Technical Report for Dissipativity Learning in Reproducing Kernel Hilbert Space
Xiuzhen Ye, Wentao Tang
This work presents a nonparametric framework for dissipativity learning in reproducing kernel Hilbert spaces, which enables data-driven certification of stability and performance p…
EDMD-Based Robust Observer Synthesis for Nonlinear Systems
Xiuzhen Ye, Wentao Tang
This paper presents a data-driven approach for designing state observers for continuous-time nonlinear systems, where an extended dynamic mode decomposition (EDMD) procedure is use…