8 papers
Koopman Observability of Nonlinear Systems and Data-Driven Koopman--Luenberger Observer
Wentao Tang
While nonlinear systems can be generally described as infinite-dimensional linear systems via their Koopman semigroups, the direct synthesis of state observers on the premise of le…
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…
Data-Driven Domain of Attraction Estimation via Convergent Koopman-Zubov Approximation
Wentao Tang
The computation of a domain of attraction (DOA) around an equilibrium point is a key issue in nonlinear stability analysis, which boils down to the difficult problem of searching f…
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 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…
Process Resilience under Optimal Data Injection Attacks
Xiuzhen Ye, Wentao Tang
In this paper, we study the resilience of process systems in an {\it information-theoretic framework}, from the perspective of an attacker capable of optimally constructing data in…