Koopman Set-Membership Approach
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A Koopman Set-Membership Approach for Nonlinear Data-Driven Control with Stability Guarantees
arXiv:2606.01378v1 Announce Type: new Abstract: This paper proposes a data-driven controller design method for unknown nonlinear systems based on a Koopman bilinear realization. Using Koopman operator theory, the nonlinear system can be represented as a bilinear discrete-time system with a residual error term. The residual error is proportionally bounded by the norm of the lifted state and input, while the system matrices of the bilinear model are unknown.