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20202026
most citedA Lyapunov function for robust stability of moving horizon estimation

43 citations · 100 across the 16 of their papers we have counts for

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13 papers · 1 filter

eess.SY2026

Turnpike properties in nonlinear system identification

Julian D. Schiller, Matthias A. Müller

We analyze the problem of learning general discrete-time nonlinear state-space models using the simulation error minimization (SEM) method. In this setting, model parameters are ty…

eess.SY2026

Small-gain analysis of exponential incremental input/output-to-state stability for large-scale distributed systems

Christian Gatke, Julian D. Schiller, Matthias A. Müller

We provide a detectability analysis for nonlinear large-scale distributed systems in the sense of exponential incremental input/output-to-state stability (i-IOSS). In particular, w…

eess.SY2025

Sufficient Conditions for Detectability of Approximately Discretized Nonlinear Systems

Seth Siriya, Julian D. Schiller, Victor G. Lopez +1

In many sampled-data applications, observers are designed based on approximately discretized models of continuous-time systems, where usually only the discretized system is analyze…

eess.SY2024

Event-triggered moving horizon estimation for nonlinear systems

Isabelle Krauss, Julian D. Schiller, Victor G. Lopez +1

This work proposes an event-triggered moving horizon estimation (ET-MHE) scheme for general nonlinear systems. The key components of the proposed scheme are a novel event-triggerin…

eess.SY2024★ 3 cited

Moving horizon estimation for nonlinear systems with time-varying parameters

Julian D. Schiller, Matthias A. Müller

We propose a moving horizon estimation scheme for estimating the states and time-varying parameters of nonlinear systems. We consider the case where observability of the parameters…

eess.SY2023★ 4 cited

Nonlinear moving horizon estimation for robust state and parameter estimation -- extended version

Julian D. Schiller, Matthias A. Müller

We propose a moving horizon estimation scheme to estimate the states and the unknown constant parameters of general nonlinear uncertain discrete-time systems. The proposed framewor…

eess.SY2023★ 2 cited

On an integral variant of incremental input/output-to-state stability and its use as a notion of nonlinear detectability

Julian D. Schiller, Matthias A. Müller

We propose a time-discounted integral variant of incremental input/output-to-state stability (i-iIOSS) together with an equivalent Lyapunov function characterization. Continuity of…

eess.SY2023★ 2 cited

Robust stability of moving horizon estimation for continuous-time systems

Julian D. Schiller, Matthias A. Müller

We consider a moving horizon estimation (MHE) scheme involving a discounted least squares objective for general nonlinear continuous-time systems. Provided that the system is detec…

eess.SY2022★ 7 cited

A moving horizon state and parameter estimation scheme with guaranteed robust convergence

Julian D. Schiller, Matthias A. Müller

We propose a moving horizon estimation scheme for joint state and parameter estimation for nonlinear uncertain discrete-time systems. We establish robust exponential convergence of…

eess.SY2022★ 3 cited

A simple suboptimal moving horizon estimation scheme with guaranteed robust stability

Julian D. Schiller, Boyang Wu, Matthias A. Müller

We propose a suboptimal moving horizon estimation (MHE) scheme for a general class of nonlinear systems. To this end, we consider an MHE formulation that optimizes over the traject…

eess.SY2022★ 43 cited

A Lyapunov function for robust stability of moving horizon estimation

Julian D. Schiller, Simon Muntwiler, Johannes Köhler +2

We provide a novel robust stability analysis for moving horizon estimation (MHE) using a Lyapunov function. Additionally, we introduce linear matrix inequalities (LMIs) to verify t…

eess.SY2021★ 23 cited

Suboptimal nonlinear moving horizon estimation

Julian D. Schiller, Matthias A. Müller

In this paper, we propose a suboptimal moving horizon estimator for a general class of nonlinear systems. For the stability analysis, we transfer the "feasibility-implies-stability…

eess.SY2020★ 13 cited

Robust Stability of Suboptimal Moving Horizon Estimation using an Observer-Based Candidate Solution

Julian D. Schiller, Sven Knüfer, Matthias A. Müller

In this paper, we propose a suboptimal moving horizon estimator for nonlinear systems. For the stability analysis we transfer the "feasibility-implies-stability/robustness" paradig…