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20242026
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math.OC2026

Adaptive Robust Control for Uncertain Systems with Ellipsoid-Set Learning

Xuehui Ma, Shiliang Zhang, Zhiyong Sun +2

Despite the celebrated success of stochastic control approaches for uncertain systems, such approaches are limited in the ability to handle non-Gaussian uncertainties. This work pr…

math.OC2025

Linear quadratic control for discrete-time systems with stochastic and bounded noises

Xuehui Ma, Shiliang Zhang, Xiaohui Zhang +2

This paper focuses on the linear quadratic control (LQC) design of systems corrupted by both stochastic noise and bounded noise simultaneously. When only of these noises are consid…

math.OC2025

Fine-tuning for Data-enabled Predictive Control of Noisy Systems by Reinforcement Learning

Jinbao Wang, Shiliang Zhang, Jun Liu +2

Data-enabled predictive control (DeePC) leverages system measurements in characterizing system dynamics for optimal control. The performance of DeePC relies on optimizing its hyper…

math.OC2025

Ensemble Control for Stochastic Systems with Asymmetric Laplace Noises

Yajie Yu, Xuehui Ma, Shiliang Zhang +4

This paper presents an adaptive ensemble control for stochastic systems subject to asymmetric noises and outliers. Asymmetric noises skew system observations, and outliers with lar…

math.OC2024

Active learning for anti-disturbance dual control of unknown nonlinear systems

Xuehui Ma, Shiliang Zhang, Fucai Qian +2

This work concerns the control of unknown nonlinear systems corrupted by disturbances. For such systems, we propose an anti-disturbance dual control approach with active learning o…