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This paper presents a computationally efficient robust model predictive control law for discrete linear time invariant systems subject to additive disturbances that may depend on the state and/or input norms. Despite the dependency being…

最优化与控制 · 数学 2019-08-12 Danylo Malyuta , Behcet Acikmese , Martin Cacan

In this paper we introduce a finite-parameters feedback control algorithm for stabilizing solutions of various classes of damped nonlinear wave equations. Specifically, stabilization the zero steady state solution of initial boundary value…

偏微分方程分析 · 数学 2015-01-06 Varga K. Kalantarov , Edriss S. Titi

Characterizing the express power of the Transformer architecture is critical to understanding its capacity limits and scaling law. Recent works provide the circuit complexity bounds to Transformer-like architecture. On the other hand,…

机器学习 · 计算机科学 2024-12-03 Bo Chen , Xiaoyu Li , Yingyu Liang , Jiangxuan Long , Zhenmei Shi , Zhao Song

From the complex motions of robots to the oxygen binding of hemoglobin, the function of many mechanical systems depends on large, coordinated movements of their components. Such movements arise from a network of physical interactions in the…

软凝聚态物质 · 物理学 2019-06-21 Jason Z. Kim , Zhixin Lu , Danielle S. Bassett

This paper generalizes recent results by the authors on noninvasive model-reference adaptive control designs for control-based continuation of periodic orbits in periodically excited linear systems with matched uncertainties to a larger…

最优化与控制 · 数学 2023-01-02 Yang Li , Harry Dankowicz

Today, linear PID controllers cannot satisfy requirements of high-precision industry due to the development of technology. According to the literature, reset controllers can overcome this important barrier. However, similar to other…

系统与控制 · 电气工程与系统科学 2021-08-26 Ali Ahmadi Dastjerdi , Alessandro Astolfi , S. H. HosseinNia

Modern control systems must operate in increasingly complex environments subject to safety constraints and input limits, and are often implemented in a hierarchical fashion with different controllers running at multiple time scales. Yet…

系统与控制 · 电气工程与系统科学 2022-04-04 Noel Csomay-Shanklin , Andrew J. Taylor , Ugo Rosolia , Aaron D. Ames

This paper is concerned with mismatched disturbance rejection control for the second-order discrete-time systems.Different from previous work, the controllability of the system is applied to design the disturbance compensation gain, which…

最优化与控制 · 数学 2022-05-04 Shichao Lv , Kai Peng , Hongxia Wang , Huanshui Zhang

Koopman linear representations have become a popular tool for control design of nonlinear systems, yet it remains unclear when such representations are exact. In this paper, we establish sufficient and necessary conditions under which a…

最优化与控制 · 数学 2026-02-17 Xu Shang , Masih Haseli , Jorge Cortés , Yang Zheng

Modern nonlinear control theory seeks to endow systems with properties such as stability and safety, and has been deployed successfully across various domains. Despite this success, model uncertainty remains a significant challenge in…

系统与控制 · 电气工程与系统科学 2021-04-02 Andrew J. Taylor , Victor D. Dorobantu , Sarah Dean , Benjamin Recht , Yisong Yue , Aaron D. Ames

Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling…

最优化与控制 · 数学 2023-06-06 Zhen Li , Yang Tang , Yongqing Fan , Tingwen Huang

This paper addresses the problem of optimally controlling nonlinear systems with norm-bounded disturbances and parametric uncertainties while robustly satisfying constraints. The proposed approach jointly optimizes a nominal nonlinear…

系统与控制 · 电气工程与系统科学 2023-09-14 Antoine P. Leeman , Jerome Sieber , Samir Bennani , Melanie N. Zeilinger

Due to the rapid developments in synchronized measurement technologies, there exist enormous opportunities to attenuate disturbances in future power grids with high penetration of renewables and complex load demands. To that end, this paper…

系统与控制 · 电气工程与系统科学 2023-10-03 Muhammad Nadeem , MirSaleh Bahavarnia , Ahmad F. Taha

This paper presents a delay-adaptive boundary control scheme for a $2\times 2$ coupled linear hyperbolic PDE-ODE cascade system with an unknown and arbitrarily long input delay. To construct a nominal delay-compensated control law, assuming…

最优化与控制 · 数学 2023-08-22 Ji Wang , Mamadou Diagne

Battery energy storage boosts up the response speed of power system frequency regulation, but must be recharged carefully to minimize the distortion to the frequency regulation response. This paper proposes a nonlinear feedback controller…

系统与控制 · 电气工程与系统科学 2021-01-14 Wenting Ma , Bolun Xu

The trade-off between the noise-sensitivity and the performance of disturbance estimation is well-known in the Disturbance Observer- (DOb-) based motion control systems. As the bandwidth of the DOb increases, not only the performance but…

系统与控制 · 电气工程与系统科学 2021-01-22 Emre Sariyildiz

Bearing-based distributed formation control is attractive because it can be implemented using vision-based measurements to achieve a desired formation. Gradient-descent-based controllers using bearing measurements have been shown to have…

系统与控制 · 电气工程与系统科学 2022-03-25 Zili Wang , Sean B. Andersson , Roberto Tron

This paper develops an extension of infinite-dimensional backstepping method for parabolic and hyperbolic systems in one spatial dimension with two actuators. Typically, PDE backstepping is applied in 1-D domains with an actuator at one…

最优化与控制 · 数学 2016-03-17 Rafael Vazquez , Miroslav Krstic

The main drawbacks of input-output linearizing controllers are the need for precise dynamics models and not being able to account for input constraints. Model uncertainty is common in almost every robotic application and input saturation is…

系统与控制 · 电气工程与系统科学 2020-05-05 Fernando Castañeda , Mathias Wulfman , Ayush Agrawal , Tyler Westenbroek , Claire J. Tomlin , S. Shankar Sastry , Koushil Sreenath

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

系统与控制 · 电气工程与系统科学 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu