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This article develops variational integrators for a class of underactuated mechanical systems using the theory of discrete mechanics. Further, a discrete optimal control problem is formulated for the considered class of systems and…

Systems and Control · Computer Science 2018-11-16 Siddharth H. Nair , Ravi N. Banavar

Digital controllers have several advantages with respect to their flexibility and design's simplicity. However, they are subject to problems that are not faced by analog controllers. In particular, these problems are related to the finite…

Systems and Control · Computer Science 2014-03-21 Iury Bessa , Renato Abreu , João Edgar Filho , Lucas Cordeiro

The key challenges in design of predictor-based control laws for switched systems with arbitrary switching and long input delay are the potential unavailability of the future values of the switching signal (at current time) and the fact…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis

This paper presents versions of integral input-to-state stability and integral input-to-integral-state stability for nonlinear sampled-data systems, under the low measurement rate constraint. In particular, we compensate the lack of…

Dynamical Systems · Mathematics 2018-04-24 Navid Noroozi , Seyed Hossein Mousavi , Horacio J. Marquez

This paper addresses the inverse optimal control for the linear quadratic tracking problem with a fixed but unknown target state, which aims to estimate the possible triplets comprising the target state, the state weight matrix, and the…

Systems and Control · Electrical Eng. & Systems 2026-01-14 Yao Li , Chengpu Yu , Hao Fang , Jie Chen

We propose a \textit{guided multi-fidelity Bayesian optimization} framework for data-efficient controller tuning that integrates corrected digital twin simulations with real-world measurements. The method targets closed-loop systems with…

Robotics · Computer Science 2025-10-21 Mahdi Nobar , Jürg Keller , Alessandro Forino , John Lygeros , Alisa Rupenyan

This paper employs correct-by-construction control synthesis, in particular controlled invariant set computations, for falsification. Our hypothesis is that if it is possible to compute a "large enough" controlled invariant set either for…

Systems and Control · Computer Science 2018-11-01 Glen Chou , Yunus E. Sahin , Liren Yang , Kwesi J. Rutledge , Petter Nilsson , Necmiye Ozay

This paper details the implementation of a two stage underactuated control law for a CubeSat to reduce all angular rates to zero. This CubeSat has a diagonal inertia matrix where the principal axes of inertia are not equal. This is needed…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Maxwell Cobar , Carlos Montalvo

The research on sliding mode control strategy is generally based on the robust approach. The larger parameter space consideration will inevitably sacrifice part of the performance. Recently, the data-driven sliding mode control method…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Yaru Yu , Dewei Li , Dongya Zhao , Yugeng Xi

Data-driven and adaptive control approaches face the problem of introducing sudden distributional shifts beyond the distribution of data encountered during learning. Therefore, they are prone to invalidating the very assumptions used in…

Systems and Control · Electrical Eng. & Systems 2025-08-25 Mohammad Ramadan , Evan Toler , Mihai Anitescu

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

Control charts, as had been used traditionally for quality monitoring, were applied alternatively to monitor systems' reliability. In other words, they can be applied to detect changes in the failure behavior of systems. Such purpose…

Applications · Statistics 2022-10-04 Khaled Janada , Hassan Soltan , Mohamed-Sobeih Hussein , Ahmad Abdel-Shafi

We consider the optimal control problem of minimizing some quadratic functional over all possible solutions of an internally controlled multi-dimensional heat equation with a periodic terminal state constraint. This problem has a unique…

Optimization and Control · Mathematics 2015-09-22 Emmanuel Trélat , Lijuan Wang , Yubiao Zhang

For linear infinite systems the approximate controllability problem by control constraints is considered. Controllability conditions represented via system parameters are obtained. Partial differential control systems and control systems…

solv-int · Physics 2008-02-03 B. Shklyar

Symmetries of nonlinear control systems in state representation are considered. To this end, a geometric approach to ordinary differential equations is advocated. Invariant feedback laws for systems with Lie symmetries, i.e. feedback laws…

Optimization and Control · Mathematics 2012-06-22 Carsten Collon , Joachim Rudolph

This article considers output-feedback control of systems where the function mapping states to measurements has a set-valued inverse. We show that if the set has a bounded number of elements, then minimax dual control of such systems admits…

Optimization and Control · Mathematics 2024-05-17 Olle Kjellqvist

We present an extension of Willems' Fundamental Lemma to the class of multi-input multi-output discrete-time feedback linearizable nonlinear systems, thus providing a data-based representation of their input-output trajectories. Two sources…

Optimization and Control · Mathematics 2023-03-17 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

This work investigates the cooperative output regulation problem of linear multi-agent systems with hybrid sampled data control. Due to the limited data sensing and communication, in many practical situations, only sampled data are…

Systems and Control · Computer Science 2016-04-20 Chao Yang , Zhi-Hong Guan , Ming Chi , Gui-Lin Zheng

We consider output tracking and disturbance rejection for abstract infinite-dimensional systems with input saturation. We solve the control problem using a control law which consists of a stabilising error feedback term and a feedforward…

Optimization and Control · Mathematics 2025-06-23 Thavamani Govindaraj , Lassi Paunonen

A new class of control problems is discussed - homeostasis control. Homeostasis control problems can be considered as control problems with a given target set, in particular, as a problem of stabilizing the values of some target function,…

Optimization and Control · Mathematics 2023-11-28 Alexander Fradkov