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Recent work by Mania et al. has proved that certainty equivalent control achieves nearly optimal regret for linear systems with quadratic costs. However, when parameter uncertainty is large, certainty equivalence cannot be relied upon to…

Optimization and Control · Mathematics 2020-01-01 Jack Umenberger , Thomas B. Schon

This work addresses the coordination problem of multiple robots with the goal of finding specific hazardous targets in an unknown area and dealing with them cooperatively. The desired behaviour for the robotic system entails multiple…

Robotics · Computer Science 2019-03-29 Nunzia Palmieri , Xin-She Yang , Floriano De Rango , Amilcare Francesco Santamaria

This paper considers the optimal control for hybrid systems whose trajectories transition between distinct subsystems when state-dependent constraints are satisfied. Though this class of systems is useful while modeling a variety of…

Optimization and Control · Mathematics 2018-03-21 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

Systems for which the backstepping technique cannot be applied are considered. A criterion for the design of a hybrid feedback law is proposed by blending a local stabilizer with a backstepping controller. This hybrid feedback law renders…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

Typically, it is desirable to design a control system that is not only robustly stable in the presence of parametric uncertainties but also guarantees an adequate level of system performance. However, most of the existing methods need to…

Optimization and Control · Mathematics 2020-08-25 Jun Ma , Haiyue Zhu , Masayoshi Tomizuka , Tong Heng Lee

The frequency-domain data of a multivariable system in different operating points is used to design a robust controller with respect to the measurement noise and multimodel uncertainty. The controller is fully parametrized in terms of…

Optimization and Control · Mathematics 2017-08-10 Alireza Karimi , Christoph Kammer

Combining efficient and safe control for safety-critical systems is challenging. Robust methods may be overly conservative, whereas probabilistic controllers require a trade-off between efficiency and safety. In this work, we propose a…

Systems and Control · Electrical Eng. & Systems 2022-09-16 Tim Brüdigam , Robert Jacumet , Dirk Wollherr , Marion Leibold

Time distributed optimization is an implementation strategy that can significantly reduce the computational burden of model predictive control by exploiting its robustness to incomplete optimization. When using this strategy, optimization…

Optimization and Control · Mathematics 2020-04-14 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear…

Systems and Control · Computer Science 2017-03-02 Masashi Wakaiki , Kunihisa Okano , Joao P. Hespanha

This paper studies the well-posedness and regularity of safe stabilizing optimization-based controllers for control-affine systems in the presence of model uncertainty. When the system dynamics contain unknown parameters, a finite set of…

Optimization and Control · Mathematics 2024-01-01 Pol Mestres , Kehan Long , Nikolay Atanasov , Jorge Cortés

This paper introduces a novel solution to the manual control challenge for indoor blimps. The problem's complexity arises from the conflicting demands of executing human commands while maintaining stability through automatic control for…

Robotics · Computer Science 2024-09-17 Wugang Meng , Tianfu Wu , Qiuyang Tao , Fumin Zhang

We present a novel methodology for designing output-feedback backstepping boundary controllers for an unstable 1-D diffusion-reaction partial differential equation with spatially-varying reaction. Using "folding" transforms the parabolic…

Optimization and Control · Mathematics 2019-08-23 Stephen Chen , Rafael Vazquez , Miroslav Krstic

We consider output-feedback stabilization problems for a class of two-component linear parabolic systems with boundary actuation and measurement. The state-feedback control laws are obtained using backstepping method and require measurement…

Analysis of PDEs · Mathematics 2016-12-13 Agus Hasan

Robust imitation learning seeks to mimic expert controller behavior while ensuring stability, but current methods require accurate plant models. Here, robust imitation learning is addressed for stabilizing poorly modeled plants with linear…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Amy K. Strong , Ethan J. LoCicero , Leila Bridgeman

Soft robots have been leveraged in considerable areas like surgery, rehabilitation, and bionics due to their softness, flexibility, and safety. However, it is challenging to produce two same soft robots even with the same mold and…

Robotics · Computer Science 2025-07-18 Zixi Chen , Xuyang Ren , Matteo Bernabei , Vanessa Mainardi , Gastone Ciuti , Cesare Stefanini

We establish a separation principle for the output feedback stabilisation of state-affine systems that are observable at the stabilization target. Relying on control templates (recently introduced in [4]), that allow to approximate a…

Optimization and Control · Mathematics 2024-11-15 Ludovic Sacchelli , Lucas Brivadis , Ulysse Serres , Itaï Ben Yaacov

Hybrid systems are prevalent in robotics. However, ensuring the stability of hybrid systems is challenging due to sophisticated continuous and discrete dynamics. A system with all its system modes stable can still be unstable. Hence special…

Robotics · Computer Science 2023-03-21 Yue Meng , Chuchu Fan

We consider the problem of output feedback regulationfor a linear first-order hyperbolic system with collocatedinput and output in presence of a general class of disturbancesand noise. The proposed control law is designed through…

Analysis of PDEs · Mathematics 2017-10-20 Pierre-Olivier Lamare , Jean Auriol , Florent Di Meglio , Ulf Jakob F. Aarsnes

This note proposes a data-driven output-feedback stabilizing policy iteration for unknown linear discrete-time systems with unmeasurable states. Existing policy iteration methods for optimal control must start from a stabilizing control…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Dongdong Li , Jiuxiang Dong

Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied to prove that under some conditions…

Chaotic Dynamics · Physics 2009-09-30 Jianping Cai , Zhengzhong Yuan
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