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This article considers the stochastic optimal control of discrete-time linear systems subject to (possibly) unbounded stochastic disturbances, hard constraints on the manipulated variables, and joint chance constraints on the states. A…

Optimization and Control · Mathematics 2017-06-23 Joel A. Paulson , Edward A. Buehler , Richard D. Braatz , Ali Mesbah

Compliant robotics have seen successful applications in energy efficient locomotion and cyclic manipulation. However, exploitation of variable physical impedance for energy efficient sequential movements has not been extensively addressed.…

Robotics · Computer Science 2020-10-21 Fan Wu , Matthew Howard

Load side participation can provide support to the power network by appropriately adapting the demand when required. In addition, it enables an economically improved power allocation. In this study, we consider the problem of providing an…

Optimization and Control · Mathematics 2021-05-10 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

Switched systems in which the manipulated control action is the time-depending switching signal describe many engineering problems, mainly related to biomedical applications. In such a context, to control the system means to select an…

We propose a Stochastic MPC (SMPC) approach for autonomous driving which incorporates multi-modal, interaction-aware predictions of surrounding vehicles. For each mode, vehicle motion predictions are obtained by a control model described…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Siddharth H. Nair , Vijay Govindarajan , Theresa Lin , Yan Wang , Eric H. Tseng , Francesco Borrelli

Controlling complex dynamical systems has been a topic of considerable interest in academic circles in recent decades. While existing works have primarily focused on closed-loop control schemes with infinite-time durations, this paper…

Optimization and Control · Mathematics 2025-01-08 Xiaoxiao Peng , Shijie Zhou

We consider optimal control problems for partial differential equations where the controls take binary values but vary over the time horizon, they can thus be seen as dynamic switches. The switching patterns may be subject to combinatorial…

Optimization and Control · Mathematics 2024-04-04 Christoph Buchheim , Alexandra Grütering , Christian Meyer

In this article, the optimal control problem for a harmonic oscillator with an inequality constraint is considered. The applied energy of the oscillator during a fixed final time period is used as the performance criterion. The analytical…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Mi Zhou , Erik I Verriest , Chaouki Abdallah

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

Optimization and Control · Mathematics 2016-05-04 Ashkan Jasour , Constantino Lagoa

This paper focuses on finding approximate solutions to stochastic optimal control problems with control domains being not necessarily convex, where the state trajectory is subject to controlled stochastic differential equations. The…

Optimization and Control · Mathematics 2025-07-15 Shaolin Ji , Rundong Xu

The rapid development and expansion of the EV market marked by the advent of third decade of the 21st century has improved the possibility of a sustainable automotive future. The present EV drivetrain run by BLDC motor has become…

Systems and Control · Electrical Eng. & Systems 2024-10-16 Gourab Das , Dibakar Das , Md Arif , Biplab Satpati

This paper proposes an automatic tuning algorithm for a sliding mode controller (SMC) based on the Ackermann's formula, that attenuates the structural vibrations of a seismically excited building equipped with an Active Tuned Mass Damper…

Systems and Control · Electrical Eng. & Systems 2021-02-09 Antonio Concha , Suresh Thenozhi , Ramón O. Jiménez-Betancourt , S. K. Gadi

This paper presents a method for optimizing the sliding mode control (SMC) parameter for a robot manipulator applying a genetic algorithm (GA). The objective of the SMC is to achieve precise and consistent tracking of the trajectory of the…

Robotics · Computer Science 2025-08-07 Vu Ngoc Son , Pham Van Cuong , Dao Thi My Linh , Le Tieu Nien

We consider optimal control problems for partial differential equations where the controls take binary values but vary over the time horizon, they can thus be seen as dynamic switches. The switching patterns may be subject to combinatorial…

Optimization and Control · Mathematics 2024-04-04 Christoph Buchheim , Alexandra Grütering , Christian Meyer

The Grid-Forming Inverter (GFMI) is an emerging topic that is attracting significant attention from both academic and industrial communities, particularly in the area of control design. The Decoupled Average Model-based Sliding Mode Current…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Quang-Manh Hoang , Guilherme Vieira Hollweg , Akhtar Hussain , Sina Zarrabian , Wencong Su , Van-Hai Bui

Sample average approximation--based stochastic dynamic programming (SDP) and model predictive control (MPC) are two different methods for approaching multistage stochastic optimization. In this paper we investigate the conditions under…

Optimization and Control · Mathematics 2026-02-10 Dominic S. T. Keehan , Andrew B. Philpott , Edward J. Anderson

This paper study the parameter selection of predefined-time sliding mode and try to design a general nonsingular predefined-time terminal sliding mode. 1). On parameter selection: Some existing predefined-time sliding modes are designed to…

Optimization and Control · Mathematics 2020-10-07 Wen Yan

Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an…

Statistical Mechanics · Physics 2024-09-18 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

Ultrasonic motors (USMs) are commonly used in aerospace, robotics, and medical devices, where fast and precise motion is needed. Remarkably, sliding mode controller (SMC) is an effective controller to achieve precision motion control of the…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Xiaolong Chen , Wenyu Liang , Han Zhao , Abdullah Al Mamun

Based on the stochastic maximum principle for the partially coupled forward-backward stochastic control system (FBSCS for short), a modified method of successive approximations (MSA for short) is established for stochastic recursive optimal…

Optimization and Control · Mathematics 2022-01-11 Shaolin Ji , Rundong Xu
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