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This paper studies the problem of developing computationally efficient solutions for steering the distribution of the state of a stochastic, linear dynamical system between two boundary Gaussian distributions in the presence of…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Joshua Pilipovsky , Panagiotis Tsiotras

This paper studies the problem of distributionally robust model predictive control (MPC) using total variation distance ambiguity sets. For a discrete-time linear system with additive disturbances, we provide a conditional value-at-risk…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick

Many systems such as autonomous vehicles and quadrotors are subject to parametric uncertainties and external disturbances. These uncertainties can lead to undesired performance degradation and safety issues. Therefore, it is important to…

Systems and Control · Electrical Eng. & Systems 2019-10-09 Huishan Chen , Zheng Zhang

Current research on robust trajectory planning for autonomous agents aims to mitigate uncertainties arising from disturbances and modeling errors while ensuring guaranteed safety. Existing methods primarily utilize stochastic optimal…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Christian Vitale , Savvas Papaioannou , Panayiotis Kolios , Georgios Ellinas

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

Optimization and Control · Mathematics 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

We present a method for providing statistical guarantees on runtime safety and goal reachability for integrated planning and control of a class of systems with unknown nonlinear stochastic underactuated dynamics. Specifically, given a…

Robotics · Computer Science 2022-12-15 Craig Knuth , Glen Chou , Jamie Reese , Joe Moore

The entropy regularization is inspired by information entropy from machine learning and the ideas of exploration and exploitation in reinforcement learning, which appears in the control problem to design an approximating algorithm for the…

Optimization and Control · Mathematics 2024-11-21 Ziyue Chen , Qi Zhang

Choosing control inputs randomly can result in a reduced expected cost in optimal control problems with stochastic constraints, such as stochastic model predictive control (SMPC). We consider a controller with initial randomization, meaning…

Robotics · Computer Science 2016-07-07 Masahiro Ono , Mahmoud El Chamie , Marco Pavone , Behcet Acikmese

The scenario approach is widely used in robust control system design and chance-constrained optimization, maintaining convexity without requiring assumptions about the probability distribution of uncertain parameters. However, the approach…

Optimization and Control · Mathematics 2024-12-10 Jaeseok Choi , Anand Deo , Constantino Lagoa , Anirudh Subramanyam

In this paper, we propose a distributionally robust control synthesis for an agent with stochastic dynamics that interacts with other agents under uncertainties and constraints expressed by signal temporal logic (STL). We formulate the…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Arash Bahari Kordabad , Eleftherios E. Vlahakis , Lars Lindemann , Sebastien Gros , Dimos V. Dimarogonas , Sadegh Soudjani

We establish a linear programming formulation for the solution of joint chance constrained optimal control problems over finite time horizons. The joint chance constraint may represent an invariance, reachability or reach-avoid…

Optimization and Control · Mathematics 2024-05-21 Niklas Schmid , Marta Fochesato , Tobias Sutter , John Lygeros

The paper considers constrained linear systems with stochastic additive disturbances and noisy measurements transmitted over a lossy communication channel. We propose a model predictive control (MPC) law that minimizes a discounted cost…

Optimization and Control · Mathematics 2020-05-08 Shuhao Yan , Mark Cannon , Paul Goulart

We introduce a new method for solving nonlinear continuous optimization problems with chance constraints. Our method is based on a reformulation of the probabilistic constraint as a quantile function. The quantile function is approximated…

Optimization and Control · Mathematics 2020-03-17 Alejandra Peña-Ordieres , James R. Luedtke , Andreas Wächter

In this paper, closed-loop entry guidance in a randomly perturbed atmosphere, using bank angle control, is posed as a stochastic optimal control problem. The entry trajectory, as well as the closed-loop controls, are both modeled as random…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Jack Ridderhof , Panagiotis Tsiotras , Breanna J. Johnson

Chance-constrained programming (CCP) is one of the most difficult classes of optimization problems that has attracted the attention of researchers since the 1950s. In this survey, we focus on cases when only a limited information on the…

Optimization and Control · Mathematics 2022-02-15 Simge Küçükyavuz , Ruiwei Jiang

Chance constrained program is computationally intractable due to the existence of chance constraints, which are randomly disturbed and should be satisfied with a probability. This paper proposes a two-layer randomized algorithm to address…

Optimization and Control · Mathematics 2019-11-11 Xun Shen , Jiancang Zhuang , Xingguo Zhang

We study the problem of finite-time constrained optimal control of unknown stochastic linear time-invariant systems, which is the key ingredient of a predictive control algorithm -- albeit typically having access to a model. We propose a…

Optimization and Control · Mathematics 2021-07-22 Jeremy Coulson , John Lygeros , Florian Dörfler

Planning and control for uncertain contact systems is challenging as it is not clear how to propagate uncertainty for planning. Contact-rich tasks can be modeled efficiently using complementarity constraints among other techniques. In this…

Robotics · Computer Science 2023-12-12 Yuki Shirai , Devesh K. Jha , Arvind U. Raghunathan

This paper studies a data-driven predictive control for a class of control-affine systems which is subject to uncertainty. With the accessibility to finite sample measurements of the uncertain variables, we aim to find controls which are…

Optimization and Control · Mathematics 2021-05-03 Dan Li , Dariush Fooladivanda , Sonia Martinez

To model combinatorial decision problems involving uncertainty and probability, we introduce stochastic constraint programming. Stochastic constraint programs contain both decision variables (which we can set) and stochastic variables…

Artificial Intelligence · Computer Science 2009-03-09 Toby Walsh
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