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We introduce Multi-Environment Markov Decision Processes (MEMDPs) which are MDPs with a set of probabilistic transition functions. The goal in a MEMDP is to synthesize a single controller with guaranteed performances against all…

计算机科学中的逻辑 · 计算机科学 2014-12-04 Jean-François Raskin , Ocan Sankur

Designing control policies for large, distributed systems is challenging, especially in the context of critical, temporal logic based specifications (e.g., safety) that must be met with high probability. Compositional methods for such…

系统与控制 · 电气工程与系统科学 2024-10-08 Krishna C. Kalagarla , Matthew Low , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

Constrained decision-making is essential for designing safe policies in real-world control systems, yet simulated environments often fail to capture real-world adversities. We consider the problem of learning a policy that will maximize the…

机器学习 · 计算机科学 2026-02-10 Sourav Ganguly , Kishan Panaganti , Arnob Ghosh , Adam Wierman

We propose a simple and computationally efficient approach for designing a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertainty is modeled as an additive disturbance and an additive error on the…

系统与控制 · 电气工程与系统科学 2021-03-24 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R. Stürz , Francesco Borrelli

Markov decision process (MDP) is a decision making framework where a decision maker is interested in maximizing the expected discounted value of a stream of rewards received at future stages at various states which are visited according to…

最优化与控制 · 数学 2022-12-19 Hoang Nam Nguyen , Abdel Lisser , Vikas Vikram Singh

Risk-sensitive planning aims to identify policies maximizing some tail-focused metrics in Markov Decision Processes (MDPs). Such an optimization task can be very costly for the most widely used and interpretable metrics such as threshold…

机器学习 · 统计学 2025-07-09 Alexandre Marthe , Samuel Bounan , Aurélien Garivier , Claire Vernade

In cyber-physical systems such as automobiles, measurement data from sensor nodes should be delivered to other consumer nodes such as actuators in a regular fashion. But, in practical systems over unreliable media such as wireless, it is a…

网络与互联网体系结构 · 计算机科学 2015-04-14 Xueying Guo , Rahul Singh , P. R. Kumar , Zhisheng Niu

A robust adaptive model predictive control (MPC) algorithm is presented for linear, time invariant systems with unknown dynamics and subject to bounded measurement noise. The system is characterized by an impulse response model, which is…

系统与控制 · 电气工程与系统科学 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

This paper investigates the optimization problem of an infinite stage discrete time Markov decision process (MDP) with a long-run average metric considering both mean and variance of rewards together. Such performance metric is important…

最优化与控制 · 数学 2020-08-11 Li Xia

Using a novel toy nautical navigation environment, we show that dynamic programming can be used when only incomplete information about a partially observed Markov decision process (POMDP) is known. By incorporating uncertainty into our…

最优化与控制 · 数学 2022-07-20 Chris Beeler , Xinkai Li , Colin Bellinger , Mark Crowley , Maia Fraser , Isaac Tamblyn

We investigate a data-driven approach to constructing uncertainty sets for robust optimization problems, where the uncertain problem parameters are modeled as random variables whose joint probability distribution is not known. Relying only…

最优化与控制 · 数学 2020-09-22 Polina Alexeenko , Eilyan Bitar

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

系统与控制 · 电气工程与系统科学 2021-10-15 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

人工智能 · 计算机科学 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

Markov decision processes (MDPs) are a fundamental model for decision making under uncertainty. They exhibit non-deterministic choice as well as probabilistic uncertainty. Traditionally, verification algorithms assume exact knowledge of the…

人工智能 · 计算机科学 2025-04-18 Tobias Meggendorfer , Maximilian Weininger , Patrick Wienhöft

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

系统与控制 · 电气工程与系统科学 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

We study the common generalization of Markov decision processes (MDPs) with sets of transition probabilities, known as robust MDPs (RMDPs). A standard goal in RMDPs is to compute a policy that maximizes the expected return under an…

人工智能 · 计算机科学 2025-11-20 Alessandro Abate , Thom Badings , Giuseppe De Giacomo , Francesco Fabiano

Model-based reinforcement learning has the potential to be more sample efficient than model-free approaches. However, existing model-based methods are vulnerable to model bias, which leads to poor generalization and asymptotic performance…

机器学习 · 计算机科学 2019-06-27 Tung-Long Vuong , Kenneth Tran

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

最优化与控制 · 数学 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

We provide a comprehensive review and practical implementation of a recently developed model predictive control (MPC) framework for controlling unknown systems using only measured data and no explicit model knowledge. Our approach relies on…

系统与控制 · 电气工程与系统科学 2022-01-03 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Robust reinforcement learning is essential for deploying reinforcement learning algorithms in real-world scenarios where environmental uncertainty predominates. Traditional robust reinforcement learning often depends on rectangularity…

机器学习 · 计算机科学 2024-06-13 Adil Zouitine , David Bertoin , Pierre Clavier , Matthieu Geist , Emmanuel Rachelson