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This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

Robotics · Computer Science 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

This note re-visits the rolling-horizon control approach to the problem of a Markov decision process (MDP) with infinite-horizon discounted expected reward criterion. Distinguished from the classical value-iteration approach, we develop an…

Optimization and Control · Mathematics 2022-06-07 Hyeong Soo Chang

We describe an abstract control-theoretic framework in which the validity of the dynamic programming principle can be established in continuous time by a verification of a small number of structural properties. As an application we treat…

Optimization and Control · Mathematics 2014-03-18 Gordan Zitkovic

Many optimization problems can be naturally represented as (hyper) graphs, where vertices correspond to variables and edges to tasks, whose cost depends on the values of the adjacent variables. Capitalizing on the structure of the graph,…

Logic in Computer Science · Computer Science 2015-04-13 Nicklas Hoch , Ugo Montanari , Matteo Sammartino

In this article, we consider the deterministic impulsively controlled system with infinite horizon and several discounted objective functionals. The constructed optimal control problem with functional constraints is reformulated as a Markov…

Optimization and Control · Mathematics 2026-02-10 A. Piunovskiy

A self-learning optimal control algorithm for episodic fixed-horizon manufacturing processes with time-discrete control actions is proposed and evaluated on a simulated deep drawing process. The control model is built during consecutive…

Systems and Control · Computer Science 2020-01-07 Johannes Dornheim , Norbert Link , Peter Gumbsch

Trajectory optimization considers the problem of deciding how to control a dynamical system to move along a trajectory which minimizes some cost function. Differential Dynamic Programming (DDP) is an optimal control method which utilizes a…

Systems and Control · Computer Science 2017-01-10 David D. Fan , Evangelos A. Theodorou

Safely integrating unmanned aerial vehicles into civil airspace is contingent upon development of a trustworthy collision avoidance system. This paper proposes an approach whereby a parameterized resolution logic that is considered trusted…

Robotics · Computer Science 2016-02-22 Zachary N. Sunberg , Mykel J. Kochenderfer , Marco Pavone

In this paper, we will develop a systematic approach to deriving guaranteed bounds for approximate dynamic programming (ADP) schemes in optimal control problems. Our approach is inspired by our recent results on bounding the performance of…

Optimization and Control · Mathematics 2014-03-31 Yajing Liu , Edwin K. P. Chong , Ali Pezeshki , Bill Moran

This article presents a composite nonlinear feedback (CNF) control method using self-triggered (ST) adaptive dynamic programming (ADP) algorithm in a human-machine shared steering framework. For the overall system dynamics, a…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Chuan Hu , Sicheng Ge , Yingkui Shi , Weinan Gao , Wenfeng Guo , Xi Zhang

This study proposes a method for designing stabilizing suboptimal controllers for nonlinear stochastic systems. These systems include time-invariant stochastic parameters that represent uncertainty of dynamics, posing two key difficulties…

Optimization and Control · Mathematics 2025-01-22 Yuji Ito , Kenji Fujimoto

Dynamic software adaptability is one of the central features leveraged by autonomic computing. However, developing software that changes its behavior at run time adapting to the operational conditions is a challenging task. Several…

Programming Languages · Computer Science 2012-04-02 Guido Salvaneschi , Carlo Ghezzi , Matteo Pradella

We develop a learning-based algorithm for the control of autonomous systems governed by unknown, nonlinear dynamics to satisfy user-specified spatio-temporal tasks expressed as signal temporal logic specifications. Most existing algorithms…

Robotics · Computer Science 2021-10-12 Christos K. Verginis , Zhe Xu , Ufuk Topcu

Model-based reinforcement learning is an effective approach for controlling an unknown system. It is based on a longstanding pipeline familiar to the control community in which one performs experiments on the environment to collect a…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Bruce D. Lee , Ingvar Ziemann , George J. Pappas , Nikolai Matni

Output-Feedback Stochastic Model Predictive Control based on Stochastic Optimal Control for nonlinear systems is computationally intractable because of the need to solve a Finite Horizon Stochastic Optimal Control Problem. However, solving…

Optimization and Control · Mathematics 2020-05-01 Martin A. Sehr , Robert R. Bitmead

This article proposes an improved trajectory optimization approach for stochastic optimal control of dynamical systems affected by measurement noise by combining optimal control with maximum likelihood techniques to improve the reduction of…

Systems and Control · Electrical Eng. & Systems 2023-12-25 Prakash Mallick , Zhiyong Chen

We consider adaptive control problem in presence of nonlinear parametrization of uncertainties in the model. It is shown that despite traditional approaches require for domination in the control loop during adaptation, it is not often…

Optimization and Control · Mathematics 2007-05-23 Ivan Tyukin , Cees van Leeuwen

This paper considers the problem of controlling a dynamical system when the state cannot be directly measured and the control performance metrics are unknown or partially known. In particular, we focus on the design of data-driven…

Optimization and Control · Mathematics 2023-09-01 Liliaokeawawa Cothren , Gianluca Bianchin , Emiliano Dall'Anese

Gradient Descent (GD) is a ubiquitous algorithm for finding the optimal solution to an optimization problem. For reduced computational complexity, the optimal solution $\mathrm{x^*}$ of the optimization problem must be attained in a minimum…

Optimization and Control · Mathematics 2023-06-01 Revati Gunjal , Sushama Wagh , Syed Shadab Nayyer , Alex Stankovic , Navdeep M. Singh

This paper presents an adaptive tracking control method for a class of nonlinearly parameterized MIMO dynamic systems with time-varying delay and unknown nonlinear dead-zone inputs. A new high dimensional integral Lyapunov-Krasovskii…

Systems and Control · Computer Science 2015-06-26 Zhijun Li , Ziting Chen , Jun Fu , Changyin Sun