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We propose a new method for controlled system synthesis on non-deterministic automata, which includes the synthesis for deadlock-freeness, as well as invariant and reachability expressions. Our technique restricts the behavior of a…

Formal Languages and Automata Theory · Computer Science 2014-08-15 Allan van Hulst , Michel Reniers , Wan Fokkink

We present a bounded model checking algorithm for signal temporal logic (STL) that exploits mixed-integer linear programming (MILP). A key technical element is our novel MILP encoding of the STL semantics; it follows the idea of stable…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Sota Sato , Jie An , Zhenya Zhang , Ichiro Hasuo

Numerous real-world decision-making problems can be formulated and solved using Mixed-Integer Linear Programming (MILP) models. However, the transformation of these problems into MILP models heavily relies on expertise in operations…

Optimization and Control · Mathematics 2023-11-28 Qingyang Li , Lele Zhang , Vicky Mak-Hau

A challenging problem for autonomous systems is to synthesize a reactive controller that conforms to a set of given correctness properties. Linear temporal logic (LTL) provides a formal language to specify the desired behavioral properties…

Formal Languages and Automata Theory · Computer Science 2019-10-08 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

Coordinating heterogeneous robot teams from free-form natural-language instructions is hard. Language-only planners struggle with long-horizon coordination and hallucination, while purely formal methods require closed-world models. We…

Given a Markov decision process (MDP) and a linear-time ($\omega$-regular or LTL) specification, the controller synthesis problem aims to compute the optimal policy that satisfies the specification. More recently, problems that reason over…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Alvaro Velasquez , Ismail Alkhouri , Andre Beckus , Ashutosh Trivedi , George Atia

Motivated by the need of quick job (re-)scheduling, we examine an elaborate scheduling environment under the objective of total weighted tardiness minimization. The examined problem variant moves well beyond existing literature, as it…

Optimization and Control · Mathematics 2023-07-14 Ioannis Avgerinos , Ioannis Mourtos , Stavros Vatikiotis , Georgios Zois

We propose a human-supervised control synthesis method for a stochastic Dubins vehicle such that the probability of satisfying a specification given as a formula in a fragment of Probabilistic Computational Tree Logic (PCTL) over a set of…

Robotics · Computer Science 2013-07-12 Igor Cizelj , Calin Belta

We consider the feedback design for stabilizing a rigid body system by making and breaking multiple contacts with the environment without prespecifying the timing or the number of occurrence of the contacts. We model such a system as a…

Systems and Control · Computer Science 2019-05-16 Weiqiao Han , Russ Tedrake

This article presents the first mixed-integer linear programming (MILP)-based iterative algorithm to solve factorable mixed-integer nonlinear programs (MINLPs) with bounded, differentiable periodic functions to global optimality with an…

Optimization and Control · Mathematics 2025-10-01 Christopher Montez , Sujeevraja Sanjeevi , Kaarthik Sundar

Motion planning of an autonomous system with high-level specifications has wide applications. However, research of formal languages involving timed temporal logic is still under investigation. Furthermore, many existing results rely on a…

Robotics · Computer Science 2022-02-15 Zhiliang Li , Mingyu Cai , Shaoping Xiao , Zhen Kan

This paper addresses the challenge of planning a sequence of tasks to be performed by multiple robots while minimizing the overall completion time subject to timing and precedence constraints. Our approach uses the Timed Partial Orders…

In this paper we solve mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This work is motivated by the MILPs being able to model problems in multi-agent autonomy, such as task assignment problems…

Optimization and Control · Mathematics 2024-10-16 Luke Fina , Christopher Petersen , Matthew Hale

The growing deployment of human-robot collaborative processes in several industrial applications, such as handling, welding, and assembly, unfolds the pursuit of systems which are able to manage large heterogeneous teams and, at the same…

Robotics · Computer Science 2023-09-26 Edoardo Lamon , Fabio Fusaro , Elena De Momi , Arash Ajoudani

We consider integer-restricted optimal control of systems governed by abstract semilinear evolution equations. This includes the problem of optimal control design for certain distributed parameter systems endowed with multiple actuators,…

Optimization and Control · Mathematics 2013-04-23 Falk M. Hante , Sebastian Sager

We study the temporal robustness of temporal logic specifications and show how to design temporally robust control laws for time-critical control systems. This topic is of particular interest in connected systems and interleaving processes…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Alëna Rodionova , Lars Lindemann , Manfred Morari , George J. Pappas

We consider the synthesis of control policies from temporal logic specifications for robots that interact with multiple dynamic environment agents. Each environment agent is modeled by a Markov chain whereas the robot is modeled by a finite…

Robotics · Computer Science 2012-03-07 Tichakorn Wongpiromsarn , Alphan Ulusoy , Calin Belta , Emilio Frazzoli , Daniela Rus

This paper presents a fully automated procedure for controller synthesis for a general class of multi-agent systems under coupling constraints. Each agent is modeled with dynamics consisting of two terms: the first one models the coupling…

Systems and Control · Computer Science 2017-03-28 Alexandros Nikou , Shahab Heshmati-alamdari , Christos Verginis , Dimos V. Dimarogonas

This paper studies motion planning of a mobile robot under uncertainty. The control objective is to synthesize a {finite-memory} control policy, such that a high-level task specified as a Linear Temporal Logic (LTL) formula is satisfied…

Robotics · Computer Science 2017-10-24 Meng Guo , Michael M. Zavlanos

In time-critical systems, such as air traffic control systems, it is crucial to design control policies that are robust to timing uncertainty. Recently, the notion of Asynchronous Temporal Robustness (ATR) was proposed to capture the…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Xinyi Yu , Xiang Yin , Lars Lindemann