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We propose a convex controller synthesis framework for a large class of constrained linear systems, including those described by (deterministic and stochastic) partial differential equations and integral equations, commonly used in fluid…

Optimization and Control · Mathematics 2025-06-24 Lauren Conger , Antoine P. Leeman , Franca Hoffmann

This paper investigates the synthesis of controllers for displacement-based formation control in the presence of bounded disturbances, specifically focusing on uncertainties originating from measurement noise. While the literature…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Vlad-Matei Angheluţă , Bogdan Gheorghe , Daniel Ioan , Ionela Prodan , Florin Stoican

Designing controllers with provable formal guarantees has become an urgent requirement for cyber-physical systems in safety-critical scenarios. Beyond addressing scalability in high-dimensional implementations, controller synthesis…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Jianqiang Ding , Dingran Yuan , Shankar A. Deka

In many synthesis problems, it can be essential to generate implementations which not only satisfy functional constraints but are also randomized to improve variety, robustness, or unpredictability. The recently-proposed framework of…

Logic in Computer Science · Computer Science 2022-06-07 Andreas Gittis , Eric Vin , Daniel J. Fremont

This paper tackles the problem of generating safe exit controllers for continuous-time systems described by stochastic differential equations (SDEs). The primary aim is to develop controllers that maximize the lower bounds of the exit…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Bai Xue

This paper develops a novel control synthesis method for safe stabilization of control-affine systems as a Differential Complementarity Problem (DCP). Our design uses a control Lyapunov function (CLF) and a control barrier function (CBF) to…

Optimization and Control · Mathematics 2023-01-04 Yinzhuang Yi , Shumon Koga , Bogdan Gavrea , Nikolay Atanasov

Synthesizing controllers directly from frequency-domain measurement data is a powerful tool in the linear time-invariant framework. Ever-increasing performance requirements necessitate extending these approaches to account for plant…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Tom Bloemers , Roland Tóth , Tom Oomen

We consider a compositional construction of approximate abstractions of interconnected control systems. In our framework, an abstraction acts as a substitute in the controller design process and is itself a continuous control system. The…

Optimization and Control · Mathematics 2018-01-03 Matthias Rungger , Majid Zamani

This paper presents a safe controller synthesis of discrete-time stochastic systems using Control Barrier Functions (CBFs). The proposed condition allows the design of a safe controller synthesis that ensures system safety while avoiding…

Systems and Control · Electrical Eng. & Systems 2025-01-17 Sotaro Fushimi , Kenta Hoshino , Yuki Nishimura

This paper addresses the problem of finite horizon constrained robust optimal control for nonlinear systems subject to norm-bounded disturbances. To this end, the underlying uncertain nonlinear system is decomposed based on a first-order…

Optimization and Control · Mathematics 2025-08-01 Antoine P. Leeman , Johannes Köhler , Andrea Zanelli , Samir Bennani , Melanie N. Zeilinger

To address deviations from expected performance in stochastic systems, we propose a risk-sensitive control synthesis method to minimize certain risk measures over the limiting stationary distribution. Specifically, we extend Worst-case…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Yang Hu , Shahriar Talebi , Na Li

This paper aims at the safety-critical control synthesis of network systems such that the satisfaction of the safety constraints can be guaranteed. To handle the large state dimension of such systems, an assume-guarantee contract is used to…

Systems and Control · Electrical Eng. & Systems 2020-09-18 Yuxiao Chen , James Anderson , Karan Kalsi , Aaron D. Ames , Steven H. Low

This paper addresses the problem of control synthesis for nonlinear optimal control problems in the presence of state and input constraints. The presented approach relies upon transforming the given problem into an infinite-dimensional…

Optimization and Control · Mathematics 2017-03-03 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

We present a method for synthesizing controllers to steer trajectories from an initial set to a target set on a finite time horizon. The proposed control synthesis problem is decomposed into two steps. The first step under-approximates the…

Systems and Control · Computer Science 2018-10-02 He Yin , Andrew Packard , Murat Arcak , Pete Seiler

This paper introduces the notion of an Input Constrained Control Barrier Function (ICCBF), as a method to synthesize safety-critical controllers for non-linear control affine systems with input constraints. The method identifies a subset of…

Optimization and Control · Mathematics 2023-03-15 Devansh Agrawal , Dimitra Panagou

We study the problem of co-designing control barrier functions and linear state feedback controllers for discrete-time linear systems affected by additive disturbances. For disturbances of bounded magnitude, we provide a semi-definite…

Optimization and Control · Mathematics 2025-05-14 Marta Fochesato , Han Wang , Antonis Papachristodoulou , Paul Goulart

We show that given a desired closed-loop response for a system, there exists an affine subspace of controllers that achieve this response. By leveraging the existence of this subspace, we are able to separate controller design from…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Jing Shuang Li , Dimitar Ho

We generalize the system level synthesis framework to systems defined by bounded causal linear operators, and use this parameterization to make connections between robust system level synthesis and classical results from the robust control…

Optimization and Control · Mathematics 2020-05-15 Nikolai Matni , Anish A. Sarma

In this paper we consider a linear system represented by a coupling graph between subsystems and propose a distributed control scheme capable to guarantee asymptotic stability and satisfaction of constraints on system inputs and states.…

Systems and Control · Computer Science 2013-12-23 Stefano Riverso , Marcello Farina , Giancarlo Ferrari-Trecate

The objective of this paper is to solve the controller synthesis problem for bisimulation equivalence in a wide variety of scenarios including discrete-event systems, nonlinear control systems, behavioral systems, hybrid systems and many…

Optimization and Control · Mathematics 2007-11-22 Paulo Tabuada
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