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Feedback optimization is a control paradigm that enables physical systems to autonomously reach efficient operating points. Its central idea is to interconnect optimization iterations in closed-loop with the physical plant. Since iterative…

Optimization and Control · Mathematics 2024-07-16 Zhiyu He , Saverio Bolognani , Jianping He , Florian Dörfler , Xinping Guan

In this paper, we provide a direct data-driven approach to synthesize safety controllers for unknown linear systems affected by unknown-but-bounded disturbances, in which identifying the unknown model is not required. First, we propose a…

Systems and Control · Electrical Eng. & Systems 2023-01-16 Bingzhuo Zhong , Majid Zamani , Marco Caccamo

We consider the problem of approximating discrete-time plants with finite-valued sensors and actu- ators by deterministic finite memory systems for the purpose of certified-by-design controller synthesis. Building on ideas from robust…

Optimization and Control · Mathematics 2013-10-11 Danielle C. Tarraf

This paper addresses the problem of optimally controlling nonlinear systems with norm-bounded disturbances and parametric uncertainties while robustly satisfying constraints. The proposed approach jointly optimizes a nominal nonlinear…

Systems and Control · Electrical Eng. & Systems 2023-09-14 Antoine P. Leeman , Jerome Sieber , 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

In this paper, we show that a hybrid integrator-gain system (HIGS) is a nonlinear negative imaginary (NNI) system. We prove that the positive feedback interconnection of a linear negative imaginary (NI) system and a HIGS is asymptotically…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Kanghong Shi , Nastaran Nikooienejad , Ian R. Petersen , S. O. Reza Moheimani

We demonstrate the use of a new, control-oriented notion of finite state approximation for a particular class of hybrid systems. Specifically, we consider the problem of designing a stabilizing binary output feedback switching controller…

Optimization and Control · Mathematics 2013-10-11 Danielle C. Tarraf , Alexandre Megretski , Munther A. Dahleh

We develop an optimization-based framework for joint real-time trajectory planning and feedback control of feedback-linearizable systems. To achieve this goal, we define a target trajectory as the optimal solution of a time-varying…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Tianqi Zheng , John Simpson-Porco , Enrique Mallada

We consider a networked control system where a linear time-invariant (LTI) plant, subject to a stochastic disturbance, is controlled over a communication channel with colored noise and a signal-to-noise ratio (SNR) constraint. The…

Systems and Control · Computer Science 2012-04-02 Erik Johannesson , Anders Rantzer , Bo Bernhardsson

We propose a framework for synthesizing a feedback control policy that maximizes the region of attraction (ROA) of a closed-loop nonlinear dynamical system. Our synthesis technique relies on stochastic optimization, which involves…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Ayan Chakraborty , Indranil Saha

H-infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas…

Optimization and Control · Mathematics 2021-06-09 Carolina Bergeling , Kirsten A. Morris , Anders Rantzer

In this paper we investigate the optimal controller synthesis problem, so that the system under the controller can reach a specified target set while satisfying given constraints. Existing model predictive control (MPC) methods learn from a…

Optimization and Control · Mathematics 2023-06-22 Dejin Ren , Wanli Lu , Jidong Lv , Lijun Zhang , Bai Xue

The behavior composition problem involves automatically building a controller that is able to realize a desired, but unavailable, target system (e.g., a house surveillance) by suitably coordinating a set of available components (e.g., video…

Artificial Intelligence · Computer Science 2016-07-05 Nitin Yadav , Sebastian Sardina

Controller synthesis is the process of constructing a correct system automatically from its specification. This often requires assumptions about the behaviour of the environment. It is difficult for the designer to identify the assumptions…

Logic in Computer Science · Computer Science 2016-04-13 Romain Brenguier

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

In this paper, we propose a new approach to address the control problem for negative imaginary (NI) systems by using hybrid integrator-gain systems (HIGS). We investigate the single HIGS of its original form and its two variations,…

Systems and Control · Electrical Eng. & Systems 2023-10-25 Kanghong Shi , Nastaran Nikooienejad , Ian R. Petersen , S. O. Reza Moheimani

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

Numerically computing global policies to optimal control problems for complex dynamical systems is mostly intractable. In consequence, a number of approximation methods have been developed. However, none of the current methods can quantify…

Robotics · Computer Science 2021-03-05 Ashwin Khadke , Hartmut Geyer

In this paper we study the problem of determining the largest degree of stability that can be achieved for SISO systems using negative imaginary state feedback control. A state feedback result is given for synthesising a controller for a…

Optimization and Control · Mathematics 2023-03-14 James Dannatt , Ian Petersen

With the increased demand for power efficiency in feedback-control systems, communication is becoming a limiting factor, raising the need to trade off the external cost that they incur with the capacity of the controller's communication…

Systems and Control · Computer Science 2018-02-01 Roy Fox , Naftali Tishby