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This paper formulates adaptive controller design as a minimax dual control problem. The objective is to design a controller that minimizes the worst-case performance over a set of uncertain systems. The uncertainty is described by a set of…

Optimization and Control · Mathematics 2024-09-09 Olle Kjellqvist , Anders Rantzer

In this paper we consider a linear system structured into physically coupled subsystems and propose a decentralized control scheme capable to guarantee asymptotic stability and satisfaction of constraints on system inputs and states. The…

Systems and Control · Computer Science 2013-02-04 Stefano Riverso , Marcello Farina , Giancarlo Ferrari-Trecate

We propose a formulation for approximate constrained nonlinear output-feedback stochastic model predictive control. Starting from the ideal but intractable stochastic optimal control problem (OCP), which involves the optimization over…

Optimization and Control · Mathematics 2023-01-10 Florian Messerer , Katrin Baumgärtner , Moritz Diehl

This paper investigates the synthesis of distributed economic control algorithms under which dynamically coupled physical systems are regulated to a variational equilibrium of a constrained convex game. We study two complementary cases: (i)…

Optimization and Control · Mathematics 2021-08-25 Yang Lu , Minghui Zhu

A multi-variable adaptive controller is derived as the explicit solution to a minimax dynamic game. The minimizing player selects the control action as a function of past state measurements and inputs. The maximizing player selects…

Optimization and Control · Mathematics 2025-12-01 Anders Rantzer

A decentralized control system with linear dynamics, quadratic cost, and Gaussian disturbances is considered. The system consists of a finite number of subsystems whose dynamics and per-step cost function are coupled through their…

Optimization and Control · Mathematics 2020-12-04 Jalal Arabneydi , Aditya Mahajan

We consider a stochastic control problem where the set of controls is not necessarily convex and the system is governed by a nonlinear backward stochastic differential equation. We establish necessary as well as sufficient conditions of…

Probability · Mathematics 2008-12-20 Seid Bahlali

In this paper we propose an original distributed control framework for DC mcirogrids. We first formulate the (optimal) control objectives as an aggregative game suitable for the energy trading market. Then, based on the dual theory, we…

Systems and Control · Electrical Eng. & Systems 2023-01-12 Zao Fu , Michele Cucuzzella , Carlo Cenedese , Wenwu Yu , Jacquelien M. A. Scherpen

In this paper, we study distributed estimation and control problems over graphs under partially nested information patterns. We show a duality result that is very similar to the classical duality result between state estimation and state…

Optimization and Control · Mathematics 2012-09-17 Ather Gattami , Sanjoy Mitter

In this paper a decentralized control algorithm for systems composed of $N$ dynamically decoupled agents, coupled by feasibility constraints, is presented. The control problem is divided into $N$ optimal control sub-problems and a…

Multiagent Systems · Computer Science 2017-02-28 Ugo Rosolia , Francesco Braghin , Andrew G. Alleyne , Stijn De Bruyne , Edoardo Sabbioni

In this article, we consider a cooperative control problem involving a heterogeneous network of dynamically decoupled continuous-time linear plants. The (output-feedback) controllers for each plant may communicate with each other according…

Optimization and Control · Mathematics 2024-01-09 Mruganka Kashyap , Laurent Lessard

This paper studies the stochastic optimal control problem for systems with unknown dynamics. A novel decoupled data based control (D2C) approach is proposed, which solves the problem in a decoupled "open loop-closed loop" fashion that is…

Systems and Control · Computer Science 2018-09-11 Dan Yu , Mohammandhussen Rafieisakhaei , Suman Chakravorty

An explicit solution is derived for the Bellman inequality corresponding to minimax optimal dual control. The minimizing player determines control action as a function of past state measurements and inputs. The maximizing player selects…

Optimization and Control · Mathematics 2026-04-24 Anders Rantzer

This paper considers the problem of regulating a dynamical system to equilibria that are defined as solutions of an input- and state-constrained optimization problem. To solve this regulation task, we design a state feedback controller…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Yiting Chen , Liliaokeawawa Cothren , Jorge Cortes , Emiliano Dall'Anese

The consensus control with optimal cost remains major challenging although consensus control problems have been well studied in recent years. In this paper, we study the consensus control of multi-agent system associated with a given cost…

Optimization and Control · Mathematics 2018-03-28 Juanjuan Xu , Huanshui Zhang

This paper considers the optimal control for hybrid systems whose trajectories transition between distinct subsystems when state-dependent constraints are satisfied. Though this class of systems is useful while modeling a variety of…

Optimization and Control · Mathematics 2018-03-21 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

We propose a distributed control, in which many identical control agents are deployed for controlling a linear time-invariant plant that has multiple input-output channels. Each control agent can join or leave the control loop during the…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Taekyoo Kim , Donggil Lee , Hyungbo Shim

This paper develops an optimal relative output-feedback based solution to the containment control problem of linear heterogeneous multi-agent systems. A distributed optimal control protocol is presented for the followers to not only assure…

This paper studies optimal control and stabilization problems for continuous-time mean-field systems with input delay, which are the fundamental development of control and stabilization problems for mean-field systems. There are two main…

Optimization and Control · Mathematics 2020-10-19 Xiao Ma , Qingyuan Qi , Xun Li , Huanshui Zhang

Motivated by perception-based control problems in autonomous systems, this paper addresses the problem of developing feedback controllers to regulate the inputs and the states of a dynamical system to optimal solutions of an optimization…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Liliaokeawawa Cothren , Gianluca Bianchin , Sarah Dean , Emiliano Dall'Anese