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We consider the decentralized control of a discrete-time, linear system subject to exogenous disturbances and polyhedral constraints on the state and input trajectories. The underlying system is composed of a finite collection of…

Optimization and Control · Mathematics 2020-04-08 Weixuan Lin , Eilyan Bitar

The H2 guaranteed cost decentralized control problem is investigated in this work. More specifically, on the basis of an appropriate H2 re-formulation that we put in place, the optimal control problem in the presence of parameter…

Optimization and Control · Mathematics 2021-01-13 Jun Ma , Zilong Cheng , Xiaoxue Zhang , Masayoshi Tomizuka , Tong Heng Lee

We study the relationship between disturbance decoupling (DD) and H2 optimal control for linear time-invariant (LTI) systems, revealing a fundamental gap between DD subspace constraints and semi-definite program (SDP)-based H2 minimization.…

Optimization and Control · Mathematics 2026-03-24 Ruirui Ma , Sarah H. Q. Li

This letter presents a new predictive control architecture for high-dimensional robotic systems. As opposed to a conventional Model Predictive Control (MPC) approach to locomotion that formulates a hierarchical sequence of optimization…

Robotics · Computer Science 2021-05-13 He Li , Robert J. Frei , Patrick M. Wensing

This paper presents a cascaded control architecture, based on nonlinear dynamic inversion (NDI), for rigid body attitude control. The proposed controller works directly with the rotation matrix parameterization, that is, with elements of…

Systems and Control · Electrical Eng. & Systems 2024-09-06 Hafiz Zeeshan Iqbal Khan , Farooq Aslam , Muhammad Farooq Haydar , Jamshed Riaz

In this paper, a uniform approach to maximal permissiveness in modular control of discrete-event systems is proposed. It is based on three important concepts of modular closed-loops: monotonicity, distributivity, and exchangeability.…

Systems and Control · Computer Science 2019-05-14 Jan Komenda , Feng Lin , Jan H. van Schuppen

A frequency based data-driven control design considering mixed H2/H-infinity control objectives is developed for multiple input-single output systems. The main advantage of the data-driven control over the model-based control is its ability…

Systems and Control · Computer Science 2018-04-11 Omid Bagherieh , Roberto Horowitz

In this paper, we present a distributed model predictive control (DMPC) scheme for dynamically decoupled systems which are subject to state constraints, coupling state constraints and input constraints. In the proposed control scheme,…

Systems and Control · Electrical Eng. & Systems 2024-08-17 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

Robust constrained formation tracking control of underactuated underwater vehicles (UUVs) fleet in three-dimensional space is a challenging but practical problem. To address this problem, this paper develops a novel consensus based optimal…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Tao Yan , Zhe Xu , Simon X. Yang , S. Andrew Gadsden

We propose a framework for suboptimal model predictive control (MPC) based on the interconnection of monotone dynamical systems, such as port-Hamiltonian systems. In contrast to classical MPC formulations, where the optimizer is treated as…

Optimization and Control · Mathematics 2026-05-25 Till Preuster , Hannes Gernandt , Manuel Schaller

We present a hierarchical model predictive control approach for large-scale systems based on dual decomposition. The proposed scheme allows coupling in both dynamics and constraints between the subsystems and generates a primal feasible…

Optimization and Control · Mathematics 2011-11-10 Minh Dang Doan , Tamás Keviczky , Bart De Schutter

In this paper, we study two kinds of singular optimal controls (SOCs for short) problems where the systems governed by forward-backward stochastic differential equations (FBSDEs for short), in which the control has two components: the…

Optimization and Control · Mathematics 2020-12-22 Liangquan Zhang

Multi-Objective Learning Model Predictive Control is a novel data-driven control scheme which improves a linear system's closed-loop performance with respect to several convex control objectives over iterations of a repeated task. At each…

Systems and Control · Electrical Eng. & Systems 2024-10-21 Siddharth H. Nair , Charlott Vallon , Francesco Borrelli

In this paper, we present a robust distributed model predictive control (DMPC) scheme for dynamically decoupled nonlinear systems which are subject to state constraints, coupled state constraints and input constraints. In the proposed…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

We study an extremal projection principle for families of operators ordered by domination, induced by fixed bounded linear mappings acting on a source with an additive baseline. Stability is defined through domination of second--order…

Functional Analysis · Mathematics 2026-02-04 Philip Kennerberg

Given a control system on a manifold that is embedded in Euclidean space, it is sometimes convenient to use a single global coordinate system in the ambient Euclidean space for controller design rather than to use multiple local charts on…

Optimization and Control · Mathematics 2017-10-10 Dong Eui Chang

We present an algorithm for steering the output of a linear system from a feasible initial condition to a desired target position, while satisfying input constraints and non-convex output constraints. The system input is generated by a…

Systems and Control · Computer Science 2017-12-05 Claus Danielson , Avishai Weiss , Karl Berntorp , Stefano Di Cairano

This paper presents a hierarchical control scheme for interconnected linear systems. At the higher layer of the control structure a robust centralized Model Predictive Control (MPC) algorithm based on a reduced order dynamic model of the…

Systems and Control · Computer Science 2017-05-25 Marcello Farina , Xinglong Zhang , Riccardo Scattolini

Suboptimal model predictive control is a technique that can reduce the computational cost of model predictive control (MPC) by exploiting its robustness to incomplete optimization. Instead of solving the optimal control problem exactly,…

Systems and Control · Computer Science 2019-05-08 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

In this paper, we investigate a decentralized control problem with nested subsystems, which is a general model for one-directional communication amongst many subsystems. The noises in our dynamics are modelled as uncertain variables which…

Optimization and Control · Mathematics 2022-06-14 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos