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The aim of this paper is to design a band-limited optimal input with power constraints for identifying a linear multi-input multi-output system. It is assumed that the nominal system parameters are specified. The key idea is to use the…

Systems and Control · Computer Science 2017-06-14 Shravan Mohan , Mithun Im , Bharath Bhikkaji

We study the optimal control of the mean and variance of the network state vector. We develop an algorithm that uses projected gradient descent to optimize the control input placement, subject to constraints on the state that must be…

Optimization and Control · Mathematics 2024-04-16 Philip Solimine , Anke Meyer-Baese

This paper considers the problem of real-time mode scheduling in linear time-varying switched systems subject to a quadratic cost functional. The execution time of hybrid control algorithms is often prohibitive for real-time applications…

Optimization and Control · Mathematics 2017-09-04 Anastasia Mavrommati , Jarvis A. Schultz , Todd D. Murphey

We propose an algorithm for designing optimal inputs for on-line Bayesian identification of stochastic non-linear state-space models. The proposed method relies on minimization of the posterior Cram\'er Rao lower bound derived for the model…

Applications · Statistics 2013-07-25 Aditya Tulsyan , Swanand R. Khare , Biao Huang , R. Bhushan Gopaluni , J. Fraser Forbes

Standard optimal control methods perform optimization in the time domain. However, many experimental settings demand the expression of the control signal as a superposition of given waveforms, a case that cannot easily be accommodated using…

Optimization and Control · Mathematics 2015-06-22 Selina Meister , Jürgen T. Stockburger , Rebecca Schmidt , Joachim Ankerhold

Feedback optimization is an increasingly popular control paradigm to optimize dynamical systems, accounting for control objectives that concern the system operation at steady-state. Existing feedback optimization techniques heavily rely on…

Optimization and Control · Mathematics 2025-04-08 Amir Mehrnoosh , Gianluca Bianchin

We propose an optimization formulation for the simultaneous estimation of a latent variable and the identification of a linear continuous-time dynamic system, given a single input-output pair. We justify this approach based on Bayesian…

Optimization and Control · Mathematics 2023-06-29 Pierre-Cyril Aubin-Frankowski , Alain Bensoussan , S. Joe Qin

General distribution steering is intrinsically an infinite-dimensional problem, when the continuous distributions to steer are arbitrary. We put forward a moment representation of the primal system for control in [42]. However, the system…

Optimization and Control · Mathematics 2025-04-01 Guangyu Wu , Anders Lindquist

Model predictive control solves a constrained optimization problem online in order to compute an implicit closed-loop control policy. Recursive feasibility -- guaranteeing that the optimal control problem will have a solution at every time…

Optimization and Control · Mathematics 2024-10-16 Jacob W. Knaup , Panagiotis Tsiotras

We propose here a framework to model real-time components consisting of concurrent real-time tasks running on a single processor, using parametric timed automata. Our framework is generic and modular, so as to be easily adapted to different…

Operating Systems · Computer Science 2014-04-02 Youcheng Sun , Giuseppe Lipari , Étienne André , Laurent Fribourg

Optimal control is an essential tool for stabilizing complex nonlinear systems. However, despite the extensive impacts of methods such as receding horizon control, dynamic programming and reinforcement learning, the design of cost functions…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Tyler Westenbroek , Anand Siththaranjan , Mohsin Sarwari , Claire J. Tomlin , Shankar S. Sastry

For industrial product design, it is very important to take into account assembly/disassembly and maintenance operations during the conceptual and prototype design stage. For these operations or other similar operations in a constrained…

Robotics · Computer Science 2010-12-21 Liang Ma , Ruina Ma , Damien Chablat , Fouad Bennis

For a time-limited version of the H$_2$ norm defined over a fixed time interval, we obtain a closed form expression of the gradients. After that, we use the gradients to propose a time-limited model order reduction method. The method…

Systems and Control · Electrical Eng. & Systems 2022-01-04 Kasturi Das , Srinivasan Krishnaswamy , Somanath Majhi

Originating in the artificial intelligence literature, optimistic planning (OP) is an algorithm that generates near-optimal control inputs for generic nonlinear discrete-time systems whose input set is finite. This technique is therefore…

Optimization and Control · Mathematics 2019-08-06 Mathieu Granzotto , Romain Postoyan , Lucian Buşoniu , Dragan Nešić , Jamal Daafouz

In this work we present an adaptive Newton-type method to solve nonlinear constrained optimization problems in which the constraint is a system of partial differential equations discretized by the finite element method. The adaptive…

Optimization and Control · Mathematics 2017-06-05 Thomas Carraro , Simon Dörsam , Stefan Frei , Daniel Schwarz

In this paper, we study the minimal cost constrained input-output (I/O) and control configuration co-design problem. Given a linear time-invariant plant, where a collection of possible inputs and outputs is known a priori, we aim to…

Optimization and Control · Mathematics 2015-03-17 Sergio Pequito , Soummya Kar , George J. Pappas

We introduce a minimization formulation for the determination of a finite-dimensional, time-dependent, orthonormal basis that captures directions of the phase space associated with transient instabilities. While these instabilities have…

Computational Physics · Physics 2016-04-27 Hessam Babaee , Themistoklis Sapsis

In the framework of Model Predictive Control (MPC), the control input is typically computed by solving optimization problems repeatedly online. For general nonlinear systems, the online optimization problems are non-convex and…

Optimization and Control · Mathematics 2021-03-31 Zheming Wang , Raphaël M. Jungers

Model Predictive Control (MPC) is often tuned by trial and error. When a baseline linear controller exists that is already well tuned in the absence of constraints and MPC is introduced to enforce them, one would like to avoid altering the…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Mario Zanon , Alberto Bemporad

The performance, reliability, cost, size and energy usage of computing systems can be improved by one or more orders of magnitude by the systematic use of modern control and optimization methods. Computing systems rely on the use of…

Systems and Control · Computer Science 2017-10-13 Eric C. Kerrigan