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Related papers: Mixed $L_1/H_\infty$-synthesis for $L_\infty$-stab…

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A robustly stabilizing optimal control policy in a model-free mixed $\mathcal{H}_2/\mathcal{H}_\infty$-control setting is here put forward for counterbalancing the slow convergence and non-robustness of traditional high-variance policy…

Optimization and Control · Mathematics 2023-04-18 Lekan Molu

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

Optimization and Control · Mathematics 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

The presence of (partially) automated vehicles on the roads presents an opportunity to compensate the unstable behaviour of conventional vehicles. Vehicles subject to perturbations should (i) recover their equilibrium speed, (ii) react not…

Systems and Control · Computer Science 2018-03-16 Julien Monteil , Melanie Bouroche , Douglas J. Leith

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

Systems and Control · Computer Science 2012-06-05 Corentin Briat

Computing the receding horizon optimal control of nonlinear hybrid systems is typically prohibitively slow, limiting real-time implementation. To address this challenge, we propose a layered Model Predictive Control (MPC) architecture for…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Zachary Olkin , Aaron D. Ames

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

In this paper, a new approach based on convex analysis is introduced to solve the $H_\infty$ problem for discrete-time nonlinear stochastic systems. A stochastic version of bounded real lemma is proved and the state feedback $H_\infty$…

Optimization and Control · Mathematics 2017-10-27 Xiangyun Lin , Tianliang Zhang , Weihai Zhang , Bor-Sen Chen

This paper presents a method to verify closed-loop properties of optimization-based controllers for deterministic and stochastic constrained polynomial discrete-time dynamical systems. The closed-loop properties amenable to the proposed…

Optimization and Control · Mathematics 2016-11-16 Milan Korda , Colin N. Jones

The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient…

Systems and Control · Computer Science 2012-04-06 Corentin Briat , Olivier Sename , Jean-François Lafay

This paper presents a new control, namely additive-state-decomposition dynamic inversion stabilized control, that is used to stabilize a class of multi-input multi-output (MIMO) systems subject to nonparametric time-varying uncertainties…

Systems and Control · Computer Science 2020-03-10 Quan Quan , Guangxun Du , Kai-Yuan Cai

Modern control systems must operate in increasingly complex environments subject to safety constraints and input limits, and are often implemented in a hierarchical fashion with different controllers running at multiple time scales. Yet…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Noel Csomay-Shanklin , Andrew J. Taylor , Ugo Rosolia , Aaron D. Ames

Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

Systems and Control · Computer Science 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for…

Optimization and Control · Mathematics 2010-12-13 Iasson Karafyllis , Miroslav Krstic

In this paper, we present a convex formulation of $H_{\infty}$-optimal control problem for coupled linear ODE-PDE systems with one spatial dimension. First, we reformulate the coupled ODE-PDE system as a Partial Integral Equation (PIE)…

Optimization and Control · Mathematics 2020-06-26 Sachin Shivakumar , Amritam Das , Siep Weiland , Matthew M. Peet

We consider a system of linear hyperbolic PDEs where the state at one of the boundary points is controlled using the measurements of another boundary point. Because of the disturbances in the measurement, the problem of designing dynamic…

Systems and Control · Computer Science 2017-07-25 Aneel Tanwani , Christophe Prieur , Sophie Tarbouriech

The stability of stochastic Model Predictive Control (MPC) subject to additive disturbances is often demonstrated in the literature by constructing Lyapunov-like inequalities that ensure closed-loop performance bounds and boundedness of the…

Optimization and Control · Mathematics 2020-04-07 Diego Muñoz-Carpintero , Mark Cannon

A state space based design method is given to find strongly stabilizing controllers for multiple-input-multiple-output plants (MIMO). A sufficient condition is derived for the existence of suboptimal stable H-infinity controller in terms of…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Suat Gumussoy , Hitay Ozbay

This paper proposes a control strategy consisting of a robust controller and an Echo State Network (ESN) based control law for stabilizing a class of uncertain nonlinear discrete-time systems subject to persistent disturbances. Firstly, the…

Systems and Control · Electrical Eng. & Systems 2024-10-31 A. Banderchuk , D. Coutinho , E. Camponogara

We provide a comprehensive impossibility result towards achieving string stability, i.e. keeping local relative errors in check with local controllers independently of the size of a chain of subsystems. We significantly extend existing…

Optimization and Control · Mathematics 2018-10-29 Arash Farnam , Alain Sarlette
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