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This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

Systems and Control · Computer Science 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

In this paper, we propose a novel learning-based robust feedback linearization strategy to ensure precise trajectory tracking for an important family of Lagrangian systems. We assume a nominal knowledge of the dynamics is given but no…

Robotics · Computer Science 2025-07-16 Giulio Giacomuzzo , Mohamed Abdelwahab , Marco Calì , Alberto Dalla Libera , Ruggero Carli

We generalize the system level synthesis framework to systems defined by bounded causal linear operators, and use this parameterization to make connections between robust system level synthesis and classical results from the robust control…

Optimization and Control · Mathematics 2020-05-15 Nikolai Matni , Anish A. Sarma

Distributed control problems under some specific information constraints can be formulated as (possibly infinite dimensional) convex optimization problems. The underlying motivation of this work is to develop an understanding of the optimal…

Optimization and Control · Mathematics 2014-03-19 Takashi Tanaka , Pablo A. Parrilo

Computing a stabilizing static output-feedback (SOF) controller is an NP-hard problem, in general. Yet, these controllers have amassed popularity in recent years because of their practical use in feedback control applications, such as fluid…

Systems and Control · Electrical Eng. & Systems 2023-07-10 Talha Mushtaq , Peter Seiler , Maziar S. Hemati

In this paper we address the problem of information-constrained optimal control for an interconnected system subject to one-step communication delays and power constraints. The goal is to minimize a finite-horizon quadratic cost by…

Systems and Control · Computer Science 2018-03-21 V. Causevic , P. Ugo Abara , S. Hirche

In this paper, the solvability of discrete-time stochastic linear-quadratic (LQ) optimal control problem in finite horizon is considered. Firstly, it shows that the closed-loop solvability for the LQ control problem is optimal if and only…

Optimization and Control · Mathematics 2025-02-25 Yue Sun , Xianping Wu , Xun Li

This paper addresses the robust ${\cal H}_2$ synthesis problem for linear fractional transformation (LFT) systems subject to structured uncertainty (parameter) and white-noise disturbances. By introducing an intermediate matrix variable, we…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Fen Wu

This paper proposes a new strategy for missile attitude control using a hybridization of Linear Quadratic Gaussian (LQG), Loop Transfer Recovery (LTR), and Linear Quadratic Integral (LQI) control techniques. The LQG control design is…

Systems and Control · Computer Science 2016-12-01 Saptarshi Das , Kaushik Halder

In this paper, the notion of robust strict QSR-dissipativity is applied to solve the static output feedback control problem for a class of continuous-time nonlinear rational systems subject to input saturation and bounded parametric…

Optimization and Control · Mathematics 2022-03-31 Thiago Alves Lima , Diego de. S. Madeira , Valessa V. Viana , Ricardo C. L. F. Oliveira

As it is popular known, Riccati equation is the key basic tool for optimal control in the modern control theory. The solvability conditions of optimal control, stabilization conditions and controller design are all based on the Riccati…

Optimization and Control · Mathematics 2017-12-27 Huanshui Zhang , Juanjuan Xu

In this work, we develop and analyze adaptive feedback control strategies to stabilize and confine a nanoparticle at the unstable intensity minimum of an optical double-well potential. The resulting stochastic optimal control problem for a…

The linear-quadratic-Gaussian (LQG) control paradigm is well-known in literature. The strategy of minimizing the cost function is available, both for the case where the state is known and where it is estimated through an observer. The…

Systems and Control · Computer Science 2018-12-10 Hildo Bijl , Thomas B. Schön

In this paper, a dynamic antiwindup compensator design is proposed which augments the main controller and guarantees robust performance in the event of input saturation. This is a two stage process in which first a robust optimal controller…

Systems and Control · Computer Science 2015-03-19 Obaid ur Rehman , Ian R. Petersen , Baris Fidan

Motion planning under uncertainty is of significant importance for safety-critical systems such as autonomous vehicles. Such systems have to satisfy necessary constraints (e.g., collision avoidance) with potential uncertainties coming from…

Robotics · Computer Science 2021-08-24 Jianyu Chen , Yutaka Shimizu , Liting Sun , Masayoshi Tomizuka , Wei Zhan

This paper presents a novel approach to synthesize dual controllers for unknown linear time-invariant systems with the tasks of optimizing a quadratic cost while reducing the uncertainty. To this end, a synthesis problem is defined where…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Andrea Iannelli , Mohammad Khosravi , Roy S. Smith

We study the sample efficiency of domain randomization and robust control for the benchmark problem of learning the linear quadratic regulator (LQR). Domain randomization, which synthesizes controllers by minimizing average performance over…

Systems and Control · Electrical Eng. & Systems 2025-02-19 Tesshu Fujinami , Bruce D. Lee , Nikolai Matni , George J. Pappas

We propose a robust model predictive control (MPC) method for discrete-time linear time-invariant systems with norm-bounded additive disturbances and model uncertainty. In our method, at each time step we solve a finite time robust optimal…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Shaoru Chen , Nikolai Matni , Manfred Morari , Victor M. Preciado

In this paper, we present a control synthesis framework for a general class of nonlinear, control-affine systems under spatiotemporal and input constraints. First, we study the problem of fixed-time convergence in the presence of input…

Optimization and Control · Mathematics 2022-04-27 Kunal Garg , Ehsan Arabi , Dimitra Panagou

For linear time-invariant (LTI) systems, the design of an optimal controller is a commonly encountered problem in many applications. Among all the optimization approaches available, the linear quadratic regulator (LQR) methodology certainly…

Optimization and Control · Mathematics 2022-03-29 Zilong Cheng , Jun Ma , Xiaocong Li , Masayoshi Tomizuka , Tong Heng Lee