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This paper addresses the problem of robust stabilization for linear hyperbolic Partial Differential Equations (PDEs) with Markov-jumping parameter uncertainty. We consider a 2 x 2 heterogeneous hyperbolic PDE and propose a control law using…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Yihuai Zhang , Jean Auriol , Huan Yu

This paper proposes the design of gain-scheduled static output feedback controllers for the stabilization of continuous-time linear parameter-varying systems with $\mathcal{L}_2$-gain performance. The system is transformed into the form of…

Optimization and Control · Mathematics 2024-10-28 Valessa V. Viana , Diego de S. Madeira , Thiago Alves Lima

For a parameter-unknown linear descriptor system, this paper proposes data-driven methods to testify the system's type and controllability and then to stabilize it. First, a data-based condition is developed to identify whether this unknown…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Jiabao He , Xuan Zhang , Feng Xu , Junbo Tan , Xueqian Wang

"Dynamic compensation" is a robustness property where a perturbed biological circuit maintains a suitable output [Karin O., Swisa A., Glaser B., Dor Y., Alon U. (2016). Mol. Syst. Biol., 12: 886]. In spite of several attempts, no fully…

Systems and Control · Computer Science 2018-01-17 Michel Fliess , Cédric Join

This paper proposes an output feedback controller capable of ensuring steady-state offset-free tracking for ramp and sinusoidal reference signals while ensuring local stability and state and input constraints fulfillment. The proposed…

Optimization and Control · Mathematics 2024-03-18 Geovana Franca dos Santos , Eugenio B. Castelan , Walter Lucia

We develop a switched nonlinear predictor-feedback control law to achieve global asymptotic stabilization for nonlinear systems with arbitrarily long input delay, under state quantization. The proposed design generalizes the nonlinear…

Optimization and Control · Mathematics 2025-01-27 Florent Koudohode , Nikolaos Bekiaris-Liberis

Sufficient conditions for global stabilization of nonlinear systems with delayed input by means of approximate predictors are presented. An approximate predictor is a mapping which approximates the exact values of the stabilizing input for…

Optimization and Control · Mathematics 2009-10-21 Iasson Karafyllis

We study robust output regulation for parabolic partial differential equations and other infinite-dimensional linear systems with analytic semigroups. As our main results we show that robust output tracking and disturbance rejection for our…

Optimization and Control · Mathematics 2021-04-19 Lassi Paunonen , Duy Phan

This paper provides an exponential stability result for the adaptive anti-unwinding attitude tracking control problem of a rigid body with uncertain but constant inertia parameters, without requiring the satisfaction of persistent…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Xiaodong Shao , Qinglei Hu , Daochun Li , Yang Shi , Bowen Yi

Recent research shows that supervised learning can be an effective tool for designing near-optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of neural network controllers is still not well…

Optimization and Control · Mathematics 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

Predictive control, which is based on a model of the system to compute the applied input optimizing the future system behavior, is by now widely used. If the nominal models are not given or are very uncertain, data-driven model predictive…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Hoang Hai Nguyen , Maurice Friedel , Rolf Findeisen

In this paper we consider feedback stabilization for parabolic variational inequalities of obstacle type with time and space depending reaction and convection coefficients and show exponential stabilization to nonstationary trajectories.…

Optimization and Control · Mathematics 2021-04-06 Axel Kröner , Carlos N. Rautenberg , Sérgio S. Rodrigues

In this paper we propose dynamic output-feedback controller synthesis methods for discrete-time linear time-invariant systems. The synthesis goal is either to achieve dissipativity with respect to a given quadratic supply rate, or to…

Optimization and Control · Mathematics 2026-05-27 Pietro Kristović , Andrej Jokić , Mircea Lazar

In this paper, we propose a novel dynamic state-feedback controller for polytopic linear parameter-varying (LPV) systems with constant input matrix. The controller employs a projected gradient flow method to continuously improve its control…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Armin Gießler , Felix Strehle , Jochen Illerhaus , Sören Hohmann

Robust implementable output regulator design approaches are studied for general linear continuous-time \mbox{systems} with periodically sampled measurements, consisting of both the regulation errors and extra measurements that are generally…

Optimization and Control · Mathematics 2021-03-01 Lei Wang , Lorenzo Marconi , Christopher M. Kellett

Recent research has shown that supervised learning can be an effective tool for designing optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of these neural network (NN) controllers is still not…

Optimization and Control · Mathematics 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

The paper provides results for the application of boundary feedback control with Zero-Order-Hold (ZOH) to 1-D linear parabolic systems on bounded domains. It is shown that the continuous-time boundary feedback applied in a sample-and-hold…

Optimization and Control · Mathematics 2017-01-10 Iasson Karafyllis , Miroslav Krstic

Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

Systems and Control · Electrical Eng. & Systems 2022-02-04 Asifa Yousaf

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

Optimization and Control · Mathematics 2019-06-05 Elyar Zavary , Mahdi Sojoodi

For an unknown linear system, starting from noisy open-loop input-state data collected during a finite-length experiment, we directly design a linear feedback controller that guarantees robust invariance of a given polyhedral set of the…

Systems and Control · Electrical Eng. & Systems 2022-05-25 Andrea Bisoffi , Claudio De Persis , Pietro Tesi