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It is well known from the seminal Brockett's theorem that the openness property of the mapping on the right-hand side of a given nonlinear ODE control system is a necessary condition for the existence of locally asymptotically stabilizing…

Optimization and Control · Mathematics 2017-04-05 Rohit Gupta , Farhad Jafari , Robert J. Kipka , Boris S. Mordukhovich

We consider the problem of adaptive control of a class of feedback linearizable plants with matched parametric uncertainties whose states are accessible, subject to state constraints, which often arise due to safety considerations. In this…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Peter A. Fisher , Johannes Autenrieb , Anuradha M. Annaswamy

The stabilization of nonautonomous parabolic equations is achieved by feedback inputs tuning a finite number of actuators, where it is assumed that the input is subject to a time delay. To overcome destabilizing effects of the time delay,…

Optimization and Control · Mathematics 2025-11-21 Karl Kunisch , Sérgio S. Rodrigues

This paper addresses the problem of exponential practical stabilization of linear time-invariant systems with disturbances using event-triggered control and bounded communication bit rate. We consider both the case of instantaneous…

Systems and Control · Computer Science 2015-10-16 Pavankumar Tallapragada , Jorge Cortes

Nonlinear extension of the integral part of a standard proportional-integral-derivative (PID) feedback control is proposed for perturbed second-order systems. The approach is model-free and requires solely the Lipschitz boundedness of the…

Optimization and Control · Mathematics 2025-05-20 Michael Ruderman

In this note we address the problem of indirect adaptive (regulation or tracking) control of nonlinear, input affine dissipative systems. It is assumed that the supply rate, the storage and the internal dissipation functions may be…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Romeo Ortega , Rafael Cisneros , Lei Wang , Arjan van der Schaft

We study the output feedback exponential stabilization for a 1-d wave PDE with dynamic boundary. With only one measurement, we construct an infinite-dimensional state observer to trace the state and design an estimated state based…

Optimization and Control · Mathematics 2021-05-04 Zhan-Dong Mei

This paper provides sufficient conditions for global asymptotic stability and global exponential stability, which can be applied to nonlinear, large-scale, uncertain discrete-time systems. The conditions are derived by means of vector…

Optimization and Control · Mathematics 2014-03-25 Iasson Karafyllis , Markos Papageorgiou

Since the classical proportional-integral-derivative (PID) controller is the most widely and successfully used ones in industrial processes, it is of vital importance to investigate theoretically the rationale of this ubiquitous controller…

Optimization and Control · Mathematics 2019-01-16 Cheng Zhao , Lei Guo

This paper introduces an innovative singularity-free output feedback model reference adaptive control (MRAC) method applicable to a wide range of continuous-time linear time-invariant (LTI) systems with general relative degrees. Unlike…

Systems and Control · Electrical Eng. & Systems 2024-11-05 Zhipeng Zhang , Yanjun Zhang , Jian Sun

This paper investigates gradient-based adaptive prediction and control for nonlinear stochastic dynamical systems under a weak convexity condition on the prediction-based loss. This condition accommodates a broad range of nonlinear models…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Yujing Liu , Xin Zheng , Zhixin Liu , Lei Guo

High performance tracking control can only be achieved if a good model of the dynamics is available. However, such a model is often difficult to obtain from first order physics only. In this paper, we develop a data-driven control law that…

Systems and Control · Computer Science 2018-11-20 Thomas Beckers , Jonas Umlauft , Dana Kulić , Sandra Hirche

This paper deals with the development and analysis of novel time-optimal point-to-point model predictive control concepts for nonlinear systems. Recent approaches in the literature apply a time transformation, however, which do not maintain…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Christoph Rösmann , Artemi Makarow , Torsten Bertram

In this paper, we will consider a class of continuous-time stochastic control systems with both unknown nonlinear structure and unknown disturbances, and investigate the capability of the classical proportional-integral-derivative(PID)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Cheng Zhao , Shuo Yuan

In this paper, we are concerned with the state feedback stabilization of ODE-PDE cascade systems governed by a linear ordinary differential equation and the 1-d reaction-diffusion equation posed on a bounded interval. In contrast to the…

Analysis of PDEs · Mathematics 2018-01-04 Habib Ayadi

This paper considers the stabilization of nonlinear continuous-time dynamical systems employing periodic event-triggered control (PETC). Assuming knowledge of a stabilizing feedback law for the continuous-time system with a certain…

Systems and Control · Electrical Eng. & Systems 2019-09-02 Michael Hertneck , Steffen Linsenmayer , Frank Allgöwer

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

We consider the task of motion control for non-prehensile manipulation using parallel kinematics mechatronic setup, in particular, stabilization of a ball on a plate under unmeasured external harmonic disturbances. System parameters are…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Dmitrii Dobriborsci , Sergey Kolyubin , Alexey Bobtsov

This paper presents a technique for designing output feedback controllers for constrained linear parameter-varying systems that are subject to persistent disturbances. Specifically, we develop an incremental parameter-varying output…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Jackson G. Ernesto , Eugenio B. Castelan , Walter Lucia

Robust control of complex engineered and biological systems hinges on the integration of feedforward and feedback mechanisms. This is exemplified in neural motor control, where feedforward muscle co-contraction complements sensory-driven…

Optimization and Control · Mathematics 2026-03-06 Bastien Berret , Frédéric Jean
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