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It is shown that an explicit oblique projection nonlinear feedback controller is able to stabilize semilinear parabolic equations, with time-dependent dynamics and with a polynomial nonlinearity. The actuators are typically modeled by a…

Optimization and Control · Mathematics 2019-03-20 Sérgio S. Rodrigues

This work studies the inverse optimality of input-to-state stabilizing controllers with input-output stability guarantees for nonlinear homogeneous systems. We formulate a new inverse optimal control problem, where the cost functional…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Kaixin Lu , Ziliang Lyu , Haoyong Yu

This article studies the control ideas of the optimal backstepping technique, proposing an event-triggered optimal tracking control scheme for a class of strict-feedback nonlinear systems with non-affine and nonlinear faults. A simplified…

Optimization and Control · Mathematics 2024-06-13 Ling Wang , Xin Wang , Ziming Wang

This paper presents a backstepping solution for the output feedback control of general linear heterodirectional hyperbolic PDE-ODE systems with spatially-varying coefficients. Thereby, the coupling in the PDE is in-domain and at the…

Optimization and Control · Mathematics 2017-11-03 Joachim Deutscher , Nicole Gehring , Richard Kern

Model predictive control (MPC) is a powerful control method that allows to directly include state and input constraints into the controller design. However, errors in the model, e.g., caused by unknown disturbances, can lead to constraint…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Felix Brändle , Frank Allgöwer

We study how to design a secure observer-based distributed controller such that a group of vehicles can achieve accurate state estimates and formation control even if the measurements of a subset of vehicle sensors are compromised by a…

Systems and Control · Electrical Eng. & Systems 2021-01-03 Xingkang He , Ehsan Hashemi , Karl H. Johansson

This paper considers the problem of output feedback control for non-square multi-input multi-output systems with arbitrary relative degree. The proposed controller, based on the L1 adaptive control architecture, is designed using the right…

Optimization and Control · Mathematics 2024-12-20 Hanmin Lee , Venanzio Cichella , Naira Hovakimyan

Recent studies have demonstrated the potential of flexible loads in providing frequency response services. However, uncertainty and variability in various weather-related and end-use behavioral factors often affect the demand-side control…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Sai Pushpak Nandanoori , Soumya Kundu , Jianming Lian , Umesh Vaidya , Draguna Vrabie , Karanjit Kalsi

This paper presents a low-complexity, model-free, output-feedback controller for a class of unknown time-varying nonlinear systems with unknown input constraints. The controller achieves the preset control accuracy when the actuator is not…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Dianrui Mu , Changchun Hua , Yafeng Li , Jiannan Chen , Rao Wei

The barrier function method for safety control typically assumes the availability of full state information. Unfortunately, in many scenarios involving uncertain dynamical systems, full state information is often unavailable. In this paper,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Binghan He , Takashi Tanaka

This paper is concerned with the design of an augmented state feedback controller for finite-dimensional linear systems with nonlinear observation dynamics. Most of the theoretical results in the area of (optimal) feedback design are based…

Systems and Control · Electrical Eng. & Systems 2019-08-30 Atiye Alaeddini , Kristi A. Morgansen , Mehran Mesbahi

This paper proposes a novel control scheme, named self-reflective model predictive control, which takes its own limitations in the presence of process noise and measurement errors into account. In contrast to existing output-feedback MPC…

Optimization and Control · Mathematics 2017-05-01 Boris Houska , Dries Telen , Filip Logist , Jan Van Impe

We present an optimization-based framework for analysis and control of linear parabolic partial differential equations (PDEs) with spatially varying coefficients without discretization or numerical approximation. For controller synthesis,…

Systems and Control · Computer Science 2016-09-06 Aditya Gahlawat , Matthew M. Peet

This paper addresses the balanced control between performance and saturation for a class of constrained nonlinear systems, including the branches: balanced command filtered backstepping (BCFB) and balanced performance control (BPC). To…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Peng Wang , Haibin Wang , Shuzhi Sam Ge , Xiaobing Zhang

We formulate a general mathematical framework for self-tuning network control architecture design. This problem involves jointly adapting the locations of active sensors and actuators in the network and the feedback control policy to all…

Optimization and Control · Mathematics 2023-01-18 Tyler Summers , Karthik Ganapathy , Iman Shames , Mathias Hudoba de Badyn

This paper presents a process for coordinating stakeholders in their consideration of performance indicators and respective interface requirements for automated vehicles. These performance indicators are obtained and processed based on the…

Software Engineering · Computer Science 2026-03-23 Richard Schubert , Marvin Loba , Alexander Blödel , David Klüner , Alexandru Kampmann , Steven Peters

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

Optimization and Control · Mathematics 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

An MPC controller uses a model of the dynamical system to plan an optimal control strategy for a finite horizon, which makes its performance intrinsically tied to the quality of the model. When faults occur, the compromised model will…

Systems and Control · Electrical Eng. & Systems 2026-03-31 David Laranjinho , Daniel Silvestre

A modification to the ${\cal L}_1$ control framework for uncertain systems with actuator delay is presented. Specifically, a time delay is introduced in the control input of the state predictor to compensate for the destabilizing effect of…

Optimization and Control · Mathematics 2022-09-27 Kim-Doang Nguyen , Harry Dankowicz

Optimal cruise control design can increase highway throughput and vehicle safety in traffic flow. In most heterogeneous platoons, the absence of vehicle-to-vehicle (V2V) communication poses challenges in maintaining system stability and…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Vishrut Bohara , Siavash Farzan