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We consider stability analysis of constrained switching linear systems in which the dynamics is unknown and whose switching signal is constrained by an automaton. We propose a data-driven Lyapunov framework for providing probabilistic…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Adrien Banse , Zheming Wang , Raphaël M. Jungers

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive…

Optimization and Control · Mathematics 2013-11-15 Corentin Briat

Constraint tightening to non-conservatively guarantee recursive feasibility and stability in Stochastic Model Predictive Control is addressed. Stability and feasibility requirements are considered separately, highlighting the difference…

Systems and Control · Computer Science 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

This paper presents a safe feedback control framework for nonlinear control-affine systems with parametric uncertainty by leveraging adaptive dynamic programming (ADP) with barrier-state augmentation. The developed ADP-based controller…

Optimization and Control · Mathematics 2026-01-05 Trivikram Satharasi , Tochukwu E. Ogri , Muzaffar Qureshi , Kyle Volle , Rushikesh Kamalapurkar

In this paper the stability of a closed-loop cascade control system in the trajectory tracking task is addressed. The considered plant consists of underlying second-order fully actuated perturbed dynamics and the first order system which…

Systems and Control · Electrical Eng. & Systems 2020-02-05 Radosław Patelski , Dariusz Pazderski

The Linear Parameter-Varying (LPV) framework has long been used to guarantee performance and stability requirements of nonlinear (NL) systems mainly through the $\mathcal{L}_2$-gain concept. However, recent research has pointed out that…

Systems and Control · Electrical Eng. & Systems 2020-05-14 P. J. W. Koelewijn , R. Tóth , H. Nijmeijer

This work proposes a new adaptive-robust control (ARC) architecture for a class of uncertain Euler-Lagrange (EL) systems where the upper bound of the uncertainty satisfies linear in parameters (LIP) structure. Conventional ARC strategies…

Systems and Control · Computer Science 2018-05-10 Spandan Roy , Sayan Basu Roy , Indra Narayan Kar

Model Reference Adaptive Control based on Lyapunov stability theory is developed for gust load alleviation of nonlinear aeroelastic systems. The controller operates on a nonlinear reduced-order model derived from Taylor series expansion and…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Nikolaos D. Tantaroudas , Guanqun Gai , Ilias Karachalios

In this paper, we propose a chance constrained stochastic model predictive control scheme for reference tracking of distributed linear time-invariant systems with additive stochastic uncertainty. The chance constraints are reformulated…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu

This paper develops a robust fixed time optimization framework for constrained problems that guarantees exact constraint satisfaction and convergence to KKT points within fixed time , independent of initial conditions. The approach treats…

Optimization and Control · Mathematics 2026-05-27 Baby Diana , Priyanka Singh , Shyam Kamal , Sandip Ghosh , Bijnan Bandyopadhyay

Infinite-time nonlinear optimal regulation control is widely utilized in aerospace engineering as a systematic method for synthesizing stable controllers. However, conventional methods often rely on linearization hypothesis, while recent…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Han Wang , Di Wu , Lin Cheng , Shengping Gong , Xu Huang

Model predictive control solves a constrained optimization problem online in order to compute an implicit closed-loop control policy. Recursive feasibility -- guaranteeing that the optimal control problem will have a solution at every time…

Optimization and Control · Mathematics 2024-10-16 Jacob W. Knaup , Panagiotis Tsiotras

In this paper, a new control scheme, called as additive-decomposition-based tracking control, is proposed to solve the output feedback tracking problem for a class of systems with measurable nonlinearities and unknown disturbances. By the…

Adaptation and Self-Organizing Systems · Physics 2020-03-10 Quan Quan , Kai-Yuan Cai , Hai Lin

Stable aerial manipulation during dynamic tasks such as object catching, perching, or contact with rigid surfaces necessarily requires compliant behavior, which is often achieved via impedance control. Successful manipulation depends on how…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Amitabh Sharma , Saksham Gupta , Shivansh Pratap Singh , Rishabh Dev Yadav , Hongyu Song , Wei Pan , Spandan Roy , Simone Baldi

This paper presents a theoretical overview of a Neural Contraction Metric (NCM): a neural network model of an optimal contraction metric and corresponding differential Lyapunov function, the existence of which is a necessary and sufficient…

Machine Learning · Computer Science 2021-10-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques Slotine , Chuchu Fan

In this paper, synchronization of fractional order Coullet system with precise and also unknown parameters are studied. The proposed method which is based on the adaptive backstepping, has been developed to synchronize two chaotic systems…

Chaotic Dynamics · Physics 2012-06-12 T. M. Shahiri , A. Ranjbar , R. Ghaderi , M. Karami , S. H. Hosseinnia

An adaptive controller with bounded l2-gain from disturbances to errors is derived for linear time-invariant systems with uncertain parameters restricted to a finite set. The gain bound refers to the closed loop system, including the…

Optimization and Control · Mathematics 2024-04-09 Anders Rantzer

Symbiotic control synergistically integrates fixed-gain control and adaptive learning architectures to mitigate system uncertainties more predictably than adaptive learning alone and without requiring prior knowledge of uncertainty bounds…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Emre Yildirim , Tansel Yucelen , John T. Hrynuk

This paper studies control synthesis for a general class of nonlinear, control-affine dynamical systems under additive disturbances and state-estimation errors. We enforce forward invariance of static and dynamic safe sets and convergence…

Optimization and Control · Mathematics 2021-04-14 Kunal Garg , Dimitra Panagou

This paper proposes a nonlinear control architecture for flexible aircraft simultaneous trajectory tracking and load alleviation. By exploiting the control redundancy, the gust and maneuver loads are alleviated without degrading the…

Systems and Control · Electrical Eng. & Systems 2021-05-28 Xuerui Wang , Tigran Mkhoyan , Roeland De Breuker