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This paper is concerned with the problem of robust reliable control for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type. The parameter uncertainties are assumed to be norm-bounded.…

Dynamical Systems · Mathematics 2012-10-10 Shipei Huang , Zhengrong Xiang

Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

Systems and Control · Computer Science 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

In this paper an attempt is made to extend the concept of the exponentially stable adaptive control to one class of multi-input-multi-output (MIMO) plants with matched nonlinearity and unknown piecewise constant parameters. Within the…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Anton Glushchenko , Konstantin Lastochkin

Feedback is a most important concept in control systems, its main purpose is to deal with internal and/or external uncertainties in dynamical systems, by using the on-line observed information. Thus, a fundamental problem in control theory…

Optimization and Control · Mathematics 2007-05-23 Lei Guo

Using a Liao-type exponent, we study the stability of a time-varying nonlinear switching system.

Systems and Control · Computer Science 2015-03-19 Xiongping Dai , Yu Huang , Mingqing Xiao

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

Optimization and Control · Mathematics 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

We provide a method to design adaptive controllers for nonlinear systems using model predictive control (MPC). By combining a certainty-equivalent MPC formulation with least-mean-square parameter adaptation, we obtain an adaptive controller…

Optimization and Control · Mathematics 2026-03-19 Johannes Köhler

Feedback optimization optimizes the steady state of a dynamical system by implementing optimization iterations in closed loop with the plant. It relies on online measurements and limited model information, namely, the input-output…

Optimization and Control · Mathematics 2025-09-09 Winnie Chan , Zhiyu He , Keith Moffat , Saverio Bolognani , Michael Muehlebach , Florian Dörfler

This paper considers the problem of controlling a piecewise continuously differentiable system subject to time-varying uncertainties. The uncertainties are decomposed into a time-invariant, linearly-parameterized portion and a time-varying…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Ying-Chun Chen , Craig Woolsey

This paper deals with the problem of formulating an adaptive Model Predictive Control strategy for constrained uncertain systems. We consider a linear system, in presence of bounded time varying additive uncertainty. The uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-04-13 Monimoy Bujarbaruah , Xiaojing Zhang , Marko Tanaskovic , Francesco Borrelli

A necessary and sufficient condition, expressed simply as the DC loop gain (ie the loop gain at zero frequency) being less than unity, is given in this paper to guarantee the internal stability of a feedback interconnection of Linear…

Optimization and Control · Mathematics 2014-01-31 A. Lanzon , I. R. Petersen

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

The stable combination of optimal feedback policies with online learning is studied in a new control-theoretic framework for uncertain nonlinear systems. The framework can be systematically used in transfer learning and sim-to-real…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Brett T. Lopez , Jean-Jacques E. Slotine

This note studies the exponential convergence of input-output signals of discrete-time nonlinear systems composed of a feedback interconnection of a linear time-invariant system and a nonlinear uncertainty. Both the open-loop subsystems are…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Lanlan Su , Di Zhao , Sei Zhen Khong

Under a regularity assumption we prove that reachability in fixed time for nonlinear control systems is robust under control sampling.

Optimization and Control · Mathematics 2020-06-22 Loïc Bourdin , Emmanuel Trélat

This paper introduces an uncertainty compensation-based robust adaptive model predictive control (MPC) framework for linear systems with nonlinear time-varying uncertainties. The framework integrates an L1 adaptive controller to compensate…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Ran Tao , Pan Zhao , Ilya Kolmanovsky , Naira Hovakimyan

This paper presents a scheme to design a tracking controller for a class of uncertain nonlinear systems using a robust feedback linearization approach. The scheme is composed of two steps. In the first step, a linearized uncertainty model…

Systems and Control · Computer Science 2012-03-01 Obaid Ur Rehman , Ian R. Petersen , Barıs Fidan

In this paper, we study the problem of stabilizing switched linear systems when only limited information about the state and the mode of the system is available, which occurs in many applications involving networked switched systems (such…

Optimization and Control · Mathematics 2020-09-11 Guillaume O. Berger , Raphaël M. Jungers

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Demelash Abiye Deguale

This paper is concerned with robust instability analysis of linear feedback systems subject to a dynamic uncertainty. The work is motivated by, and provides a basic foundation for, a more challenging problem of analyzing persistence of…

Systems and Control · Electrical Eng. & Systems 2021-01-28 Shinji Hara , Tetsuya Iwasaki , Yutaka Hori