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A novel adaptive control approach is proposed to solve the globally asymptotic state stabilization problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback…

系统与控制 · 计算机科学 2016-09-29 Mingzhe Hou , Zongquan Deng , Guangren Duan

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…

最优化与控制 · 数学 2026-03-19 Johannes Köhler

We present stability conditions for deterministic time-varying nonlinear discrete-time systems whose inputs aim to minimize an infinite-horizon time-dependent cost. Global asymptotic and exponential stability properties for general…

系统与控制 · 电气工程与系统科学 2023-08-28 Sifeddine Benahmed , Romain Postoyan , Mathieu Granzotto , Lucian Buşoniu , Jamal Daafouz , Dragan Nešić

The performance of model-based control techniques strongly depends on the quality of the employed dynamics model. If strong guarantees are desired, it is therefore common to robustly treat all possible sources of uncertainty, such as model…

系统与控制 · 电气工程与系统科学 2022-05-23 Elena Arcari , Andrea Iannelli , Andrea Carron , Melanie N. Zeilinger

A criterion on the asymptotic stability of fractional-order systems with incomensurate orders is proposed in this paper. Existing methods always assume order parameters be rational numbers or the ratios of any two orders be rational…

动力系统 · 数学 2022-02-22 Jing Yang , Xiaorong Hou

This paper proposes a control strategy consisting of a robust controller and an Echo State Network (ESN) based control law for stabilizing a class of uncertain nonlinear discrete-time systems subject to persistent disturbances. Firstly, the…

系统与控制 · 电气工程与系统科学 2024-10-31 A. Banderchuk , D. Coutinho , E. Camponogara

Contraction-Based Nonlinear Model Predictive Control (NMPC) formulations are attractive because of the generally short prediction horizons they require and the needless use of terminal set computation that are commonly necessary to…

系统与控制 · 计算机科学 2016-06-03 Mazen Alamir

This paper presents an adaptive horizon multi-stage model-predictive control (MPC) algorithm. It establishes appropriate criteria for recursive feasibility and robust stability using the theory of input-to-state practical stability (ISpS).…

最优化与控制 · 数学 2023-06-23 Zawadi Mdoe , Dinesh Krishnamoorthy , Johannes Jäschke

This paper proposes a finitely terminating algorithm to solve reach-and-stay control problems for nonlinear systems. The algorithm is guaranteed to return a control strategy if the specification is robustly realizable. Such a feature is…

最优化与控制 · 数学 2020-04-17 Yinan Li , Jun Liu

In this work, we address the output--feedback control problem for nonlinear systems under bounded disturbances using a moving horizon approach. The controller is posed as an optimization-based problem that simultaneously estimates the state…

系统与控制 · 电气工程与系统科学 2024-09-23 Nestor N. Deniz , Guido Sanchez , Marina H. Murillo , Leonardo L. Giovanini

This paper deals with the analysis and synthesis of a model predictive control (MPC) strategy used in connection with level control in conically shaped industrial liquid storage tanks. The MPC is based on a dynamical non-linear model…

系统与控制 · 计算机科学 2018-10-03 Martin Klaučo , Ľuboš Čirka

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

系统与控制 · 计算机科学 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

This work establishes the first rigorous stability guarantees for approximate predictors in delay-adaptive control of nonlinear systems, addressing a key challenge in practical implementations where exact predictors are unavailable. We…

系统与控制 · 电气工程与系统科学 2025-10-01 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

This paper is concerned with the problem of Model Predictive Control and Rolling Horizon Control of discrete-time systems subject to possibly unbounded random noise inputs, while satisfying hard bounds on the control inputs. We use a…

最优化与控制 · 数学 2010-09-08 Peter Hokayem , Debasish Chatterjee , John Lygeros

This paper focuses on adaptive control of the discrete-time linear quadratic regulator (adaptive LQR). Recent literature has made significant contributions in proving non-asymptotic convergence rates, but existing approaches have a few…

系统与控制 · 电气工程与系统科学 2026-04-27 Peter A. Fisher , Anuradha M. Annaswamy

Assessment of the degree of boundedness/stability of multidimensional nonlinear systems with time-dependent and nonperiodic coefficients is an important problem in various applied areas which has no adequate resolution yet. Most of the…

动力系统 · 数学 2022-06-07 Mark A. Pinsky

Real-time nonlinear stabilization techniques are often limited by inefficient or intractable online and/or offline computations, or a lack guarantee for global stability. In this paper, we explore the use of Control Contraction Metrics…

系统与控制 · 计算机科学 2017-11-07 Karen Leung , Ian R. Manchester

We consider the design of fast and reliable neural network (NN)-based approximations of traditional stabilizing controllers for linear systems with polytopic uncertainty, including control laws with variable structure and those based on a…

系统与控制 · 电气工程与系统科学 2024-04-04 Filippo Fabiani , Paul J. Goulart

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…

最优化与控制 · 数学 2019-03-20 Sérgio S. Rodrigues

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…

系统与控制 · 计算机科学 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis