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This article addresses the nonadaptive and robust output regulation problem of the general nonlinear output feedback system with error output. The global robust output regulation problem for a class of general output feedback nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-06-26 Shimin Wang , Martin Guay , Richard D. Braatz

Considering a nonlinear system in Byrnes-Isidori form that is subject to unbounded perturbations, we apply Lyapunov redesign via feedback linearisation for trajectory tracking. Leveraging the ideas of tube-based geometric characterisation…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Niclas Tietze , Kai Wulff , Johann Reger

From the structural perspective, this paper investigates a new formulation of the concept of input-to-state stability (ISS), and based on this formulation, proposes a new stability analysis approach for a class of interconnected system. The…

Systems and Control · Computer Science 2015-05-05 Yong Wang

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

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

Immersion and Invariance is a technique for the design of stabilizing and adaptive controllers and state observers for nonlinear systems. In all these applications the problem considered is the stabilization of equilibrium points. Motivated…

Systems and Control · Computer Science 2019-12-03 Romeo Ortega , Bowen Yi , Jose Guadalupe Romero , Alessandro Astolfi

In this paper, we focus on the problem about direct way to design a stable controller for nonlinear system. A framework of learning controller with Lyapunov-based constraint is proposed, which is intended to transform designing and analyis…

Systems and Control · Computer Science 2019-03-11 Me Le , Chi Yanxun , Li Zhiwei , Xu Dongfu , Zhang Yulong

We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our…

Optimization and Control · Mathematics 2007-05-23 Michael Malisoff , Frederic Mazenc

This paper provides an exponential stability result for the adaptive anti-unwinding attitude tracking control problem of a rigid body with uncertain but constant inertia parameters, without requiring the satisfaction of persistent…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Xiaodong Shao , Qinglei Hu , Daochun Li , Yang Shi , Bowen Yi

Alignment of the strapdown inertial navigation system (INS) has strong nonlinearity, even worse when maneuvers, e.g., tumbling techniques, are employed to improve the alignment. There is no general rule to attack the observability of a…

Robotics · Computer Science 2012-01-19 Yuanxin Wu , Hongliang Zhang , Meiping Wu , Xiaoping Hu , Dewen Hu

This paper proposes a composite adaptive control architecture using dual adaptation scheme for dynamical systems comprising time-varying uncertain parameters. While majority of the adaptive control schemes in literature address the case of…

Systems and Control · Electrical Eng. & Systems 2022-06-06 Raghavv Goel , Sayan Basu Roy

This paper solves the problem of station-keeping control of a surface vessel under conditions of sinusoidal disturbances with unknown parameters. The proposed control algorithm is based on the geometric approach with the use of the adaptive…

Systems and Control · Electrical Eng. & Systems 2021-10-20 O. I. Borisov , F. B. Gromova , A. Iu. Zhivitckii , A. A. Pyrkin

Input-to-state stability (ISS) unifies the stability and robustness in one notion, and serves as a basis for broad areas of nonlinear control theory. In this contribution, we covered the most fundamental facts in the infinite-dimensional…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Andrii Mironchenko , Christophe Prieur

We propose a technique for the design and analysis of decentralized adaptation algorithms in interconnected dynamical systems. Our technique does not require Lyapunov stability of the target dynamics and allows nonlinearly parameterized…

Optimization and Control · Mathematics 2007-05-23 Ivan Tyukin , Cees van Leeuwen

This brief addresses the design of a Nonlinear Model Predictive Control (NMPC) strategy for exponentially incremental Input-to-State Stable (ISS) systems. In particular, a novel formulation is devised, which does not necessitate the onerous…

Systems and Control · Electrical Eng. & Systems 2023-11-02 Fabio Bonassi , Alessio La Bella , Marcello Farina , Riccardo Scattolini

The Linear Parameter-Varying (LPV) framework has been introduced with the intention to provide stability and performance guarantees for analysis and controller synthesis for Nonlinear (NL) systems via convex methods. By extending results of…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Patrick J. W. Koelewijn , Roland Tóth , Henk Nijmeijer , Siep Weiland

We develop an indirect-adaptive model predictive control algorithm for uncertain linear systems subject to constraints. The system is modeled as a polytopic linear parameter varying system where the convex combination vector is constant but…

Systems and Control · Computer Science 2015-09-25 Stefano Di Cairano

Input-to-state stability (ISS) unifies global asymptotic stability with respect to variations of initial conditions with robustness with respect to external disturbances. First, we present Lyapunov characterizations for input-to-state…

Optimization and Control · Mathematics 2024-06-27 Andrii Mironchenko

The concept of input-to-state stability (ISS) proposed in the late 1980s is one of the central notions in robust nonlinear control. ISS has become indispensable for various branches of nonlinear systems theory, such as robust stabilization…

Optimization and Control · Mathematics 2024-11-14 Rahma Heni

This paper is devoted to two issues. One is to provide Lyapunov-based tools to establish integral input-to-state stability (iISS) and input-to-state stability (ISS) for some classes of nonlinear parabolic equations. The other is to provide…

Dynamical Systems · Mathematics 2014-10-14 Andrii Mironchenko , Hiroshi Ito