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This paper studies the immersion and invariance (I&I) adaptive tracking problem for a class of nonlinear systems with nonlinear parameterization in the ISS framework. Under some mild assumptions, a novel I&I adaptive control algorithm is…

Optimization and Control · Mathematics 2021-03-01 Lei Wang , Christopher M. Kellett

Underactuated systems like sea vessels have degrees of motion that are insufficiently matched by a set of independent actuation forces. In addition, the underlying trajectory-tracking control problems grow in complexity in order to decide…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Mohammed Abouheaf , Wail Gueaieb , Md. Suruz Miah , Davide Spinello

In this paper, an adaptive super-twisting controller is designed for an agile maneuvering quadrotor unmanned aerial vehicle to achieve accurate trajectory tracking in the presence of external disturbances. A cascaded control architecture is…

Systems and Control · Electrical Eng. & Systems 2023-09-15 D. M. K. K. Venkateswara Rao , Hamed Habibi , Jose Luis Sanchez-Lopez , Prathyush P. Menon , Christopher Edwards , Holger Voos

Optimal experiment design for parameter estimation is a research topic that has been in the interest of various studies. A key problem in optimal input design is that the optimal input depends on some unknown system parameters that are to…

Systems and Control · Computer Science 2019-04-17 Lirong Huang , Håkan Hjalmarsson , László Gerencsér

This paper proposes an adaptive tracking strategy with mass-inertia estimation for aerial transportation problems of multi-rotor UAVs. The dynamic model of multi-rotor UAVs with disturbances is firstly developed with a linearly…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Shuyang Shi , Yuzhu Li , Wei Dong

We present an extension of Willems' Fundamental Lemma to the class of multi-input multi-output discrete-time feedback linearizable nonlinear systems, thus providing a data-based representation of their input-output trajectories. Two sources…

Optimization and Control · Mathematics 2023-03-17 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

In this paper we provide a thorough, rigorous theoretical framework to assess optimality guarantees of sampling-based algorithms for drift control systems: systems that, loosely speaking, can not stop instantaneously due to momentum. We…

Robotics · Computer Science 2015-10-28 Edward Schmerling , Lucas Janson , Marco Pavone

This paper conducts a comprehensive study of a classical adaptive control problem: adaptive control of a state-space plant model: $\dot{x}(t) = A x(t) + B u(t)$ in continuous time, or $x(t+1) = A x(t) + B u(t)$ in discrete time, for state…

Systems and Control · Electrical Eng. & Systems 2023-08-07 Gang Tao

This paper addresses the design of finite-dimensional feedback control laws for linear discrete-time fractional-order systems with additive state disturbance. A set of sufficient conditions are provided to guarantee convergence of the state…

Optimization and Control · Mathematics 2019-06-18 Andrea Alessandretti , Sergio Pequito , George J. Pappas , A. Pedro Aguiar

This paper investigates the finite-time adaptive fuzzy tracking control problem for a class of pure-feedback system with full-state constraints. With the help of Mean-Value Theorem, the pure-feedback nonlinear system is transformed into…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ju Wu , Tong Wang , Min Ma

This paper investigates adaptive control of nonlinear robot manipulators with parametric uncertainty. Motivated by generating closed-loop robot dynamics with enhanced transmission capability of a reference torque and with connection to…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Hanlei Wang

Electric throttle valves represent a challenge for control design, as their dynamics involve strong nonlinearities, characterized by an asymmetric hysteresis. Carrying experiments on multiple valves, a large variability in the…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Emmanuel Witrant , Ioan DorÉ Landau , Marie-Pierre Vaillant

In this paper we propose an end-to-end algorithm for indirect data-driven control for bilinear systems with stability guarantees. We consider the case where the collected i.i.d. data is affected by probabilistic noise with possibly…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Nicolas Chatzikiriakos , Robin Strässer , Frank Allgöwer , Andrea Iannelli

Data-driven and adaptive control approaches face the problem of introducing sudden distributional shifts beyond the distribution of data encountered during learning. Therefore, they are prone to invalidating the very assumptions used in…

Systems and Control · Electrical Eng. & Systems 2025-08-25 Mohammad Ramadan , Evan Toler , Mihai Anitescu

Stability theory plays a crucial role in feedback control. However, adaptive control theory requires advanced and specialized stability notions that are not frequently used in standard feedback control theory. The present document is a set…

Optimization and Control · Mathematics 2024-10-23 Iasson Karafyllis , Miroslav Krstic

This research is motivated by the need for effective classification in ice-breaking dynamic simulations, aimed at determining the conditions under which an underwater vehicle will break through the ice. This simulation is extremely…

Methodology · Statistics 2025-06-05 Tian Bai , Dianpeng Wang , Kuangqi Chen , Xu He

This paper formulates adaptive controller design as a minimax dual control problem. The objective is to design a controller that minimizes the worst-case performance over a set of uncertain systems. The uncertainty is described by a set of…

Optimization and Control · Mathematics 2024-09-09 Olle Kjellqvist , Anders Rantzer

We address the problem of output reference tracking for unknown nonlinear multi-input, multi-output systems with relative degree two and bounded-input bounded-state (BIBS) stable internal dynamics. We propose a novel model-free adaptive…

Optimization and Control · Mathematics 2025-12-22 D. Dennstädt , J. Schaa , T. Berger

This paper concerns the problem of adaptive output regulation for multivariable nonlinear systems in normal form. We present a regulator employing an adaptive internal model of the exogenous signals based on the theory of nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Michelangelo Bin , Pauline Bernard , Lorenzo Marconi

In this paper, adaptive set-point regulation controllers for discrete-time nonlinear systems are constructed. The system to be controlled is assumed to have a parametric uncertainty, and an excitation signal is used in order to obtain the…

Optimization and Control · Mathematics 2015-05-25 Shigeru Hanba