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Interconnection and damping assignment passivity-based control (IDA-PBC) is an excellent method to stabilize mechanical systems in the Hamiltonian formalism. In this paper, several improvements are made on the IDA-PBC method. The…

Optimization and Control · Mathematics 2015-04-03 Dong Eui Chang

In this work we exploit the universal approximation property of Neural Networks (NNs) to design interconnection and damping assignment (IDA) passivity-based control (PBC) schemes for fully-actuated mechanical systems in the port-Hamiltonian…

Systems and Control · Electrical Eng. & Systems 2022-03-28 Santiago Sanchez-Escalonilla , Rodolfo Reyes-Baez , Bayu Jayawardhana

In this paper, we restructure the Neural Interconnection and Damping Assignment - Passivity Based Control (Neural IDA-PBC) design methodology, and we formally analyze its closed-loop properties. Neural IDA-PBC redefines the IDA-PBC design…

Systems and Control · Electrical Eng. & Systems 2024-09-25 Santiago Sanchez-Escalonilla , Samuele Zoboli , Bayu Jayawardhana

Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) is a well-established stabilization technique for affine nonlinear systems. However, its application is generally hindered by the requirement of solving a set of…

Optimization and Control · Mathematics 2026-01-06 Ziheng Jiao , Chengshuai Wu , Bo Fan , Meng Zhang , Romeo Ortega

To extend the realm of application of the well known controller design technique of interconnection and damping assignment passivity-based control (IDA-PBC) of mechanical systems two modifications to the standard method are presented in…

Optimization and Control · Mathematics 2015-06-26 Alejandro Donaire , Romeo Ortega , Jose Guadalupe Romero

In this paper we propose a variation of the widely popular Interconnection-and-Damping-Assigment Passivity-Based Control (IDA-PBC) based on Poincare's Lemma to design output feedback globally stabilizing controllers for two dimensional…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Rafael Cisneros , Leyan Fang , Wei He , Romeo Ortega

Finding the general solution of partial differential equations (PDEs) is essential for controller design in newly developed methods. Interconnection and damping assignment passivity based control (IDA-PBC) is one of such methods in which…

Systems and Control · Electrical Eng. & Systems 2022-05-17 M. Reza J. Harandi , Hamid. D. Taghirad

Nonholonomic mechanical systems encompass a large class of practically interesting robotic structures, such as wheeled mobile robots, space manipulators, and multi-fingered robot hands. However, few results exist on the cooperative control…

Robotics · Computer Science 2021-06-28 Anastasios Tsolakis , Tamas Keviczky

Interconnection and damping assignment, passivity-based control (IDA-PBC) has proven to be a successful control technique for the stabilisation of many nonlinear systems. In this paper, we propose a method to robustify a system which has…

Systems and Control · Computer Science 2018-01-22 Joel Ferguson , Alejandro Donaire , Romeo Ortega , Richard H. Middleton

In this paper, a discrete-time I&I-based adaptive IDA-PBC controller for uncertain nonlinearly parameterized port-controlled Hamiltonian systems (PCH), where the parameter uncertainties are assumed in the energy function, is constructed. A…

Systems and Control · Electrical Eng. & Systems 2024-06-07 Mohammed Alkrunz , Yaprak Yalcin

This paper proposes an extended interconnection and damping assignment passivity-based control technique (IDA-PBC) to control the pressure dynamics in the fuel delivery subsystem (FDS) of proton exchange membrane fuel cells. The fuel cell…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Lalitesh Kumar , Jian Chen , Chengshuai Wu , Yuzhu Chen , Arjan van der Schaft

Passivity-based control ensures system stability by leveraging dissipative properties and is widely applied in electrical and mechanical systems. Port-Hamiltonian systems (PHS), in particular, are well-suited for interconnection and damping…

Systems and Control · Electrical Eng. & Systems 2025-05-06 Thomas Beckers , Leonardo Colombo

In this paper, we propose a new sampled-data controller for stabilization of the attitude dynamics at a desired constant configuration. The design is based on discrete-time interconnection and damping assignment (IDA) passivity-based…

Systems and Control · Electrical Eng. & Systems 2022-05-09 Mattia Mattioni , Alessio Moreschini , Salvatore Monaco , Dorothée Normand-Cyrot

Passivity-based control (PBC) for port-Hamiltonian systems provides an intuitive way of achieving stabilization by rendering a system passive with respect to a desired storage function. However, in most instances the control law is obtained…

Systems and Control · Computer Science 2019-03-29 Olivier Sprangers , Gabriel A. D. Lopes , Robert Babuska

Although the stabilization of underactuated systems remains a challenging problem, the total energy shaping approach provides a general framework for addressing this objective. However, the practical implementation of this method is…

Systems and Control · Electrical Eng. & Systems 2026-05-12 M. Reza J. Harandi , Mehrzad Namvar

Application of IDA-PBC to mechanical systems has received much attention in recent decades, but its application is still limited by the solvability of the so-called matching conditions. In this work, it is shown that total energy-shaping…

Systems and Control · Electrical Eng. & Systems 2023-01-18 Joel Ferguson

Stabilization of a quadrotor without a controller based on cascade structure is a challenging problem. Besides, due to the dynamics and the number of underactuation, an energy shaping controller has not been designed in 3D for a quadrotor.…

Systems and Control · Electrical Eng. & Systems 2024-08-09 M. Reza J. Harandi , Babak Salamat , Gerhard Elsbacher

Total energy shaping through interconnection and damping assignment passivity-based control (IDA-PBC) provides a powerful and systematic framework for stabilizing underactuated mechanical systems. Despite its theoretical appeal,…

Systems and Control · Electrical Eng. & Systems 2026-02-03 M. Reza J. Harandi , Mehrzad Namvar

Port-Hamiltonian systems (PHS) and interconnection and damping assignment passivity-based control (IDA-PBC) have achieved broad success in modelling and stabilisation of physical systems. However, the absence of a dedicated scalar potential…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Jinjun Jia , Yuchen Liao , Kang An , Xun Yan , Tiedong Zhang , Dapeng Jiang

Methods from controlled Lagrangians, double bracket dissipation and interconnection and damping assignment -- passivity based control (IDA-PBC) are used to construct nonlinear feedback controls which (asymptotically) stabilize previously…

Mathematical Physics · Physics 2024-04-09 Simon Hochgerner
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