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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

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

Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) is a nonlinear control technique that assigns a port-Hamiltonian (pH) structure to a controlled system using a state-feedback law. While IDA-PBC has been extensively…

Robotics · Computer Science 2026-01-06 Nicolò Botteghi , Owen Brook , Urban Fasel , Federico Califano

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

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

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

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

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

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 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

The key idea behind PID Passivity-based Control (PID-PBC) is to leverage the passivity property of PIDs (for all positive gains) and wrap the PID controller around a passive output to ensure global stability in closed-loop. However, the…

Systems and Control · Electrical Eng. & Systems 2025-10-15 Alessio Moreschini , Wei He , Romeo Ortega , Yiheng Lu , Tao Li

The motivation for this paper is the implementation of nonlinear state feedback control, designed based on the continuous-time plant model, in a sampled control loop under relatively slow sampling. In previous work we have shown that using…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Le Zhang , Paul Kotyczka

This paper addresses the attitude tracking of a rigid body using a quaternion description. Global finite-time attitude controllers are designed with three types of measurements, namely, full states, attitude plus constant-biased angular…

Optimization and Control · Mathematics 2017-12-12 Haichao Gui , George Vukovich

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

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

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

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

This paper investigates the robust global attitude stabilization problem for a rigid-body system using quaternion-based feedback. We propose a novel synergistic hybrid feedback with the following notable features: (1) It demonstrates…

Systems and Control · Electrical Eng. & Systems 2024-08-05 Xin Tong , Qingpeng Ding , Haiyang Fang , Shing Shin Cheng

This work proposes a quaternion-based sliding variable that describes exponentially convergent error dynamics for any forward complete desired attitude trajectory. The proposed sliding variable directly operates on the non-Euclidean space…

Robotics · Computer Science 2020-11-10 Brett T. Lopez , Jean-Jacques E. Slotine

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
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