Related Experiment Video
Updated: Jul 19, 2025

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy
Published on: October 14, 2017
Closed-loop nonlinear optimal control design for flapping-wing flying robot (1.6 m wingspan) in indoor confined
Saeed Rafee Nekoo1, Anibal Ollero2
1The GRVC Robotics Lab., Departamento de Ingeniería de Sistemas y Automática, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Seville, 41092, Spain.
This study introduces a novel closed-loop control for flapping-wing flying robots (FWFRs), achieving successful autonomous flight control in simulations and experiments. The nonlinear optimal control design enhances robot stability and maneuverability.
Area of Science:
- Robotics and Autonomous Systems
- Aerospace Engineering
- Control Theory
Background:
- Flapping-wing technology is advancing in unmanned aerial robotics for various applications.
- Current research lacks closed-loop control strategies for autonomous flapping-wing flying robots (FWFRs).
- Complex dynamics of FWFRs necessitate simplified yet accurate models for advanced control implementation.
Purpose of the Study:
- To design and implement a nonlinear optimal closed-loop control system for a flapping-wing flying robot (FWFR).
- To develop a simplified dynamic model for FWFRs suitable for nonlinear control.
- To investigate the effect of flapping motion on FWFR behavior using simulation and experimental validation.
Main Methods:
- A nonlinear optimal closed-loop control design using the state-dependent Riccati equation (SDRE) was developed.
- An alternative dynamic modeling approach provided equivalent dynamics for translation and a simplified model for orientation.
- The SDRE controller was applied to the derived model and validated through simulations and experiments on a 1.6 m wingspan robot bird.
Main Results:
- The proposed SDRE controller successfully controlled the underactuated six-degree-of-freedom flapping-wing robot in both position and orientation.
- Simulations demonstrated the effectiveness of the simplified dynamic model and the control strategy.
- Experimental results confirmed the successful autonomous flight control in an indoor testbed using a motion capture system.
Conclusions:
- The study successfully demonstrated a nonlinear optimal closed-loop control strategy for FWFRs.
- The developed simplified dynamic model and SDRE controller enable stable and precise autonomous flight.
- This research advances the field of flapping-wing robotics, paving the way for more sophisticated autonomous aerial systems.
Related Concept Videos
Open and closed-loop control systems
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
Controller Configurations
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...
One-Degree-of-Freedom System
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
Feedback control systems
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
PI Controller: Design
Laminar Flow: Problem Solving

