Stochastic Modeling and Multi Regime GNC Optimization for the Stellaris RS-1 Reusable Launch Vehicle (RLV) via Nonlinear 6-DOF Dynamics and Integrated PID-MPC Architectures in MATLAB & Simulink

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Abstract Rocket takeoff and landing are among the most critical phases of a mission, requiring precise control under highly dynamic and nonlinear conditions. This study presents a comprehensive modeling and simulation framework for rocket ascent and descent using MATLAB and Simulink. A physics based mathematical model incorporating thrust, drag, gravity, and variable mass dynamics is developed to represent rocket motion. Advanced control strategies, including PID, Linear Quadratic Regulator (LQR), and Model Predictive Control (MPC), are implemented to regulate key flight parameters such as altitude, velocity, and attitude. The integrated Simulink model enables closed loop simulations of takeoff, gravity turn, and controlled landing, with performance evaluated under realistic disturbances. Results demonstrate stable trajectory tracking, smooth attitude transitions, and effective disturbance rejection. The study highlights the capability of modern control techniques in enhancing the reliability and precision of reusable rocket operations, providing valuable insights for the design and optimization of autonomous guidance and control systems.
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Stochastic Modeling and Multi Regime GNC Optimization for the Stellaris RS-1 Reusable Launch Vehicle (RLV) via Nonlinear 6-DOF Dynamics and Integrated PID-MPC Architectures in MATLAB & Simulink | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Stochastic Modeling and Multi Regime GNC Optimization for the Stellaris RS-1 Reusable Launch Vehicle (RLV) via Nonlinear 6-DOF Dynamics and Integrated PID-MPC Architectures in MATLAB & Simulink Sadiq Ali Mir, Suhana Arsh, Inchara N K This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9191125/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Rocket takeoff and landing are among the most critical phases of a mission, requiring precise control under highly dynamic and nonlinear conditions. This study presents a comprehensive modeling and simulation framework for rocket ascent and descent using MATLAB and Simulink. A physics based mathematical model incorporating thrust, drag, gravity, and variable mass dynamics is developed to represent rocket motion. Advanced control strategies, including PID, Linear Quadratic Regulator (LQR), and Model Predictive Control (MPC), are implemented to regulate key flight parameters such as altitude, velocity, and attitude. The integrated Simulink model enables closed loop simulations of takeoff, gravity turn, and controlled landing, with performance evaluated under realistic disturbances. Results demonstrate stable trajectory tracking, smooth attitude transitions, and effective disturbance rejection. The study highlights the capability of modern control techniques in enhancing the reliability and precision of reusable rocket operations, providing valuable insights for the design and optimization of autonomous guidance and control systems. Rocket dynamics takeoff landing control systems MATLAB Simulink PID MPC Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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