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[About This Video] Imagine a car that never rolls in corners, never dives when braking, and glides over bumpy roads—all without an expensive active suspension system, relying solely on four in-wheel motors! In today's video, we are breaking down a brilliant paper by Toyota Chief Engineer Etsuo Katsuyama: "Development of Decoupled 3D Moment Control by In-Wheel Motor". This is Part 1 of our two-part series. We will take you to the whiteboard, starting from the basic physical principles, and walk you through the hardcore mathematical derivations step-by-step. Let's see how a few lines of elegant math can completely hack a car's physical limits! [Key Topics Covered / Timestamps] 00:00 Introduction: How In-Wheel Motors Change Vehicle Suspension and Attitude Control 00:44 Vehicle DOF Control: Longitudinal Motion Equations 01:34 The Core Breakthrough: Achieving Heave Control via Suspension Rotational Center & Driving/Braking Forces 03:57 Derivation of Roll Moment Control Equations 05:07 Derivation of Pitch Moment Control Equations 05:53 Derivation of Yaw Moment Control Equations 06:48 Key Finding: The Motion Coupling Phenomenon between Heave and Pitch [Coming Up Next...] In the next episode (Part 2), we will explain how to plug these control strategies into kinematic equations and deeply explore the author's highly innovative "Motion Decoupling Strategy". [Join the Discussion!] There are quite a few mathematical formulas and suspension geometry derivations involved here, so please feel free to rewatch the section a few times. If you have any questions about the derivations, or if you want to share your thoughts on autonomous vehicle attitude control, just leave a comment below! 👉 If you enjoy hardcore engineering analysis like this, please don't forget to LIKE, SUBSCRIBE, and hit the notification bell. See you in the next one!