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Summary
Siciliano, Sciavicco, Villani, and Oriolo’s graduate textbook on robot modelling, planning and control (Springer, 2009). Covers the mathematical foundations of robot manipulators from kinematics through dynamics to trajectory planning and control. Widely used reference in robotics curricula.
Siciliano、Sciavicco、Villani 和 Oriolo 的研究生機器人建模、規劃和控制教材（Springer，2009 年）。涵蓋從運動學到動力學到軌跡規劃和控制的機器人操控臂數學基礎。廣泛用於機器人學課程的參考書。
Prerequisites
- Linear algebra (rotation matrices, homogeneous transformations)
- Classical mechanics (rigid body dynamics)
- Control theory (state space, feedback control)
- Calculus and differential equations
Core Idea
Systematic treatment of robot arm modelling and control:
- Kinematics: Denavit-Hartenberg convention for direct/inverse kinematics, Jacobians, singularities, manipulability
- Dynamics: Newton-Euler and Lagrange-Euler formulations; inertia, Coriolis, gravity terms
- Trajectory planning: joint-space and task-space planning; polynomials, via points
- Motion control: independent joint PID, computed-torque, impedance control
- Force control: hybrid force/motion control
- Mobile robots: kinematic models for wheeled robots
Results
Standard reference for graduate robotics courses; comprehensive derivations with emphasis on analytical rigor and practical applicability.
Limitations
Unstated:
- Focus on rigid-body serial manipulators; limited coverage of soft robots, compliant mechanisms
- Pre-learning-era: no coverage of neural/learning-based control; purely model-based methods
- Mathematical treatment assumes clean analytical models; real hardware has calibration errors, friction, flexibility
Reproducibility
- Code: No computational examples; analytical derivations only
- Companion MATLAB exercises available in some course materials
Insights
This textbook is the standard analytical robotics reference — it provides the kinematic and dynamic foundations that underlie all robot learning research (sim-to-real, imitation learning, RL). Understanding Jacobians, manipulability ellipsoids, and computed-torque control is prerequisite knowledge for interpreting robot learning papers. The book’s rigor (full derivations from first principles) makes it more durable than newer applied-ML-for-robotics texts, which build on these foundations.
Connections
Raw Excerpt
The goal of this textbook is to provide a rigorous mathematical foundation for modelling, planning and control of robot manipulators, starting from the fundamental concepts of position and orientation representation.