Robotics Engineering

RBE 500. FOUNDATIONS OF ROBOTICS

Fundamentals of robotics engineering. Topics include forward and inverse kinematics, velocity
kinematics, introduction to dynamics and control theory, sensors, actuators, basic probabilistic
robotics concepts, fundamentals of computer vision, and robot ethics. In addition, modular
robot programming will be covered, and the concepts learned will be applied using realistic
simulators (Prerequisites: Differential
Equations (MA 2051 or equivalent), Linear
Algebra (MA 2071 or equivalent) and the ability
to program in a high-level language.)

RBE 501. ROBOT DYNAMICS

Foundations and principles of robotic dynamics.
Topics include system
modeling including dynamical modeling of serial arm robots using Newton and Lagrange’s
techniques, dynamical modeling of mobile robots, introduction to dynamics based robot control,
as well as advanced techniques for serial arm forward kinematics, trajectory planning,
singularity and manipulability, and vision-based control. In addition, dynamic simulation techniques will be covered to apply the concepts learned using realistic simulators. An end of term team project
would allow students to apply mastery of the subject to real-world robotic platforms (Prerequisite:
RBE 500 or equivalent.)

RBE 502. ROBOT CONTROL

This course demonstrates the synergy between the control theory and robotics through applications and provides an in-depth coverage of control of manipulators and mobile robots. Topics include linearization, state space modeling and
control of linear and nonlinear systems, feedback control, Lyapunov stability analysis of
nonlinear control systems, set-point control, trajectory and motion control, compliance and
force control, impedance control, adaptive robot control, robust control, and other advanced
control topics. Course projects will emphasize modeling, simulation and practical implementation of control systems for robotic applications. (Prerequisites: RBE 500 or equivalent, Linear algebra; Differential equations; Linear systems and control theory as in ECE 504 or consent of the instructor.)

RBE 521. LEGGED ROBOTICS

Foundations and principles of parallel manipulators and legged robots. Topics include advanced spatial/3D kinematics and dynamics of parallel manipulators and legged robots including workspace analysis, inverse and forward kinematics and dynamics, motion analysis and control, and gait and stability/balance analysis of legged robots. The course will be useful for solving problems dealing with parallel manipulators as well as multi-legged robots including, but not limited to, quadruped robots, hexapod robots and any other types of multi-legged robots. A final term project allows students to show mastery of the subject by designing, analyzing, and simulating parallel and/or legged robots of their choice.

Recommended Background: RBE 500, RBE 501

RBE 522. CONTINUUM ROBOTICS

Continuum robotics focuses on the study of “continuously flexible” robotic arms. This branch of robotics takes inspiration from flexible animal appendages (e.g., elephant trunks and octopus tentacles) to create manipulators capable of complex bending motions. Real-world applications of continuum robots include minimally invasive surgery, industrial inspection, and more generally any scenario that requires manipulation within highly unstructured, confined environments, where traditional rigid-link robotic arms are not suitable for use. This course introduces students to fundamental topics in continuum robot design, modeling, and control. The course culminates in the development of a continuum robot simulator, where students apply the concepts learned in the classroom. Continuum robot platforms will also be available for laboratory/experimental work. Prerequisites: RBE 501 and 502 or equivalent courses.

RBE 526/CS 526. HUMAN-ROBOT INTERACTION

This course focuses on human-robot interaction and social robot learning, exploring the leading research, design principles and technical challenges we face in developing robots capable of operating in realworld human environments. The course will cover a range of multidisciplinary topics, including physical embodiment, mixedinitiative interaction, multimodal interfaces, human-robot teamwork, learning algorithms, aspects of social cognition, and long-term interaction. These topics will be pursued through independent reading, class discussion, and a final project. Units: 3 Prerequisites: Mature programming skills and at least undergraduate level knowledge of Artificial Intelligence, such as CS 4341. No hardware experience is required.) RBE 595 (Synergy of Human & Robot) and the RBE/CS 526 (HumanRobot Interaction) courses are equivalent. A student cannot take and get credit for both courses.

RBE 530. SOFT ROBOTICS

Soft robotics studies “intelligent” machines and devices that incorporate some form of compliance in their mechanics. Elasticity is not a byproduct but an integral part of these systems, responsible for inherent safety, adaptation and part of the computation in this class of robots. This course will cover a number of major topics of soft robotics including but not limited to design and fabrication of soft systems, elastic actuation, embedded intelligence, soft robotic modeling and control, and fluidic power. Students will implement new design and fabrication methodologies of soft robots, read recent literature in the field, and complete a project to supplement the course material. Existing soft robotic platforms will be available for experimental work.
Prerequisites: Differential equations, linear algebra, stress analysis, kinematics, embedded programming.

RBE 533. SMART MATERIALS & ACTUATION

This hands on course covers smart materials and actuation, with an emphasis on electroactive polymer (EAP) based materials and actuators, such as contractile EAPs, dielectric elastomers (DEAs), and ion-polymer metal composites (IPMCs). Piezoelectric materials and shape memory alloys (SMAs) are included in the course, as well as pneumatic actuation. Because smart materials and electroactivity are relatively new fields, the course involves literature reviews. Each team project will involve two different types of smart materials, where at least one smart material is electroactive. For the team projects, the class will be organized into groups, ensuring that each group had a mixture of different disciplines to promote lively discussion. Two papers will be required, one as a literature review and one about aspects of the team project. Much of the theory and applied research is yet to be done with smart materials, so this is a very creative course that implements design into the projects, which can include biomimicry. Units: 3

RBE 549. COMPUTER VISION

This course examines current issues in the computer
implementation of visual perception. Topics
include image formation, edge detection, segmentation,
shape-from-shading, motion, stereo,
texture analysis, pattern classification and object
recognition. We will discuss various representations
for visual information, including sketches
and intrinsic images. (Prerequisites: CS 534,
CS 543, CS 545, or the equivalent of one of these
courses.)

RBE 550. MOTION PLANNING

Motion planning is the study of algorithms that reason about the movement of physical or virtual entities. These algorithms can be used to generate sequences of motions for many kinds of robots, robot teams, animated characters, and even molecules. This course will cover the major topics of motion planning including (but not limited to) planning for manipulation with robot arms and hands, mobile robot path planning with non-holonomic constraints, multi-robot path planning, high-dimensional sampling-based planning, and planning on constraint manifolds. Students will implement motion planning algorithms in open-source frameworks, read recent literature in the field, and complete a project that draws on the course material. The PR2 robot will be available as a platform for class projects. Physical robot platforms will be available for class projects.
Prerequisites: Undergraduate Linear Algebra, experience with 3D geometry, and significant programming experience.

RBE 580. BIOMEDICAL ROBOTICS

This course will provide an overview of a multitude
of biomedical applications of robotics. Applications
covered include: image-guided surgery,
percutaneous therapy, localization, robot-assisted
surgery, simulation and augmented reality, laboratory
and operating room automation, robotic
rehabilitation, and socially assistive robots. Specific
subject matter includes: medical imaging, coordinate
systems and representations in 3D space,
robot kinematics and control, validation, haptics,
teleoperation, registration, calibration, image processing,
tracking, and human-robot interaction.
Topics will be discussed in lecture format followed
by interactive discussion of related literature. The
course will culminate in a team project covering
one or more of the primary course focus areas.
Recommended background: Linear algebra, ME/
RBE 501 or equivalent. Students cannot receive
credit for this course if they have taken the Special
Topics (ME 593U) version of the same course.

RBE 594. CAPSTONE PROJECT EXPERIENCE IN ROBOTICS ENGINEERING

This project-based course integrates robotics engineering theory and practice, and provides the opportunity to apply the skills and knowledge acquired in the Robotics Engineering curriculum. The project is normally conducted in teams of two to four students. Students are encouraged to select projects with practical significance to their current and future professional responsibilities. The projects are administered, advised, and evaluated by WPI faculty as part of the learning experience, but students are also encouraged to seek mentorship from experienced colleagues in the Robotics Engineering profession. The project will include substantial analysis and/or design and conclude with a written report and a public presentation. Units: 3 Prerequisites: Since the Capstone Project will draw on knowledge obtained throughout the degree program, it is expected that students will have completed most or all of the coursework within their plan of study before undertaking the capstone project.

RBE 595. SPECIAL TOPICS

RBE 595 Special Topics courses are arranged by individual faculty with special expertise, these courses survey fundamentals in areas that are not covered by the regular Robotics Engineering course offerings. Courses are not always offered each semester.

RBE 595 courses offered in Fall 2022:

Haptic and Robotic Interaction (In-Person)

The course is focused on studying how to detect and simulate physical interaction between two entities (for example, between a robot and an object, or between two objects) in a virtual environment, motivated by applications in haptics, where a human operator interacts with virtual objects via a haptic display device. Applications range from virtual training for a wide range of tasks that require physical interaction with objects, such as dental and surgical operations, to teleoperation of robotic manipulation tasks through haptics, and dynamic simulation. Multi-region collisions and contacts involve both rigid and deformable objects will be addressed.

Sensor Fusion and Perception for Autonomous Vehicles (Online)

This course focuses in Sensor Fusion, Image Processing and Computer Vision techniques for Autonomous Vehicles. The class covers four topics: Image Processing (Image Enhancement, Filtering, Advanced Edge and Texture), 2D/3D Vision (3D Geometry from Multiple view geometry, Motion Processing and Stereo) Sensor fusion (homogeneous fusion, heterogeneous fusion and sensor integration) and Image Segmentation and Object Recognition. Students will be introduced to several existing software toolboxes from Vision and Robotics, and will implement a number of smaller projects Moreover, this course presents a variety of tools and approaches for solving fundamental problems involving sensor fusion and perception. Topics to be covered include the mathematical formulation of fusion algorithms, the use of sensor fusion to solve visual perception degeneratives, time domain discrepancies, and accurate reconstruction, and the design and implementation of heterogeneous sensor fusion approaches. Prerequisite: RBE 500

RBE 596. ROBOTICS ENGINEERING PRACTICUM

This practicum provides an opportunity to put into practice the principles studied in previous courses. It will generally be conducted off campus and will involve real-world robotics engineering. Overall conduct of the practicum will be supervised by a WPI RBE faculty member; an on-site liaison will direct day-to-day activity. For a student from industry, an internship may be sponsored by his or her employer. The project must include substantial analysis and/or design related to Robotics Engineering and will conclude with a substantial written report. A public oral presentation must also be made, to both the host organization and a committee consisting of the supervising faculty member, the on-site liaison and one additional WPI faculty member. This committee will verify successful completion of the internship. (Prerequisite: Consent of practicum faculty advisor.

RBE 598. DIRECTED RESEARCH

For M.S. or Ph.D. students wishing to gain research experience peripheral to their thesis topic, M.S. students undertaking a capstone design project, or doctoral students wishing to obtain research credit prior to admission to candidacy. For Directed Research to count as the Masters capstone requirement you must take 3 credits and include substantial analysis and/ or design and conclude with a written report and a public presentation. Units: 3 Prerequisites: Consent of an RBE affiliated research advisor

RBE 599. THESIS RESEARCH

For masters students wishing to obtain research credit toward the thesis. Units: 3 Prerequisites: Consent of thesis advisor

RBE 699. DISSERTATION RESEARCH

For Ph.D. students wishing to obtain a research credit towards the dissertation. Units: 3 Prerequisites: Consent of research advisor.