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Towards Application on Optimization-Based Methods for Motion Planning of Legged Robots

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Release : 2023
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Book Synopsis Towards Application on Optimization-Based Methods for Motion Planning of Legged Robots by : Jingwen Zhang

Download or read book Towards Application on Optimization-Based Methods for Motion Planning of Legged Robots written by Jingwen Zhang. This book was released on 2023. Available in PDF, EPUB and Kindle. Book excerpt: As legged robots have demonstrated versatility, they are more and more favorable for many applications, such as logistics, surveillance, disaster relief, and even home service. Legged robots have the potential to explore and interact with the environment around humans but cannot be handled by robots of other types. A key difficulty in legged locomotion control is that the movement of the floating base cannot be commanded directly, but instead results from the contact forces between the robot and the environment. The contact forces introduce some physical constraints, such as friction cones and unilateral features. Additionally, the hybrid and highly nonlinear dynamics further complex the motion generation and also the motion execution. For tackling legged locomotion, the control framework is often designed hierarchically, in which the high level is in charge of planning reference motion trajectories, and the low level is responsible for tracking this reference trajectory under disturbances. The ideal case is that the reference motion from the high-level planner can be executed by the low-level controller perfectly. However, the discrepancy is always presented given model simplifications and task assumptions. The main objective of this dissertation is to make contributions to mitigate this discrepancy by focusing on high-level motion planning. In motion planning for legged robots, the motion can be categorized into two main types, quasi-static and dynamic motions. Quasi-static motions are defined with a series of discrete contact sequences while the acceleration is kept zero in every time instance. Although energy inefficient, it is often considered a high-risk task. In this dissertation, two motion planners are presented for a six-legged wall-climbing robot given a unique combination of constraints on contact points, contact forces, and body posture. For the first on-wall planner that decouples contact and force planning, on-wall contact points are generated using a mixed-integer convex programming (MICP) with a pre-specified contact sequence while contact forces are optimized subsequently with convex programming. For the second planner, the unscheduled contact sequence is optimized by solving nonlinear programming (NLP). We consider various motions on different environment setups via modeling contact constraints and limb switchability as complementarity conditions. With presented planners, the robot is able to overcome the transition phase between the ground and walls, and also climb vertically between two walls with irregular profiles using pure friction. As for dynamic motions which are seen more commonly in legged animals, trajectory optimization can be utilized to generate a more continuous motion while acceleration resulting from the model dynamics plays a key role. In this dissertation, a jumping planner is presented for a miniature bipedal robot with proprioceptive actuation. The algorithm adopts centroidal dynamics to consider whole-body mass and inertia distribution and generates various motions, directional jumps, twisting jumps, step jumps, and somersaults. The optimized motion can not only mimic human jumping behaviors but also compensate for undesired angular momentum. To prepare a more accurate model for the planner, optimization-based system identification is applied here. Additionally, a heuristic landing location planner based on real-time momentum feedback in the air phase is presented to improve landing stability when executing the jumping reference trajectory.

Optimization-based Motion Planning for Legged Robots

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Release : 2018
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Book Synopsis Optimization-based Motion Planning for Legged Robots by : Alexander W. Winkler

Download or read book Optimization-based Motion Planning for Legged Robots written by Alexander W. Winkler. This book was released on 2018. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization-based Multi-contact Motion Planning for Legged Robots

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Release : 2021
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Book Synopsis Optimization-based Multi-contact Motion Planning for Legged Robots by : Iordanis Chatzinikolaidis

Download or read book Optimization-based Multi-contact Motion Planning for Legged Robots written by Iordanis Chatzinikolaidis. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt:

Gait Optimization for Multi-legged Walking Robots, with Application to a Lunar Hexapod

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Release : 2011
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Book Synopsis Gait Optimization for Multi-legged Walking Robots, with Application to a Lunar Hexapod by : Daniel Chávez-Clemente

Download or read book Gait Optimization for Multi-legged Walking Robots, with Application to a Lunar Hexapod written by Daniel Chávez-Clemente. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: The interest in using legged robots for a variety of terrestrial and space applications has grown steadily since the 1960s. At the present time, a large fraction of these robots relies on electric motors at the joints to achieve mobility. The load distributions inherent to walking, coupled with design constraints, can cause the motors to operate near their maximum torque capabilities or even reach saturation. This is especially true in applications like space exploration, where critical mass and power constraints limit the size of the actuators. Consequently, these robots can benefit greatly from motion optimization algorithms that guarantee successful walking with maximum margin to saturation. Previous gait optimization techniques have emphasized minimization of power requirements, but have not addressed the problem of saturation directly. This dissertation describes gait optimization techniques specifically designed to enable operation as far as possible from saturation during walking. The benefits include increasing the payload mass, preserving actuation capabilities to react to unforeseen events, preventing damage to hardware due to excessive loading, and reducing the size of the motors. The techniques developed in this work follow the approach of optimizing a reference gait one move at a time. As a result, they are applicable to a large variety of purpose-specific gaits, as well as to the more general problem of single pose optimization for multi-limbed walking and climbing robots. The first part of this work explores a zero-interaction technique that was formulated to increase the margin to saturation through optimal displacements of the robot's body in 3D space. Zero-interaction occurs when the robot applies forces only to sustain its weight, without squeezing the ground. The optimization presented here produces a swaying motion of the body while preserving the original footfall locations. Optimal displacements are found by solving a nonlinear optimization problem using sequential quadratic programming (SQP). Improvements of over 20% in the margin to saturation throughout the gait were achieved with this approach in simulation and experiments. The zero-interaction technique is the safest in the absence of precise knowledge of the contact mechanical properties and friction coefficients. The second part of the dissertation presents a technique that uses the null space of contact forces to achieve greater saturation margins. Interaction forces can significantly contribute to saturation prevention by redirecting the net contact force relative to critical joints. A method to obtain the optimal distribution of forces for a given pose via linear programming (LP) is presented. This can be applied directly to the reference gait, or combined with swaying motion. Improvements of up to 60% were observed in simulation by combining the null space with sway. The zero-interaction technique was implemented and validated on the All Terrain Hex-Limbed Extra-Terrestrial Explorer (ATHLETE), a hexapod robot developed by NASA for the transport of heavy cargo on the surface of the moon. Experiments with ATHLETE were conducted at the Jet Propulsion Laboratory in Pasadena, California, confirming the benefits predicted in simulation. The results of these experiments are also presented and discussed in this dissertation.

Hybrid Control and Motion Planning of Dynamical Legged Locomotion

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Release : 2012-09-11
Genre : Technology & Engineering
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Book Rating : 724/5 ( reviews)

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Book Synopsis Hybrid Control and Motion Planning of Dynamical Legged Locomotion by : Nasser Sadati

Download or read book Hybrid Control and Motion Planning of Dynamical Legged Locomotion written by Nasser Sadati. This book was released on 2012-09-11. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the need in the field for a comprehensive review of motion planning algorithms and hybrid control methodologies for complex legged robots. Introducing a multidisciplinary systems engineering approach for tackling many challenges posed by legged locomotion, the book provides engineering detail including hybrid models for planar and 3D legged robots, as well as hybrid control schemes for asymptotically stabilizing periodic orbits in these closed-loop systems. Complete with downloadable MATLAB code of the control algorithms and schemes used in the book, this book is an invaluable guide to the latest developments and future trends in dynamical legged locomotion.

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