Jan Awrejcewicz

By J. Awrejcewicz, J. Mrozowski, S. Młynarska, A. Dąbrowska-Wosiak, B. Zagrodny, S. Banasiak and L.V. Yakushevich

Part of the book: Numerical Analysis

By Igor Andrianov, Jan Awrejcewicz and Victor Olevs’kyy

Part of the book: Nonlinearity, Bifurcation and Chaos

By J. Awrejcewicz, V.А. Krysko, I.V. Papkova, Т.V. Yakovleva, N.A. Zagniboroda, М.V. Zhigalov, A.V. Krysko, V. Dobriyan, E.Yu. Krylovа and S.A. Mitskevich

Part of the book: Computational and Numerical Simulations

By Dariusz Grzelczyk and Jan Awrejcewicz

In this chapter, we developed and investigated numerically a general kinematic model of a multi-legged hybrid robot equipped with a crab-like and/or mammal-like legs. To drive the robot’s limbs, a novel generator of gait was employed and tested. The simulation model developed in Mathematica is suitable for virtual study and visualization of the locomotion process. In contrast to our previous papers, in this study we focused especially on precise control of the position of the robot during walking in different directions. In our study we were able to simultaneously control all six spatial degrees of freedom of the robot’s body, as well as all the robot’s legs. Therefore, the investigated robot can be considered and used as a fully controlled walking Stewart platform. What is more, the used algorithm can also be successfully employed to coordinate and control all limbs of the robot on unstable or vibrating ground. As an example, it can be used to stabilize spatial position of the robot when the supporting ground becomes vibrating or unstable, and it will keep the robot stable and prevent it from falling over. Eventually, the developed simulation algorithms can be relatively simply adopted to control real constructions of different multi-legged robots.

Part of the book: Dynamical Systems Theory