CHAPTER 13CRITICAL POSITION USING ENVIRONMENT MODEL APPLIED ON WALKING ROBOTS
M. MIGDALOVICI1, L. VLADAREANU1, N. POP1, H. YU2,3, M. ILIESCU1, V. VLADAREANU1, D. BARAN4, G. VLADEANU1
1 Romanian Academy, Institute of Solid Mechanics of the Romanian Academy, Romanian
2 School of Computer Science and Network Security, Dongguan University of Technology, China
3 Faculty of Science and Technology, Bournemouth University, Poole BH125BB, UK
4 National Institute of Aerospace Research Elie Carafoli, Bucharest, Romanian
Emails: luige.vladareanu@vipro.edu.ro, migdal@imsar.bu.edu.ro, yuh@bournemouth.ac.uk, iliescumihaiela7@gmail.com, victor.vladareanu@vipro.edu.ro, nicpop@gmail.com
Abstract.
The chapter presents the walking robots evolution models in correlation with modeling of the environment in order to integration into the concept of virtual reality by applying the virtual projection method. The environment’s mathematical model is defined through the models of kinematics or dynamic systems for the general case of systems that depend on parameters. In the first part of the chapter, some mathematical conditions that imply the separation of stable regions from the free parameters domain of the system are formulated. The property of separation between stable and unstable regions from the free parameters domain of the system is deeply approached, being an important property of the dynamic system evolution model that approaches the phenomenon from the environment. In the second part an innovative ...
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