A bound on the number of integrators needed to linearize a control system
Systems & Control Letters
Differential Flatness and Absolute Equivalence of Nonlinear Control Systems
SIAM Journal on Control and Optimization
Nonlinear Control Systems
Modelling and Control of Robot Manipulators
Modelling and Control of Robot Manipulators
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This paper deals with the use of 0-flat normal form to control a 7 d.o.f-biped robot to follow a specified trajectory. Sufficient geometrical conditions are given to transform the studied nonlinear systems into a 0-flat normal form and determine the flat outputs. On the other hand, a controller design strategy is proposed to control the walking robot. Simulations are carried out using Matlab. The results obtained are very convincing and show the usefulness of such a method in studying highly non-linear systems and designing control laws to drive them.