Backstepping technique
usually adopts back
step design to construct the Lyapunov function gradually, and then to design
the corresponding virtue controller. The backstepping technique based on error
also adopts back
step design process, but the design of virtue controllers depends on the corresponding
errors which are designed to satisfy some expected behaviors. Six different error
equations are deduced by changing the results of the virtue controls
arbitrarily while guaranteeing the system behaviors such
as stability, and an example shows the
effectiveness of these six versions. Simulated results illustrate that thesesix versions of backstepping technique based on error are effective.
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