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The decoupling of multi-channel non-linear time-varying systems by derivative feedback. (English) Zbl 0772.93041
A nonlinear time-varying system \begin{aligned} \dot X & = f(t,X)+B(t,X)u,\quad X(t_ 0)=X_ 0\\ y & = g(t,X)\end{aligned} is considered. The problem is to provide regulation $$\lim_{t\to\infty} y(t)=v$$, (where $$v$$ is a given vector) in such a way that each channel transient exhibits a desired behavior as $$y$$ tends to $$v$$. The authors propose a solution based on the control method with output derivatives. The procedure works even if the information about the plant and external disturbances is incomplete.

##### MSC:
 93C10 Nonlinear systems in control theory
time-dependent