Stabilization of Linear Systems with Two Time Scales
In many situations the mathematical models used to describe the object to be regulated exhibit in a natural way several time scales. To illustrate this idea we shall consider only two examples. In the mathematical modeling of a synchronous machine, the evolution of the mechanical part is much slower than the one corresponding to the electrical one.
KeywordsLime Lution Dinates
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Notes and References
- There are several sources for general aspects concerning singularly perturbed systems ,  and their references. Separation of time scales can be found in , but was used much earlier in . A general survey concerning the use of singular perturbations in control is , where an extended list of references is given. A previous survey is also [41). An extended list of references is given in . The book  contains a nice chapter on singular perturbations, where the time interval is also [0, ∞). The results in Section 3.3 and Section 3.4 are based on  and , respectively.Google Scholar