On the computation of switching surfaces in optimal control: a Grobner basis approach
نویسندگان
چکیده
A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. Recently, a powerful new methodology for doing symbolic manipulations with polynomial data has been developed and tested, namely the use of Gröbner bases. In this paper, we apply the Gröbner basis technique to find effective solutions to the classical problem of time-optimal control.
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ورودعنوان ژورنال:
- IEEE Trans. Automat. Contr.
دوره 46 شماره
صفحات -
تاریخ انتشار 2001