A sufficient condition for null controllability of nonlinear control systems

Iranian Journal of Numerical Analysis and Optimization

مقاله 3، دوره 2، شماره 1 - شماره پیاپی 2، فروردین 2009   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v2i1.2217

نویسندگان

A. Heydari^* ؛ A.V. Kamyad

چکیده

Classical control methods such as Pontryagin Maximum Principle and Bang-Bang Principle and other methods are not usually useful for solving opti-mal control systems (OCS) specially optimal control of nonlinear systems (OCNS). In this paper, we introduce a new approach for solving OCNS by using some combination of atomic measures. We define a criterion for controllability of lumped nonlinear control systems and when the system is nearly null controllable, we determine controls and states. Finally we use this criterion to solve some numerical examples.

کلیدواژه‌ها

Approximation theory؛ controllability؛ Fuzzy theory؛ measure theory؛ optimal control