On the Application of an Approximation Technique to the Problem of Optimal Stabilization of Nonlinear Systems.
GRUMMAN AIRCRAFT ENGINEERING CORP BETHPAGE N Y RESEARCH DEPT
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The paper presents an approximation technique which can be used in the analytic construction of a control law for an arbitrary nonlinear control system. The problem considered here is the construction of a control law which will stabilize the system such that a given integral criterion achieves a minimum value along the trajectory. Liapunovs stability theory is used in the problem formulation, and the solution is achieved by utilizing either Galerkins method or the method of characteristics, or a combination of the two. Author
- Theoretical Mathematics