Linear Dynamically Varying Linear Quadratic Control of Systems with Complicated Dynamics
نویسنده
چکیده
Linear quadratic controllers for dynamical systems with complicated dynamics are presented. Systems with complicated dynamics are those that run over compact sets and have such features as nontrivial recurrence, periodic and aperiodic orbits. The controllers are based on modeling the nonlinear dynamical systems as linear dynamically varying systems. Necessary and sufficient conditions for the existence of such controllers are linked to the existence of a bounded solution to a functional algebraic Riccati equation. Several methods to solve the functional Riccati equation are presented. Finally, an example of controlling the HBnon map is presented.
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تاریخ انتشار 2004