Application of passivity control theory to chaotic systems

Nonlinear systems are difficult to control and may exhibit chaotic behavior under certain parameters selection. Typical example of these systems is the well known Lorenz attractor. In this paper passive theory is used to design controllers to a class of minimum phase nonlinear systems. The feedback controllers guarantee asymptotic stability of the closed loop system. The method is applied to a permanent magnet synchronous motor. Simulation studies of test system are shown for both the open and closed loop system behavior show the effectiveness of the proposed controller. Key-Words: Lorenz chaotic systems, Passivity theory, Control of chaos, PM synchronous motor