Abstract

This paper addresses the problem of rendering a linear time-invariant (LTI) dynamic system passive in a given sector using dynamic feedback compensation. The importance of this technique is that systems with sector nonlinearities in the plant dynamics can be asymptotically stabilized by first making the system passive in a given sector and then using any passivity-based controller. A sufficient condition in the form of a system of coupled Riccati/Lyapunov equations is presented to ensure the strict passivity of the feedback interconnection of the LTI system with dynamic output feedback compensator.

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