Robust Disturbance Rejection for Left Invertible Singular Systems with Nonlinear Uncertain Structure

The problem of robust disturbance rejection (RDR) using a proportional state feedback controller is studied for the case of Left Invertible MIMO generalized state space linear systems with nonlinear uncertain structure. Sufficient conditions for the problem to have a solution are established. The set of all proportional feedback controllers solving the problem subject to these conditions is analytically determined.

• Fotis N. Koumboulis
• Michael G. Skarpetis
• Maria P. Tzamtzi

• System theory
• uncertain systems
• robust control
• singular systems.

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