Robust PD State Feedback Controller Design for Uncertain Singular Systems

Abstract:

This paper is concerned with the problem of robust stability and stabilization of singular systems with uncertainties in both the derivative and state matrices. By using a parameter dependent Lyapunov function, we derive the LMI-based sufficient conditions for the stabilization of the singular systems. Secondly, by solving these LMIs, a proportional plus derivative (PD) state feedback controller is designed for the closed-loop systems to be quadratically normal and quadratically stable (QNQS). Finally, the numerical example is given to show the effectiveness of the proposed theorems.

• Periodical: Advanced Materials Research (Volumes 403-408)
• Pages: 3813-3818
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.403-408.3813
• Online since: November 2011
• Authors: Jian Wu Zhu, Yuan Chun Ding
• Keywords: LMI, PD Controller, Robust Stabilizability, Singular Systems

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