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Robust Stabilization and Disturbance Rejection of Positive Systems with Time-Varying Delays and Actuator Saturation

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  • Xi Ding
  • Zhengrong Xiang
  • Chunyu Yang

Abstract

This paper focuses on the problems of robust stabilization and disturbance rejection for a class of positive systems with time-varying delays and actuator saturation. First, a convex hull representation is used to describe the saturation characteristics. By constructing an appropriate copositive type Lyapunov functional, we give sufficient conditions for the existence of a state feedback controller such that the closed-loop system is positive and asymptotically stable at the origin of the state space with a domain of attraction. Then, the disturbance rejection performance analysis in the presence of actuator saturation is developed via -gain. The design method is also extended to investigate the problem of -gain analysis for uncertain positive systems with time-varying delays and actuator saturation. Finally, three examples are provided to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Xi Ding & Zhengrong Xiang & Chunyu Yang, 2015. "Robust Stabilization and Disturbance Rejection of Positive Systems with Time-Varying Delays and Actuator Saturation," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, March.
    • Handle: RePEc:hin:jnlmpe:125343
    DOI: 10.1155/2015/125343
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