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Journal of Systems Science and Complexity

, Volume 30, Issue 6, pp 1242–1257 | Cite as

Control and optimization of sampled-data systems with quantization and actuator saturation

  • Hanyong ShaoEmail author
  • Jianrong Zhao
Article

Abstract

This paper is concerned with control and optimization for a sampled-data system with quantization and actuator saturation. Based quantization and actuator saturation a controller is introduced. The corresponding closed loop system is transformed into a system with input saturation and bounded external disturbance. A new Lyapunov functional is constructed to derive a sample-interval dependent condition on the existence of a state feedback controller such that the closed-loop system is exponentially convergent to an ultimate ellipsoid for the initial condition starting from some initial ellipsoid. Based on the condition, the desired controller is designed. Furthermore, optimization problems about the sample-interval, the ultimate ellipsoid and the initial ellipsoid are formulated. An example is given to illustrate the effectiveness of the proposed method.

Keywords

Actuator saturation exponential converge quantization sampled-data system 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Institute of AutomationQufu Normal UniversityQufuChina

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