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

*(English)*Zbl 1402.93174Summary: 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.

##### MSC:

93C57 | Sampled-data control/observation systems |

93C10 | Nonlinear systems in control theory |

93C15 | Control/observation systems governed by ordinary differential equations |

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\textit{H. Shao} and \textit{J. Zhao}, J. Syst. Sci. Complex. 30, No. 6, 1242--1257 (2017; Zbl 1402.93174)

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