Robust Sampled-Data Control for Switched Complex Dynamical Networks With Actuators Saturation

• Published in: IEEE transactions on cybernetics Vol. 52; no. 10; pp. 10909 - 10923
• Main Authors: Chen, Guoliang, Xia, Jianwei, Park, Ju H., Shen, Hao, Zhuang, Guangming
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.10.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuator saturation; Actuators; Circuits; complex dynamical networks; Control systems; Control systems design; Controllers; Delays; Dwell time; Dynamic stability; mean-square exponential stability; Networks; Optimization; Robust control; robust sampled-data control; Sampling; Saturation; Stability criteria; Subsystems; Switches; Switching; Symmetric matrices; Synchronization; Topology; Upper bounds
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2021.3069813

In this article, an aperiodic sampled-data control problem is investigated for polytopic uncertain switched complex dynamical networks subject to actuator saturation. Due to the constraint on the upper bound of the sampling interval being no greater than the dwell time, the issue concerning the asynchronization between the sampled-data controller mode and the system mode is hence considered to be caused by subsystems that may switch in a sampling interval. By considering the sampling interval without switching and the sampling interval with switching, the parameters-dependent loop-based Lyapunov functionals are constructed, respectively. With the help of the constructed functional, mean-square exponential stability criteria for the error polytopic uncertain switched complex dynamical networks are presented under the definition of average dwell time. Furthermore, based on the stability criteria, the asynchronous aperiodic sampled-data controller is designed for polytopic uncertain switched complex dynamical networks subject to actuator saturation. The polytopic uncertain switched complex dynamical networks can be guaranteed to exponentially synchronize with the target node based on the proposed stability conditions and aperiodic sampled-data controller design method. Finally, by transforming the proposed theoretical conditions into the LMI-based objective optimization problem, the domain of attraction of polytopic uncertain switched complex dynamical networks is estimated. An example based on switched Chua's circuit is applied to verify the effectiveness of the proposed method.