Data-driven optimal switching of switched systems

2019 ◽  
Vol 356 (10) ◽  
pp. 5193-5221 ◽  
Author(s):  
Minggang Gan ◽  
Chi Zhang ◽  
Jingang Zhao
Sensors ◽  
2020 ◽  
Vol 20 (5) ◽  
pp. 1287
Author(s):  
Chi Zhang ◽  
Minggang Gan ◽  
Jingang Zhao ◽  
Chenchen Xue

In this paper, a data-driven optimal scheduling approach is investigated for continuous-time switched systems with unknown subsystems and infinite-horizon cost functions. Firstly, a policy iteration (PI) based algorithm is proposed to approximate the optimal switching policy online quickly for known switched systems. Secondly, a data-driven PI-based algorithm is proposed online solely from the system state data for switched systems with unknown subsystems. Approximation functions are brought in and their weight vectors can be achieved step by step through different data in the algorithm. Then the weight vectors are employed to approximate the switching policy and the cost function. The convergence and the performance are analyzed. Finally, the simulation results of two examples validate the effectiveness of the proposed approaches.


Automatica ◽  
2020 ◽  
Vol 112 ◽  
pp. 108696 ◽  
Author(s):  
Wei Xu ◽  
Zhi Guo Feng ◽  
Gui-Hua Lin ◽  
Ka Fai Cedric Yiu ◽  
Liying Yu

Automatica ◽  
2017 ◽  
Vol 78 ◽  
pp. 185-193 ◽  
Author(s):  
Wei Xu ◽  
Zhi Guo Feng ◽  
Jian Wen Peng ◽  
Ka Fai Cedric Yiu

Sensors ◽  
2021 ◽  
Vol 21 (12) ◽  
pp. 4138
Author(s):  
Hao Zhao ◽  
Hao Luo ◽  
Yunkai Wu

This paper is concerned with the fault detection issue for a class of discrete-time switched systems via the data-driven approach. For the fault detection of switched systems, it is inevitable to consider the mode matching problem between the activated subsystem and the executed residual generator since the mode mismatching may cause a false fault alarm in all probability. Frequently, studies assume that the switching laws are available to the residual generator, by which the residual generator keeps the same mode as the system plant and then the mode mismatching is excluded. However, this assumption is conservative and impractical because many switching laws are hard to acquire in practical applications. This work focuses on the case of switched systems with unavailable switching laws. In view of the unavailability of switching information, the mode recognition is considered for the fault detection process and meanwhile, sufficient conditions are presented for the mode distinguishability. Moreover, a novel decision logic for the fault detection is proposed, based on which new algorithms are established for the data-driven realization. Finally, a benchmark case on a three-tank system is used to illustrate the feasibility and usefulness of the obtained results.


2018 ◽  
Vol 51 (25) ◽  
pp. 402-408
Author(s):  
Tianyu Dai ◽  
Mario Sznaier
Keyword(s):  

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