Organically structured control of large-scale systems with expanding construction based on state observation. (English) Zbl 1342.93019

Xiaohua, Li; Xiaoping, Liu; Liu, Yang; Jiawang, Gao

Abstr. Appl. Anal. 2015, Article ID 807202, 21 p. (2015).

Summary: This paper presents a new method on the problem of organically structured control based on state observation for a class of large-scale systems with expanding construction. This problem is to design a local state feedback controller and an observer for a new subsystem which is added to a large-scale system without changing the decentralized state feedback control laws of the original construction, so that both the new subsystem and the resulting expanded system are robustly connectively stable. Firstly, based on state observers, the mathematical model of a large-scale system with expanding construction is reestablished and analyzed. In addition, a sufficient condition for robust decentralized connective stabilization of the expanded construction of large-scale systems is deduced by taking an LMI approach, which is further relaxed by removing the square matrix condition on the output matrix. This problem is transformed into solving an LMI problem. The new design method of an organically structured controller and observer for the expanded construction is also given. Finally, simulation examples show the effectiveness of the proposed method.

MSC:

93A15	Large-scale systems
93B52	Feedback control
93A14	Decentralized systems
93D21	Adaptive or robust stabilization

Keywords:

state observation; large-scale systems; robust decentralized connective stabilization; LMI problem

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