Decentralized Control for a Class of Similar Composite Systems with Interconnections with Unsatisfying Interconnection Condition

Zhong Li · 系统科学与系统工程学报(英文版) · 2001

In this paper, a class of similar composite systems is discussed, whose interconnections are asymmetrical and mismatched. The interconnection condition is proposed. Based on it, the interconnections are divided into two parts. One satisfies the interconnection condition, by means of the two-step method, the decentralized controllers are designed. The other does not satisfy the interconnection condition, but this is offsetted by good quality of the system itself. Based on these, a sufficient condition is given by some linear matrix inequalities, which makes the studied systems quadratic stabile via linear decentralized controllers by making use of the information of interconnections better.

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