Event‐triggered state‐dependent switching rule design for switched linear systems

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Abstract
Summary: This paper is devoted to the synthesis problem of switched linear systems. We come up with a novel state‐dependent switching rule in terms of an event‐triggered mechanism. This switching rule is able to expand the degree of freedom of bilinear matrix inequality where the synthesis problem is constructively formulated. It is overwhelmingly critical that the number of decision variables, which determines the conservativeness of our results under the proposed event‐triggered state‐dependent switching rule, is larger than the previous ones when a switched system consisted of three or more subsystems. The implementation complexity of a switching law is greatly reduced, as well as the number of switchings. Finally, two examples illustrate that the proposed synthesis procedure is valid.
Funding Information
  • National Natural Science Foundation of China (61773281, 61673292)

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