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Improved ADT Method for the Switched Nonlinear System: Stability Analysis and Application

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This brief investigates the stabilization problem of switched nonlinear systems via orchestrating unstable modes. The stabilizing-switching-dependent average dwell time method is advanced to provide enough switching behaviors with stabilizing property… Click to show full abstract

This brief investigates the stabilization problem of switched nonlinear systems via orchestrating unstable modes. The stabilizing-switching-dependent average dwell time method is advanced to provide enough switching behaviors with stabilizing property to compensate for the increment of the Lyapunov functions caused by modes and dwell-time-dependent/independent destabilizing switching times. The stability criteria are established based on the set of switching pairs with the stabilizing property. By limiting the ratio of stabilizing switching times in one switching period, the destabilizing switching behaviors allowably occur before the stabilizing ones. Besides, the stability results are applicable for the scenario where the preset switching signals with information loss. Finally, the simulation part illustrates the feasibility and superiority of the obtained results.

Keywords: switched nonlinear; adt method; method switched; method; stability; improved adt

Journal Title: IEEE Transactions on Circuits and Systems II: Express Briefs
Year Published: 2022

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