Decentralized Control of Switched-Systems with Path-Dependent 𝓁2-induced Bounds.

In this paper, we extend recent results on the decentralized switched control problem to include path-dependent performance bounds, and demonstrate the application of the new method to test a system of quadcopters. Path-by-path performance hounds leads to increased flexibility when designing the controller and improves the closed-loop performance, because the decentralized controller depends on a switching path with given memory and preview horizon. Application example is provided, we consider an aircraft formation problem, and then compare the performance of a switched controller with uniform performance bound to that of a controller synthesized with path-by-path performance bounds.