Output Tracking Bumpless Transfer Control of Switched Linear Systems Under Asynchronous Switching

The article delves into the intricate issue of output tracking control (OTC) for switched linear systems under asynchronous switching. It highlights the problem of input bumps caused by the mismatch between local controllers and sub-modes, which can degrade system performance and stability. The author presents a novel bumpless transfer (BT) controller using the gain interpolation technique, which ensures continuous control input and avoids input bumps. The study employs multiple Lyapunov functions to derive sufficient conditions for solving the HOTBTC problem, demonstrating the exponential stability and -gain property of the closed-loop system. The proposed controller is more flexible than existing solutions, allowing for less stringent conditions on the dwell time of sub-modes. The effectiveness of the proposed method is validated through a numerical simulation of a turbofan model, showcasing its superior performance in reducing tracking errors and ensuring smooth control input.