Abstract
This paper presents an approach to simultaneously design smooth switching state-feedback LPV controllers. Using hysteresis switching strategy, a family of mixed $ICC/\mathscr{H}_{\infty}$ LPV controllers are designed to stabilize the open-loop system over each subregion and switching region. This control problem is formulated into Parametric Linear Matrix Inequalities (PLMIs) and can be numerically solved by convex optimization algorithms. A tunable cost function consisting of switching smoothness index and output system performance index is proposed to solve for the optimal LPV controller. With given robustness level, switching smoothness is improved by tuning the cost function to trade-off switching smoothness and weighted output performance. To demonstrate the feasibility of the proposed approach and balance output performances and switching smoothness, a vibratory model of flexible Blended-Wing-Body (BWB) airplane is applied. Simulation results show that switching smoothness can be improved and balanced with output performance by proposed switching controller design approach.
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