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Slow–fast loop gain-scheduled switching attitude tracking control for a near-space hypersonic vehicle
This article develops a slow–fast loop polytopic linear parameter-varying model and proposes a systematic gainscheduled switching attitude tracking control scheme for a near-space hypersonic vehicle. First, the dynamics of nearspace hypersonic vehicle is modeled as a slow–fast loop polytopic linear parameter-varying model using the Jacobian linearization and tensor-product model transformation approach. Open-loop simulation verification illustrates that the developed polytopic linear parameter-varying model captures the local nonlinearities of the original nonlinear system;
therefore, it is suitable for model-based control. Second, for less conservative controller design purpose, the flight envelope is divided into smaller subregions, a family of slow loop and fast loop gain-scheduled controllers are designed, and each of them is suitable for a specific parameter subspace; the slow loop and fast loop gain-scheduled controllers are then switched in order to guarantee the closed-loop near-space hypersonic vehicle system to be asymptotically stable
and satisfy a specified performance criteria. The resulting slow loop and fast loop gain-scheduled switching controllers are found by solving a convex constraint problem that can be efficiently solved using available linear matrix inequality techniques. Finally, numerical simulations have demonstrated the effectiveness of the proposed method.
Keywords Polytopic system, linear parameter varying, gain-scheduled control, switching control, near-space hypersonic vehicle
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