Linear Parameter-Varying Polytopic Modeling and Control Design for Guided Projectiles
Gian Marco Vinco (Université Grenoble Alpes, French-German Research Institute)
Olivier Sename (Université Grenoble Alpes)
Guillaume Strub (French-German Research Institute)
Spilios Theodoulis (TU Delft - Control & Simulation)
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Abstract
In this paper, a linear parameter varying (LPV) modeling and control design approach is applied to a new class of guided projectiles, aiming to exploit the advantages of the LPV framework in terms of guaranteed stability and performance. The investigated concept consists of a planar symmetric 155 mm fin-stabilized projectile equipped with a reduced amount of control actuators and characterized by a predominantly unstable behavior across the analyzed flight envelope. A dedicated modeling procedure allows reformulating the nonlinear projectile dynamics as a LPV polytopic system, employed for the controller design. The procedure intends to reduce the computational complexity and the conservativeness affecting the overall controller synthesis. A trajectory-tracking simulation scenario is performed in a realistic simulator environment to assess the performance of the resulting LPV polytopic autopilot across the entire flight envelope.