Designing Fuzzy Polynomial Gain Scheduled Three-Loop Autopilot For The Pitch Channel Of A Flying Vehicle release_exjra3cjgzbt7e2md4jzbdobv4

Abstract

This paper presents a gain scheduled autopilot for pitch channel of a flying vehicle. The selected method is based on polynomial fuzzy systems. The method does not involve linearization about operating point. First the polynomial fuzzy model of pitch channel of the flight body is derived. Next, using polynomial fuzzy system methodology the controller is design such that the outputs of the nonlinear plant drive to follow those of a stable reference model. Because of avoiding actuator saturation, some constraints derived that guarantees the amplitude of control signals be less than a specific threshold. It is considered that the controller has a known structure like three-loop autopilot. In other words the three-loop fuzzy polynomial autopilot is design to satisfy stability and performance of the closed loop system over a wide range of parameter variation. Stability and performance conditions derived in terms of sum of square will solve numerically via SOSTOOLS. Introduction Flying vehicle autopilot design is an interesting problem for the researchers. It has a challenging nature duo to the fact that the closed loop stability and performance has to be satisfied over a wide range of flight conditions. Gain-scheduling techniques have been used extensively for the design of flying vehicle autopilot [1-3]. Classical gain scheduling is typically based on designing a set of linear controllers for a set of flight operating point [4, 5]. An interpolation method forms the entire controller according to the scheduling variables. In the modern methodologies such as linear parameter varying (LPV) framework the control problem are formulated as linear matrix inequalities (LMI) optimization problems which are then solved using semi-definite programming [6].
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