Research On μ-synthesis Controller Of Air-to-Air Missile In Whole Trajectory

The increasing complexity of battlefield environment for air-to-air missile control system putsforward higher requirements, missile controller needs to maintain the robust stability and robustperformance in whole trajectory. Classic design method of the missile controller has becomeincreasingly unable to meet this requirement, robust μ-synthesis can integrate the controlled plant’suncertainty in the design process, and it has advantage of analysis the system’s robust stability androbust performance at the same time. So it becomes the new approach to solve the new generation ofair-to-air missile controller’s design.Firstly, it establishes the mathematical model sample air-to-air missiles from propulsion tounpowered flight, and makes the calculations to the uncertainty based on performance analysis. Thendesign the μ-synthesis controllers of pitch/yaw and row channels on several linear operating pointsusing μ-synthesis method, and it validates the robustness by robust μ-analysis.Secondly, aimed to overcome the difficulties of performance function parameters design whenthe μ-controller designs, it puts forward the automatic optimization design using the particle swarmoptimization. As it meets premature convergence of in the design process and can’t achieve optimalsolution, it proposes two improved particle swarm optimization algorithms, the test function andsimulation results show that the improved PSO algorithm has the higher efficiency and betteroptimization ability.Then, to maintain the excellent performance of the controllers in whole trajectory, it needs toswitch multiple controllers by gain-scheduling methods. Two gain-scheduled methods ofblending/conditioning and D-scheduling are presented to implement the schedule μ-synthesiscontrollers. Compared the relative merits and simulation results, the blending/conditioning method ismore suitable for the sample of air-to-air missiles controller.Finally, it simulates the sample missile μ-synthesis controllers in the real-time simulationenvironment, from linear simulation of fixed points to nonlinear simulation in whole trajectory, itverifies the feasibility of solver algorithm and the real-time efficiency of the entire μ-synthesiscontroller gain-scheduling policy, and lays the foundation for the robust μ-synthesis controllerapplication to the air-to-air missile actual flight.