Robust Adaptive Control Of Aircraft Based On Guardian Maps

According to the strict performance requirements in the modern flight control design, this paperpresents a robust adaptive control method based on the generalized stability relationship betweenguardian maps and parametrized families with regard to matrices or polynomials, This methodestablishes a constraint relation between an open subset of complex plane and the eigenvalues of thestate matrix of closed-loop control system.Followed that, the design goal of the adaptive gainscheduling is achieved for the control system by assigning the poles of the closed-loop controlsystem with consideration of the relation between the control objectives and the stable regions ofcomplex plane.Aiming to the design issues of the control system for the fix model, first the control objectivesare converted to the corresponding eigenvalue distribution areas in the complex plane, and then theresulting guardian maps restraining these areas are acquired. Furthermore, a gain schedulingalgorithm with regard to the specific control design process is provided using the state matrix withthe unknown parameters determined by the guardian map restrains. Especially, the advantage of thisalgorithm reflects that the controller meeting the performance requirements can be obtainedadaptively and rapidly as long as an initial controller is given. Also, this algorithm provides a simpleand effective strategy for tuning the control parameters in the practical application.For the design process of the robust control of the LPV model, frist the LPV model is built withconsideration of the environment factors, and then the corresponding controller structure is designed.In this case, the unknown parameters of the closed-loop control system include the uncertain modeldynamics and the regulated control gains. Afterwards, the control gains and the maximum robust andadaptive regions are acquired using the guardian maps theories. As a result, the robust adaptivecontrol is realized for the LPV model.Furthremore, the C control structure is studied using the guardian maps theories, and theresulting control parameters can be adaptively obtained to guarantee dynamic performance andtracking response. In addition, the LPV control issues are investigated for the Martian unmannedaerial vehicle based on the guardian maps theories. Accordingly, the proposed LPV controller canmeet the flight stability requirements for the Martian unmanned aerial vehicle in the variations of theflight altitude and speed, and can realize the robust adaptive control throughout the entire flightenvelope.