Liu, Mengying; Liu, Yanbin; Xiao, Dibo; Lu, Yuping; Zhang, Yaping Control law for wide envelope of hypersonic vehicles applying guardian maps. (Chinese. English summary) Zbl 1349.93046 Control Theory Appl. 32, No. 11, 1540-1550 (2015). Summary: To deal with the high nonlinearity and variable dynamic properties existing in the hypersonic vehicle model, we apply the guardian maps to propose a method for designing the control law for the wide flight envelope of hypersonic vehicles. Firstly, we use the gap-metric principle to build a Linear Parameter-Varying (LPV) model for the hypersonic vehicle. Then, we select the structure for the controller and calculate the controller parameters for the initial point. Furthermore, according to the guardian maps, we analyze the interval of the parameter at the initial point for the closed-loop system to be stable, and find out a set of allowable control parameter values by adaptively using iterative operations, such that the performance requirements are satisfied in the expected flight process. Simulation results show that the established LPV model maintains a good accuracy, and the control law ensures the global stability throughout the wide flight envelope for the hypersonic vehicle, making the system fulfilling the prospective performance demands. MSC: 93A30 Mathematical modelling of systems (MSC2010) 93C95 Application models in control theory 93D15 Stabilization of systems by feedback 93B51 Design techniques (robust design, computer-aided design, etc.) 93C10 Nonlinear systems in control theory Keywords:hypersonic vehicles; wide envelope; linear parameter-varying; gap metric; guardian maps PDFBibTeX XMLCite \textit{M. Liu} et al., Control Theory Appl. 32, No. 11, 1540--1550 (2015; Zbl 1349.93046)