Tan, Feng; Duan, Guangren Global stabilizing controller design for linear time-varying systems and its application on BTT missiles. (English) Zbl 1232.93079 J. Syst. Eng. Electron. 19, No. 6, 1178-1184 (2008). Summary: A parametric method for the gain-scheduled controller design of a linear time-varying system is given. According to the proposed scheduling method, the performance between adjacent characteristic points is preserved by the invariant eigenvalues and the gradually varying eigenvectors. A sufficient stability criterion is given by constructing a series of Lyapunov functions based on the selected discrete characteristic points. An important contribution is that it provides a simple and feasible approach for the design of gain-scheduled controllers for linear time-varying systems, which can guarantee both the global stability and the desired closed-loop performance of the resulted system. The method is applied to the design of a BTT missile autopilot and the simulation results show that the method is superior to the traditional one in sense of either global stability or system performance. Cited in 4 Documents MSC: 93D21 Adaptive or robust stabilization 93B60 Eigenvalue problems 93C05 Linear systems in control theory 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory 93C95 Application models in control theory Keywords:linear time-varying systems; global stability; gain-scheduled control; eigenstructure assignment; BTT PDFBibTeX XMLCite \textit{F. Tan} and \textit{G. Duan}, J. Syst. Eng. Electron. 19, No. 6, 1178--1184 (2008; Zbl 1232.93079) Full Text: DOI