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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.
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.