Application of Lyapunov matrix inequality based unsymmetrical saturated control to a multi-vectored propeller airship

作者：Chen, Li^*; Whidborne, James F.; Dong, Qi; Duan, Deng Ping

来源：Proceedings of the Institution of Mechanical Engineers - Part G: Journal of Aerospace Engineering , 2018, 232(5): 884-901.

DOI：10.1177/0954410017699236

• Multi-vectored propeller airship
• unsymmetrical saturation
• one-step controller anti-windup controller
• Lyapunov matrix inequality

The problem of the design of a controller for a multi-vectored propeller airship is addressed. The controller includes anti-windup that takes into account unsymmetrical actuator constraints. First, a linear transformation is applied to transform the unsymmetrical constraints into symmetric constraints with an amplitude-bounded exogenous disturbance. Then, a stability condition based on a quadratic Lyapunov function for the saturated closed-loop system is proposed. The condition considers both amplitude-bounded and energy-bounded exogenous disturbances. Thus, the controller design problem is transformed into a convex optimization problem expressed in a bilinear matrix inequality form. Two controller design methods were applied: one-step controller and traditional anti-windup controller. The one-step method obtains the controller and the anti-windup compensator in one step while the anti-windup controller method separates this process into the linear controller design and the compensator design. Simulation results showed that both controllers enlarge the stability zone of the saturation system and have good tracking performance. It is shown that the anti-windup controller design method not only has a larger region of stability, but the demanded actuator output exceeds the constraints less and has a smaller anti-windup coefficient matrix compared to the one-step method.

• 出版日期2018-4
• 单位上海交通大学; 牡丹江医学院