Stability margin-based PD attitude control tuning for unstable flight vehicle

Abstract

Proportional-derivative (PD) attitude control is widely used for the flight vehicles, especially in boost phase. Some of the flight dynamics are open-loop unstable, which often limits the achievable closed-loop performance. Based on the intrinsic characteristics of the linear model obtained from the small perturbation theory, simple numerical analytical tuning formulae of PD attitude control are derived to meet the gain and phase margin specifications. According to Routh stability criterion, the decreasing gain margin is obtained by using the approximation of delay amid low frequency with the established tuning rule. Some numerical polynomial solving approaches are employed to seek the feasible stability margin region, which is explicitly plotted in the 2-D plane. Taking engineering practice into account, the maximum gain constraint is also imposed. Finally, several numerical examples are presented to validate the analysis result.

Proportional-derivative controllers for stabilisation of first-order processes with time delay

“…As is known that the PD control is a most widely used strategy for robot manipulators and flight vehicles because of its simplicity (Reyes and Rosado 2005;Sun, Yang, Wang, and Chen 2013), the main objective of this paper is to study stabilisation of PD controllers in accordance with some plants with time delay. Specifically, we mainly consider the PD controllers for first-order processes with time 2 H. Wang et al delay .…”

Stabilization of linear time-varying systems using proportional-derivative state feedback

“…It is well known that the proportional-derivative (PD) feedback is sometimes essential for achieving the desired control objectives such as overshoot reduction in the responses, sensitivity reduction to parameter variations and performance improvement of the control systems (Golnaraghi and Kuo, 2010). Accordingly, the PD state control architecture is the most widely used controller structure in a wide range of practical applications; such as flexible spacecraft attitude stabilization (Hu and Xiao, 2012; Su and Zheng, 2014), control the attitude of flight vehicles (Sun et al, 2013), robot manipulators (Caverly et al, 2014; Gonzalez-Vazquez and Moreno-Valenzuela, 2013), and active vibration control of smart piezoelectric structures (Lin and Chang, 2012). Therefore, some researchers have proposed some approaches to study the performance analysis and design problems of PD control systems.…”

Proportional–integral–derivative attitude control subject to dynamic rate saturation of elevator through explicit command reshaping: An engineering approach

“…The bandwidth of the elevator affects the robustness of the closed-loop system, which has been studied for the statically unstable flight vehicles. 1,2 Besides the bandwidth, the saturation constraints also have significant impacts on the elevator performance. There are two kinds of saturations of the elevator deflection: the amplitude saturation and the rate saturation.…”