Single saturated PD control for asymptotic attitude stabilisation of spacecraft

Abstract

This study revisits the problem of attitude stabilisation for rigid spacecraft with actuator constraints in the framework of non-linear proportional-derivative (PD) control methodology. A simple single saturated PD (SSPD) control is proposed. The most appealing features of the proposed SSPD control are that it completely embeds the control action within only a single saturation function for every actuator and omits the elaborate discrimination of the terms that shall be bounded for the commonly-used saturated control and hence it is easy for practical implementation with an improved performance. Lyapunov's direct method is employed to show asymptotic attitude stabilisation. Two illustrative examples are presented to demonstrate the improved performance of the proposed approach.

Simple robust PD control for asymptotic stabilization of uncertain spacecraft with actuator constraints and disturbances

“…A unified design methodology for SPD control for asymptotic attitude stabilization of spacecraft is developed 16 . Recently, an appealing asymptotic stable SPD control that only involves one single strictly linear saturation function for every actuator is constructed 17 . A hybrid SPD feedback controller is constructed by incorporation of a MRP switching logic and is shown to give global asymptotic attitude stabilization 18 …”

“…The development of the SRPD control including control law formulation and asymptotic attitude stabilization analysis is presented in Section 3. In Section 4, simulation comparisons with the single function SPD control (SSPD) of Reference 17 and the SHPD control of Reference 26. Concluding remarks are presented in Section 5.…”

“…that only involves one single strictly linear saturation function for every actuator is constructed. 17 A hybrid SPD feedback controller is constructed by incorporation of a MRP switching logic and is shown to give global asymptotic attitude stabilization. 18 The main drawback of these SPD controls is that they cannot compensate the external disturbance, which always exist in the operation of spacecraft.…”

“…In comparison with the hybrid adaptive control ensuring asymptotic attitude stabilization presented in Reference 24, the proposed control is constructed within the framework of PD design combined robust control without reference to modeling parameter in the control law formulation and hence it is easy for practical implementation. Comparing with the SPD controls within the framework of PD design methodology for attitude stabilization subject to inertia uncertainty, [15][16][17][18] the proposed SRPD has an additional ability to reject the bounded disturbances. The above-mentioned features of the proposed SRPD are accomplished by formulating a new line for stability analysis with Lyapunov's direct method and Barbalat's lemma.…”

Immersion and invariance sliding mode control with time-delay estimation for rigid spacecraft with uncertainties and actuator faults

“…In recent years, many advanced control techniques have been developed for attitude control of spacecraft. Some control methods, such as single saturated proportional–derivative (PD) control (Su and Zheng, 2020), robust integral of the sign of the error (RISE) control (Guo et al, 2019), adaptive control (Lee and Singh, 2020; Tiwari et al, 2023; Zhang et al, 2022), prescribed performance control (Luo et al, 2018), backstepping control (Nadafi and Kabganian, 2022), iterative learning control (Yao, 2021), and passivity-based control (Lang et al, 2019), are designed for attitude tracking of spacecraft. However, they only achieve asymptotic convergence and uniformly ultimately boundedness of attitude tracking.…”