Command Filter-Based Control for Spacecraft Attitude Tracking With Pre-Defined Maximum Settling Time Guaranteed

Abstract

For the on-orbit service spacecraft attitude tracking task with external disturbances, considering the limited capacity of its actuators and high control performance required, an improved performance constraint control algorithm based on command filters is proposed in this paper. For the proposed control algorithm, before the theoretical control signal is transmitted to the actuator, it needs to be filtered by the command filter. This filter can constrain the rate, magnitude, and bandwidth of the signals, smooth the command signals and avoid peak interference. In terms of performance constraints, inspired by the performance constraint curve, this paper uses the determined points to re-design a new performance constraint function, which shows the maximum settling time parameters, allowing designers to pre-defined this limited time of the closed-loop system according to needs. Therefore, the maximum settling time of the actual closed-loop system will be less than the pre-defined maximum settling time. The controller based on the command filter is designed, and on this basis, the corresponding performanceconstrained control algorithm with pre-defined maximum settling time guaranteed is proposed. Through the proof and simulation, the rationality and effectiveness of the proposed controller are further demonstrated.

Command-Filter-Based Region-Tracking Control for Autonomous Underwater Vehicles with Measurement Noise

“…The equivalence proof in this sub-section has been completed in the literature, see Ref. [36] for details.…”

“…It was first proposed by Farrell to solve the problem, but it was difficult to improve the control accuracy because the dynamic surface method never considered filtering errors [32]. The command filter method has been widely applied in nonlinear control systems [33,34], and some scholars have combined it with finite-time technology [35,36] and adaptive technology [37,38] to further improve the control performance. However, in the existing literature, the command filter method was mainly used to obtain the approximate derivative of the virtual control law, and its error compensation performance was used to improve the control performance; the research has seldom paid attention to the effect of the filtering part of the method on the active signal regulation.…”

A Low-Complexity PD-Like Attitude Control for Spacecraft With Full-State Constraints

“…In order to control only the attitude MRPs utilizing the concept of the traditional PPC used in [33][34][35][36][37]41], firstly an MRPs variable transformation is adopted to transform the original nonlinear attitude system (1), with the constraint −𝜌 𝜎 (𝑡) < 𝜎(𝑡) < 𝜌 𝜎 (𝑡), (8) into an equivalent un-constrained one. More explicitly, it is defined 𝜎(𝑡) = 𝜌 𝜎 (𝑡)ϒ 𝜎 (𝜆 𝜎 ) (9) where 𝜆 𝜎 is the transformed quaternion variable and ϒ 𝜎 (⋅)is a smooth, strictly increasing and invertible function possessing the subsequent properties:…”

“…As explained in the previous subsection, based on the condition (7), it is quite sophisticated to develop the attitude controller based on the existing constrained control methods [33][34][35][36][37]41] even for only constraining the quaternions. In order to deal with such difficulty, the following simple error transformations are introduced:…”

“…A new learning-based PPC for spacecraft formation in the existence of exterior disturbance has been recommended in [35]. Inspired by the PPC notion, a constrained attitude tracking control for spacecraft has been presented in [36] such that the maximum convergence time of the closed-loop system can be pre-determined by the designer. Using backstepping approach, Ref.…”