Adaptive multivariable finite‐time continuous fault‐tolerant control of rigid spacecraft

Abstract

Summary The problem of fault‐tolerant attitude tracking control for rigid spacecraft in the presence of inertia uncertainties, actuator faults, and external disturbances is investigated in this paper. A novel adaptive finite‐time continuous fault‐tolerant control strategy is developed by combining the fast nonsingular terminal sliding mode surface and the adaptive multivariable super‐twisting algorithm, which improves the robustness while preserving high accuracy and finite‐time convergence. The main features of the control strategy are the double‐layer adaptive algorithm based on equivalent control, which ensures nonoverestimation of the control gain and the continuous controller, which maintains better property of chattering reduction. Finally, the efficiency of the proposed controller is illustrated by numerical simulations.

Prescribed performance fault‐tolerant attitude control for flexible spacecraft under limited communication network

“…then the actuator faults and quantization error will be compensated effectively, and the tracking error 𝜎 e is convergent with prescribed performance (29) and (30). Moreover, the tracking error 𝜔 e is also bounded.…”

“…It should be pointed out that, convergent rate [27] and control accuracy are two key indicators denoting transient and steady performance in practical aerospace engineering projects, respectively. To achieve the above characteristics, some potential control schemes are developed such as finite-time control [28][29][30][31], fixed-time control [32][33][34][35], prescribed performance control (PPC) [15,36,37] etc. Among them, the prescribed performance control design proposed by Bechlioulis and Rovithakis attract much attention, which can guarantee the system states satisfying predesigned steady and transient performance requirements strictly [38].…”

Robust tracking control of quadrotor via on‐policy adaptive dynamic programming

“…Suppose l(0) = 0, then l(t) ≥ 0 according to (17), which means ≤ qd 1 . We next consider those two cases to analyze the derivative of V 13 .…”

“…It is well known that sliding mode control (SMC) is one of the most important tools for control of uncertain systems. [15][16][17] In addition, SMC is a type of variable structure control algorithm proposed by the most nonlinear system. The controller designed according to sliding mode theory forces the system to move according to a predetermined "sliding mode" state trajectory, and finally reaches a steady state.…”

“…Therefore, we cannot ignore the impact of external disturbances on quadrotor control. It is well known that sliding mode control (SMC) is one of the most important tools for control of uncertain systems 15‐17 . In addition, SMC is a type of variable structure control algorithm proposed by the most nonlinear system.…”