Nonsingular finite-time second order sliding mode attitude control for reentry vehicle

Abstract

This paper presents nonlinear robust flight control strategies for the reentry vehicle which is nonlinear, coupling, and includes parameter uncertainties and external disturbances. Firstly, a finitetime second order sliding mode attitude control strategy is pointed out with the introduction of a nonsingular finite-time sliding mode manifold. By the proposed controller, the attitude tracking errors are mathematically proved to converge to zero within finite time and the chattering of sliding mode controller is alleviated without any deterioration of robustness and accuracy. For further alleviation of chattering, a smooth second order sliding mode attitude control strategy is then designed based on an improved nonsingular finite-time sliding mode manifold. Finally, the proposed strategies are applied to the attitude control of X-33 RLV in the reentry phase to verify the validity and robustness of the proposed strategies.

Almost global finite-time stabilization of rigid body attitude dynamics using rotation matrices

“…which is a sufficient condition for all trajectories starting outside this neighborhood and in the almost global domain of convergence of .I; 0/ to converge to this neighborhood. Expression (31) leads to expression (28) for the bound on the norm of the disturbance torque d for which convergence of state trajectories to the neighborhood N of .I; 0/ is guaranteed.…”

“…This confirms earlier findings on greater robustness of finite-time stability to persistent disturbances, when compared with asymptotic stability. Note that the bound given by inequality (28) in Corollary 2 depends on the control gain values k 1 , k p , k v , and a i , i D 1; 2; 3. For a given value of these control gains, this bound may be conservative, because it is obtained as a sufficient condition for state trajectories to converge to this neighborhood.…”

“…Continuous finite-time stability has been dealt with in [15,16,[18][19][20], for example, while discontinuous sliding mode control schemes that also provide finitetime stability have been extensively researched in the past [21][22][23][24]. In addition, chatter-free sliding mode control schemes exist [25][26][27] and have also been applied to attitude control using unit quaternions [28]. The main advantages of continuous over discontinuous finite-time stabilization are as follows: (i) it can be implemented with actuators that cannot provide discontinuous inputs; (ii) it does not suffer from chattering in the presence of measurement noise; (iii) it does not require analysis of solutions of discontinuous systems in the sense of Filippov [21,22]; and (iv) it does not excite unmodeled high-frequency dynamics in contrast to discontinuous feedback [15].…”

A novel guaranteed tracking performance control for reentry vehicle with actuator constraints and uncertainties

“…There exist several control methodologies for reentry vehicle in the literature. For example, the dynamics inversion (DI) control (Georgie and Valasek, 2003); linear parameter-varying (LPV) approach (Cai et al, 2014; Costa et al, 2003); trajectory linearization control (TLC) (Shao and Wang et al, 2015, 2016); sliding mode control (SMC)-based methods (Hall and Shtessel, 2012; Sheng, et al, 2015; Sheng et al, 2015); and finite time sliding mode control (FTSMC) technique (Guo et al, 2018b; Tian et al, 2015a, 2015b, 2018).…”

Neural network‐based multivariable fixed‐time terminal sliding mode control for re‐entry vehicles

“…Compared with conventional linear SMCs, TSMC offers the system a finite‐time convergence property and high tracking precision. In [14], a non‐singular sliding surface was constructed and a second‐order TSMC strategy was designed for finite‐time tracking and chattering reduction. An improved non‐singular TSMC method was proposed and a faster convergence speed was achieved compared with traditional non‐singular TSMC by introducing two exponential terms on the sliding surface [15].…”