Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

doi:10.3390/s20030848

. 2020 Feb 5;20(3):848.

doi: 10.3390/s20030848.

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Cong Feng¹, Qing Wang¹, Chen Liu², Changhua Hu³, Xiaohui Liang¹

Affiliations

¹ Department of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China.
² Science and Technology on Special System Simulation Laboratory, Beijing Simulation Center, Beijing 100854, China.
³ Department of Automation, High-Tech Institute of Xi'an, Xi'an 710000, China.

PMID: 32033432
PMCID: PMC7038718
DOI: 10.3390/s20030848

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Cong Feng et al. Sensors (Basel). 2020.

. 2020 Feb 5;20(3):848.

doi: 10.3390/s20030848.

Authors

Cong Feng¹, Qing Wang¹, Chen Liu², Changhua Hu³, Xiaohui Liang¹

Affiliations

¹ Department of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China.
² Science and Technology on Special System Simulation Laboratory, Beijing Simulation Center, Beijing 100854, China.
³ Department of Automation, High-Tech Institute of Xi'an, Xi'an 710000, China.

PMID: 32033432
PMCID: PMC7038718
DOI: 10.3390/s20030848

Abstract

This study is concerned with the attitude control problem of variable-structure near-space vehicles (VSNSVs) with time-varying state constraints based on switched nonlinear system. The full states of vehicles are constrained in the bounded sets with asymmetric time-varying boundaries. Firstly, considering modeling uncertainties and external disturbances, an extended state observer (ESO), including two distinct linear regions, is proposed with the advantage of avoiding the peaking value problem. The disturbance observer is utilized to estimate the total disturbances of the attitude angle and angular rate subsystems, which are described in switched nonlinear systems. Then, based on the estimation values, the asymmetric time-varying barrier Lyapunov function (BLF) is employed to construct the active disturbance rejection controller, which can ensure the full state constraints are not violated. Furthermore, to resolve the 'explosion of complexity' problem in backstepping control, a modified dynamic surface control is proposed. Rigorous stability analysis is given to prove that all signals of the closed-loop system are bounded. Numerical simulations are carried out to demonstrate the effectiveness of the proposed control scheme.

Keywords: active disturbance rejection control; dynamic surface control; switched nonlinear system; time-varying state constraints; variable structure near space vehicle.

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Conflict of interest statement

The authors declare no conflict of interest.

Figures

**Figure 2**
Comparison curves of the angle of attack $α$ tracking performance.

**Figure 3**
Comparison curves of the sideslip $β$ tracking performance.

**Figure 4**
Comparison curves of the bank angle $μ$ tracking performance.

**Figure 5**
Comparison curves of the roll rate $p$ .

**Figure 6**
Comparison curves of the pitch rate $q$ .

**Figure 7**
Comparison curves of the yaw rate $r$ .

**Figure 8**
Comparison curves of the left elevon.

**Figure 9**
Comparison curves of the right elevon.

**Figure 10**
Comparison curves of the rudder.

**Figure 11**
Estimation error of total disturbances $‖ {\tilde{d}}_{a} ‖$ .

**Figure 12**
Estimation error of total disturbances $‖ {\tilde{d}}_{v} ‖$ .

See this image and copyright information in PMC

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References

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[1] Xu H., Mirmirani M.D., Ioannou P.A. Adaptive sliding mode control design for a hypersonic flight vehicle. J. Guid. Control Dyn. 2004;27:829–838. doi: 10.2514/1.12596. - DOI

[2] Xu H., Mirmirani M.D., Ioannou P.A. Adaptive sliding mode control design for a hypersonic flight vehicle. J. Guid. Control Dyn. 2004;27:829–838. doi: 10.2514/1.12596. - DOI

[3] Jiang B., Xu D., Shi P., Lim C.C. Adaptive neural observer-based backstepping fault tolerant control for near space vehicle under control effector damage. IET Contr. Theory Appl. 2014;8:658–666. doi: 10.1049/iet-cta.2013.0404. - DOI

[4] Jiang B., Xu D., Shi P., Lim C.C. Adaptive neural observer-based backstepping fault tolerant control for near space vehicle under control effector damage. IET Contr. Theory Appl. 2014;8:658–666. doi: 10.1049/iet-cta.2013.0404. - DOI

[5] Yin F., Ye D., Zhu C., Qiu L., Huang Y. Stretchable, highly durable ternary nanocomposite strain sensor for structural health monitoring of flexible aircraft. Sensors. 2017;17:2677. doi: 10.3390/s17112677. - DOI - PMC - PubMed

[6] Yin F., Ye D., Zhu C., Qiu L., Huang Y. Stretchable, highly durable ternary nanocomposite strain sensor for structural health monitoring of flexible aircraft. Sensors. 2017;17:2677. doi: 10.3390/s17112677. - DOI - PMC - PubMed

[7] Xia R., Wu Q., Chen M. Disturbance observer-based optimal longitudinal trajectory control of near space vehicle. Sci. China-Inf. Sci. 2019;62:50212. doi: 10.1007/s11432-018-9683-y. - DOI

[8] Xia R., Wu Q., Chen M. Disturbance observer-based optimal longitudinal trajectory control of near space vehicle. Sci. China-Inf. Sci. 2019;62:50212. doi: 10.1007/s11432-018-9683-y. - DOI

[9] Jiang B., Gao Z., Shi P., Xu Y. Adaptive fault-tolerant tracking control of near-space vehicle using Takagi–Sugeno fuzzy models. IEEE Trans. Fuzzy Syst. 2010;18:1000–1007. doi: 10.1109/TFUZZ.2010.2058808. - DOI

[10] Jiang B., Gao Z., Shi P., Xu Y. Adaptive fault-tolerant tracking control of near-space vehicle using Takagi–Sugeno fuzzy models. IEEE Trans. Fuzzy Syst. 2010;18:1000–1007. doi: 10.1109/TFUZZ.2010.2058808. - DOI

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Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Affiliations

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Authors

Affiliations

Abstract

Conflict of interest statement

Figures

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References

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