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Approximate trajectory tracking of input-disturbed PVTOL aircraft with delayed attitude measurements. (English) Zbl 1204.93030

Summary: We address the flight-trajectory tracking problem of an input-disturbed Planar Vertical Take-Off and Landing (PVTOL) aircraft with delayed attitude measurements. By applying the first-order Padé approximation to deal with the time delay functions, the problem is reduced to the output tracking of a new non-minimum-phase system without delay. A tracking controller, consisting of a linear static-state feedback term, a switching control term and a nonlinear auxiliary input term, is proposed for robust stabilization of the output-tracking errors together with the internal dynamics. Numerical simulations are performed to show the main results.

MSC:

93B12 Variable structure systems
93C85 Automated systems (robots, etc.) in control theory
93D15 Stabilization of systems by feedback
93C10 Nonlinear systems in control theory
Full Text: DOI

References:

[1] Isidori, Nonlinear Control Systems (1995) · doi:10.1007/978-1-84628-615-5
[2] Devasia, Nonlinear inversion-based output tracking, IEEE Transactions on Automatic Control 41 pp 930– (1996) · Zbl 0859.93006
[3] Shkolnikov, Tracking controller design for a class of nonminimum-phase systems via the method of system center, IEEE Transactions on Automatic Control 46 pp 1639– (2001) · Zbl 1031.93081
[4] Huang, Output tracking of nonlinear nonminimum phase PVTOL aircraft based on nonlinear state feedback control, International Journal of Control 75 pp 466– (2002) · Zbl 1019.93033
[5] Al-Hiddabi, Tracking and maneuver regulation control for nonlinear non-minimum phase systems: application to flight control, IEEE Transactions on Control Systems Technology 10 pp 780– (2002)
[6] Wang, Output tracking for nonlinear non-minimum phase systems and application to PVTOL aircraft, International Journal of Systems Science 39 pp 29– (2008) · Zbl 1138.93357
[7] Utkin, Sliding Modes in Control Optimization (1992) · doi:10.1007/978-3-642-84379-2
[8] Piergiovanni, Time-delay effects on linear/nonlinear feedback control of simple aeroelastic systems, Journal of Guidance, Control, and Dynamics 28 pp 53– (2005)
[9] Liu HT Brandel F Compensator design for large time delay in a flight control system 46 16 19
[10] Smith RE Sarrafian SK Effect of time delay on flying qualities: an update 1986
[11] Hauser, Nonlinear control design for slightly nonminimum phase systems: application to V/STOL aircraft, Automatica 28 pp 665– (1992) · Zbl 0775.93071
[12] Benvenuti, Approximate output tracking for nonlinear nonminimum phase systems with an application to flight control, International Journal of Robust and Nonlinear Control 4 pp 397– (1993)
[13] Martin, Proceedings of the CDC’94 pp 2376– (1994)
[14] Sira-Ramirez H Fliess M Regulation of non-minimum phase outputs in a PVTOL aircraft 4222 4227 · Zbl 0787.93018
[15] Shkolnikov, Aircraft nonminimum phase control in dynamic sliding manifolds, Journal of Guidance, Control, and Dynamics 24 pp 566– (2001)
[16] Niemieca, Nonlinear model-state feedback control for nonminimum-phase processes, Automatica 39 pp 1295– (2003)
[17] Chen, A sliding mode control scheme for non-minimum phase non-linear uncertain input-delay chemical processes, Journal of Process Control 16 pp 37– (2006)
[18] Dorf, Modern Control Systems (1995)
[19] Shtessel, Sliding mode control of nonlinear systems with time-delayed control using Padé approximation and Smith Predictor, Private Memorandum 29 (2003)
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