Invertibility and trajectory control for nonlinear maneuvers of aircraft

Azam, Misbahul; Singh, Sahjendra N.

doi:10.2514/3.21178

Cited by 80 publications

(19 citation statements)

References 13 publications

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“…Suppose that the sliding mode exists in the system (4) in local dynamic sliding manifolds Eq. (8). Then the output tracking errors e k = y % -y k in the system (4) are described by the decoupled linear operator equations -0 (9) in the sliding manifold equation (8).…”

Section: Decentralized Nonlinear Sliding Manifold Designmentioning

confidence: 99%

“…Design the dynamic sliding manifolds using formulas (8) transformed to the initial basis of the system (1). This is…”

Section: Decentralized Nonlinear Sliding Manifold Designmentioning

confidence: 99%

“…7 These concepts were realized in various nonlinear control systems including continuous aircraft trajectory control 8 and one-input-one-output nonlinear dynamic sliding mode output tracking. 9 ' 10 In the last two works the concept of dynamic sliding surface was naturally introduced based on the equations of nonlinear inverse dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Decentralized sliding mode control in three-axis inertial platforms

Shtessel

1995

Journal of Guidance, Control, and Dynamics

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The accuracy improvement of three-axis inertial platform stabilization systems with a dynamically tuned gyroscope sensor is addressed by methods of variable structure control. The decentralized sliding mode control strategy has been worked out and applied for the design of the stabilization system of the three-axis inertial platform. The nonlinear transformations of bases in the nonlinear interconnected subsystems have been found, based on remaining dynamics. These transformations changed the subsystems to the forms convenient for the sliding mode synthesis. The local sliding manifolds have been designed in the form of nonlinear functions and nonlinear dynamic operators to provide the desired linear decoupled output tracking (stabilization) in each axis of the inertial platform stabilization system. The system with the dynamic sliding mode controller obtained the combined features of the system with a conventional dynamic compensator (accommodation to unmatched disturbances) and a conventional sliding mode controller (insensitivity to matched disturbances). The results of the simulation of the three-axis inertial platform stabilization system with the designed conventional and the dynamic sliding mode controllers showed significant improvement of the accuracy (2-3 tunes better then in the systems with linear controllers) of the platform stabilization.

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Section: Decentralized Nonlinear Sliding Manifold Designmentioning

confidence: 99%

“…Design the dynamic sliding manifolds using formulas (8) transformed to the initial basis of the system (1). This is…”

Section: Decentralized Nonlinear Sliding Manifold Designmentioning

confidence: 99%

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Decentralized sliding mode control in three-axis inertial platforms

Shtessel

1995

Journal of Guidance, Control, and Dynamics

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“…In recent years, trajectory tracking and configuration stabilisation of vertical take off and landing (VTOL) aircraft have been extensively studied by many researchers (Meyer, Su, and Hunt 1984;Lane and Stengel 1988;Bugajski and Enns 1992;Hauser, Sastry, and Meyer 1992;Azzam and Singh 1994;Lin, Zhang, and Brandt 1999;Reza 2002;Do, Jiang, and Pan 2003). The main difficulty with controlling VTOL aircraft is that it is non-minimum phase and underactuated.…”

Section: Introductionmentioning

confidence: 99%

Tracking control for VTOL aircraft with disabled IMUs

Wang

Liu

Cai

2010

International Journal of Systems Science

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This article focuses on the design of an output feedback controller able to achieve the asymptotic tracking of a reference trajectory for vertical take off and landing aircraft with disabled inertial measurement units (IMUs). Roll angle and roll rate cannot be measured directly when IMUs are disabled. A dynamic linear observer is designed to estimate the tracking errors of the roll angle and equivalent roll angular velocity with respect to their desired states. Moreover, based on the centre manifold theory and on the equivalent control, the closed-loop system is asymptotically convergent. The theoretical results are confirmed by computer simulations.

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“…thus with an underactuated system in partly specified motion, m < n. This problem will be given a more detailed consideration in Section 4. The final relevant technical example reported in this paper is the aircraft control problem in prescribed trajectory flight [12][13][14], illustrated in Fig. 4.…”

Section: Introductionmentioning

confidence: 99%

Control of underactuated mechanical systems with servo-constraints

Blajer

Kołodziejczyk

2007

Nonlinear Dyn

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This paper deals with a class of controlled mechanical systems in which the number of control inputs, equal to the number of desired system outputs, is smaller than the number of degrees of freedom. The related inverse dynamics control problem, i.e., the determination of control input strategy that force the underactuated system to complete the partly specified motion, is a challenging task. In the present formulation, the desired system outputs, expressed in terms of the system states, are treated as servo-constraints on the system, and the problem is viewed from the constrained motion perspective. Mixed orthogonal-tangent realization of the constraints by the available control reactions is stated, and a specialized methodology for solving the "singular" control problem is developed. The governing equations are manipulated to index three differential-algebraic equations, and a simple numerical code for solving the equations is proposed. The feedforward control law obtained as a solution to these equations can then be enhanced by a closed-loop control strategy with feedback of the actual servo-constraint violations to provide stable tracking of the reference motion in the presence of perturbations and modeling uncertainties. An overhead trolley crane executing a load-prescribed motion serves as an illustration. Some results of numerical simulations are reported.

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Invertibility and trajectory control for nonlinear maneuvers of aircraft

Cited by 80 publications

References 13 publications

Decentralized sliding mode control in three-axis inertial platforms

Decentralized sliding mode control in three-axis inertial platforms

Tracking control for VTOL aircraft with disabled IMUs

Control of underactuated mechanical systems with servo-constraints

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