Application of velocity-based gain-scheduling to lateral auto-pilot design for an agile missile

Leith, Douglas J.; Tsourdos, Antonios; White, Brian; Leithead, W.E.

doi:10.1016/s0967-0661(01)00077-6

Cited by 8 publications

(8 citation statements)

References 15 publications

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“…Example Missile lateral dynamics Consider a skid-to-turn missile with lateral dynamics described (Leith et al 2000) by the family of frozenparameter transfer functions …”

Section: A Reconstruction Methodologymentioning

confidence: 99%

“…This is the situation, for example, in divide and conquer identification (because only inputoutput data is measurable, see for example McLoone & Irwin 2000) and many forms of gain-scheduling design (because the linear methods used to carry out point designs are generally insensitive to the choice of state-space realisation, see for example Leith & Leithead 2000). It is clear that, for each linear system, it is necessary to determine the appropriate choice of state which cannot be uniquely inferred from conventional transfer function information alone.…”

Section: Preliminariesmentioning

confidence: 99%

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Global Reconstruction of Nonlinear Systems From Families of Linear Systems

Leith

Leithead

2002

IFAC Proceedings Volumes

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This note concerns a fundamental issue in the modelling and realisation of nonlinear systems; namely, whether it is possible to uniquely reconstruct a nonlinear system from a suitable collection of transfer functions and, if so, under what conditions. It is established that a family of frozen-parameter linearisations may be associated with a class of nonlinear systems to provide an alternative realisation of such systems. Nevertheless, knowledge of only the inputoutput dynamics (transfer functions) of the frozen-parameter linearisations is insufficient to permit unique reconstruction of a nonlinear system. The difficulty with the transfer function family arises from the degree of freedom available in the choice of state-space realisation of each linearisation. Under mild structural conditions, it is shown that knowledge of a family of augmented transfer functions is sufficient to permit a large class of nonlinear systems to be uniquely reconstructed. Essentially, the augmented family embodies the information necessary to select state-space realisations for the linearisations which are compatible with one another and with the underlying nonlinear system. The results are constructive, with a state-space realisation of the nonlinear system associated with a transfer function family being obtained as the solution to a number of linear equations. IntroductionThis note concerns a fundamental issue in the modelling and realisation of nonlinear systems; namely, whether it is possible to uniquely reconstruct a nonlinear system from a suitable collection of transfer functions and, if so, under what conditions. Families of linear systems play an important role in many areas of nonlinear systems theory and practice. The construction of nonlinear systems related to a family of linear systems is, for example, the subject of the pseudo-linearisation (e.g. Reboulet & Champetier 1984) and extended linearisation (e.g. Rugh 1986) approaches and plays a central role in the choice of realisation of gain-scheduled controllers (e.g. Lawrence & Rugh 1995, Leith & Leithead 1996,1998a. Families of linear systems also play an important role in system identification practice (e.g. Skeppstedt et al. 1992, McLoone & Irwin 2000.A key issue in many application domains is that the linear systems are specified only to within a linear state transformation; that is, the choice of state realisation is available as a degree of freedom. This is usually the situation, for example, in divide and conquer identification (because only input-output data is measurable) and many forms of gain-scheduling design (because the linear methods used to carry out point designs are generally insensitive to the choice of state-space realisation). The objective of this note is to investigate the conditions, if any, under which unique, global reconstruction of a nonlinear system is possible. In order to focus on structural factors and to improve the clarity of the development, attention is restricted here to situations where the linearisation family is wellposed...

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“…Example Missile lateral dynamics Consider a skid-to-turn missile with lateral dynamics described (Leith et al 2000) by the family of frozenparameter transfer functions …”

Section: A Reconstruction Methodologymentioning

confidence: 99%

Section: Preliminariesmentioning

confidence: 99%

Global Reconstruction of Nonlinear Systems From Families of Linear Systems

Leith

Leithead

2002

IFAC Proceedings Volumes

Self Cite

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“…In many studies of missile autopilot design, 3,5,6,9,10,12,13) and small angle-of-attack approximations; i.e., cos % 1 and sin % 0, are widely used to simplify the equation of motion as shown in Eq. (7).…”

Section: Missile Modelmentioning

confidence: 99%

“…For the separation and the terminal homing phase, the body rate and the body acceleration commands are typically recommended, respectively. For the agile turn phase, two options such as the body acceleration [3][4][5][6][7][8][9] and the angle-of-attack, 1,[10][11][12][13] are possible autopilot command structures. According to Ref.…”

Section: Introductionmentioning

confidence: 99%

Agile Missile Autopilot Design using Nonlinear Backstepping Control with Time-Delay Adaptation

Lee

Tahk

2014

Trans. Japan Soc. Aero. S Sci.

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This paper deals with a nonlinear adaptive autopilot design for agile missile systems. During the agile turn, there exist highly nonlinear, rapidly changing dynamics and aerodynamic uncertainties. To handle these difficulties, we propose a longitudinal autopilot for angle-of-attack tracking based on backstepping control methodology in conjunction with the time-delay adaptation scheme. The performance of the proposed method is investigated through nonlinear 6-DOF simulations using a reference angle-of-attack profile of agile turn that is obtained from trajectory optimization. An intercept scenario is performed to explore the applicability of the proposed control methodology to agile missile systems.

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“…Velocity-based linearisation (Leith & Leithead, 1998) provides a method of generating linear models that are applicable away from equilibrium conditions and has been shown to be appropriate for modelling high performance vehicles (Leith et al, 2001). Partial differentiation of the nonlinear vehicle model at any operating condition with respect to time yields a linear model…”

Section: Vehicle Model: Velocity Based Linearisationmentioning

confidence: 99%

Automatic lateral emergency collision avoidance for a passenger car

Bevan

Gollee

O’Reilly

2007

International Journal of Control

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Longitudinal collision avoidance controllers are of limited benefit for preventing head-on collisions between road vehicles travelling at high speed or for preventing rear end collisions when there is insufficient separation between the vehicles. In these circumstances, aggressive lateral vehicle manoeuvres are more appropriate. This paper develops a controller architecture to perform an emergency lateral collision avoidance manoeuvre. Simulation results indicate significant improvements in collision avoidance at vehicle speeds up to 100 [km/hr] using integrated automatic steering and braking.

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Application of velocity-based gain-scheduling to lateral auto-pilot design for an agile missile

Cited by 8 publications

References 15 publications

Global Reconstruction of Nonlinear Systems From Families of Linear Systems

Global Reconstruction of Nonlinear Systems From Families of Linear Systems

Agile Missile Autopilot Design using Nonlinear Backstepping Control with Time-Delay Adaptation

Automatic lateral emergency collision avoidance for a passenger car

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