A note on extension of the eigenvalue concept

Zhu, J. Jim

doi:10.1109/37.248014

IEEE Control Syst.

1993

DOI: 10.1109/37.248014

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A note on extension of the eigenvalue concept

J. Jim Zhu

Abstract: Two parametrized linear periodic systems are presented here for use in advanced senior and graduate control courses to demonstrate the issues arising in attempting to extend the eigenvalue concept for linear time-invariant systems to linear time-varying systems.

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Cited by 24 publications

References 9 publications

(6 reference statements)

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Trajectory linearization based output tracking control of an unmanned tandem helicopter with variance constraints

Liu

Jing

2010

Int. J. Control Autom. Syst.

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An output tracking control problem for an unmanned tandem rotor helicopter with variance constraints is investigated in this paper. A modified Trajectory Linearization Control (TLC) is proposed to stabilize a nonlinear continuous-time flight dynamics system of the tandem helicopter. The tracking controller structure of TLC is designed by using two-time-scale nonlinear dynamic inversion. The base control law of the translational and attitude loops is designed in a pseudo-inversion feedforward controller to deal with nonlinear features of the plant and a proportional integral controller to stabilize the linear slowly time-variant error system resulted from the nonlinear flight system. Furthermore, a feasible TLC strategy is designed to meet a performance index set including steady trajectory tracking error variance and desired Parallel D-spectrum (PD-) eigenvalues to achieve good flight quality. The Variance-constrained Trajectory Linearization Control (VCTLC) is designed to realize the desired steady tracking precision and agile capability. Flight simulation results show the VCTLC method is feasible and effective in attitude and altitude tracking.

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Trajectory linearization based output tracking control of an unmanned tandem helicopter with variance constraints

Liu

Jing

2010

Int. J. Control Autom. Syst.

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A highly scalable path-following controller for N-trailers with off-axle hitching

Michałek¹

2014

Control Engineering Practice

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Singular perturbation margin and generalised gain margin for linear time-invariant systems

Yang

Zhu

2014

International Journal of Control

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A note on extension of the eigenvalue concept

Abstract: Two parametrized linear periodic systems are presented here for use in advanced senior and graduate control courses to demonstrate the issues arising in attempting to extend the eigenvalue concept for linear time-invariant systems to linear time-varying systems.

Cited by 24 publications

References 9 publications

Trajectory linearization based output tracking control of an unmanned tandem helicopter with variance constraints

Trajectory linearization based output tracking control of an unmanned tandem helicopter with variance constraints

A highly scalable path-following controller for N-trailers with off-axle hitching

Singular perturbation margin and generalised gain margin for linear time-invariant systems

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