Periodic output feedback stabilization of single-input single-output continuous-time systems with odd relative degree

Moreau, Lpm Luc; Aeyels, Dirk

doi:10.1016/j.sysconle.2003.10.001

Cited by 33 publications

(9 citation statements)

References 10 publications

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“…An effective way of managing pole placement problem is the use of periodic controllers. The problem of stabilization by means of time-periodic feedback gains in non-delayed systems has been presented by Brockett (1998) Moreau and Aeyels (2004) for sinusoidal control gains. The solution to the problem for a wide class of systems -without delay -was presented by Boikov (2005).…”

Section: Consider the Linear Systeṁmentioning

confidence: 99%

Brockett problem for systems with feedback delay

Insperger

Stépàn

2008

IFAC Proceedings Volumes

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Section: Consider the Linear Systeṁmentioning

confidence: 99%

Brockett problem for systems with feedback delay

Insperger

Stépàn

2008

IFAC Proceedings Volumes

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“…The idea of stabilizing by parametric excitation comes from the classical example of the pendulum: the upper position of a pendulum can be stabilized by vertically vibrating its pivot point [15]. For memoryless feedback control systems, several papers have been published on the stabilization effect of periodic feedback for both time-discrete [16,17] and time-continuous systems [18][19][20].…”

Section: Proceedings Of Idetc/cie 2005 Asme 2005 International Designmentioning

confidence: 99%

Act and Wait Concept in Force Controlled Systems With Discrete Delayed Feedback

Insperger

Stépàn

2005

Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C

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A 1 DOF model of force control is considered with discrete delayed feedback. The act and wait control concept is introduced as a special case of periodic control: the feedback gain is constant for a sampling period (act), then it is zero for a certain number of periods (wait), then it is constant again, etc. It is shown that by applying the act and wait concept, the stability properties of the system improve and the force error caused by the Coulomb friction decreases. If the period of gain variation is larger than the feedback delay, then the system performance changes radically: the stability properties improve significantly, and the optimal control parameters can provide dead beat control. This way, by using the act and wait concept, the delay effects are eliminated from the system.

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“…One of the problems, which stimulated many publications was the Brockett problem on the stabilizability of time-invariant linear system by means of constructing a static time-varying output linear feedback. This problem was solved in many important cases in the works [Leonov, 2001, Moreau et al, 2004, where the algorithms of low-frequency and high-frequency stabilization were constructed. It was shown that in the case of twoand three-dimensional systems the introduction of timevarying output feedback enlarges its possibilities.…”

Section: Introductionmentioning

confidence: 99%