The decentralized minimal controller synthesis algorithm

Benchoubane, H.; Stoten, David P

doi:10.1080/00207179208934352

Cited by 35 publications

(27 citation statements)

References 5 publications

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“…For linear time-invariant uncertainty, the L 1 -gain of blocks D ij can be replaced by the A-norm of their impulse response matrices, denoted by jjD ij ðtÞjj A ; such that condition (17) specializes in this case as…”

Section: Remarkmentioning

confidence: 99%

“…Conditions equivalent to (17) can be obtained from the theory of non-negative and M-matrices as * there exists an induced norm jj Á jj on R N ÂN such that jjPjj51;…”

Section: Remarkmentioning

confidence: 99%

“…Furthermore, easy-to-check sufficient conditions for (17) to be met are derived from Gershgorin's theorem as jjPjj 1 51; jjPjj 1 51 ð31Þ…”

Section: Remarkmentioning

confidence: 99%

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Necessary and sufficient conditions for robust perfect tracking under variable structure control

Balluchi¹,

Bicchi

2002

Intl J Robust & Nonlinear

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Section: Remarkmentioning

confidence: 99%

“…Conditions equivalent to (17) can be obtained from the theory of non-negative and M-matrices as * there exists an induced norm jj Á jj on R N ÂN such that jjPjj51;…”

Section: Remarkmentioning

confidence: 99%

See 1 more Smart Citation

Necessary and sufficient conditions for robust perfect tracking under variable structure control

Balluchi¹,

Bicchi

2002

Intl J Robust & Nonlinear

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show abstract

“…For the design of the control law we assume that the entries of the plant matrices are unknown but within the following ranges: 36,4.64]. According to this possible plant parameter variation and in order to satisfy Assumption C.ii, the integral part of the adaptive gains has been limited as follows: α E .…”

Section: Numerical Validationmentioning

confidence: 99%

“…Moreover, the theoretical body of the MCS has been enhanced with several extensions to the original algorithms for continuous-time and discrete-time systems. Among the first ones are the decentralized MCS [4], the extended MCS [38] -which includes a switching action to cope with rapidly varying disturbances-, and the Integral MCS (MCSI) [37] -with an explicit integral action to make the control effort independent of the operation set point and to prevent possible gain wind-up due to plant disturbances and signal offsets-. More recently, novel MCS strategies have been proposed also for controlling Piecewise Affine (PWA) systems [14,15], which have been experimentally validated in [16].…”

Section: Introductionmentioning

confidence: 99%

Discrete-time integral MRAC with minimal controller synthesis and parameter projection

Montanaro

Olm

2015

Journal of the Franklin Institute

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Model reference adaptive controllers with Minimal Control Synthesis are effective control algorithms to guarantee asymptotic convergence of the tracking error to zero not only for disturbance-free uncertain linear systems, but also for highly nonlinear plants with unknown parameters, unmodeled dynamics and subject to perturbations. However, an apparent drift in adaptive gains may occasionally arise, which can eventually lead to closed-loop instability. In this article, we address this key issue for discrete-time systems under L 2 disturbances using a parameter projection algorithm. A consistent proof of stability of all the closed-loop signals is provided, while tracking error is shown to asymptotically converge to zero. We also show the applicability of the adaptive algorithm for digitally controlled continuous-time plants. The proposed algorithm is numerically validated taking into account a discrete-time LTI system subject to parameter uncertainty, parameter variations and L 2 disturbances. Finally, as a possible engineering application of this novel adaptive strategy, the control of a highly nonlinear electromechanical actuator is considered.

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Adaptive control of rigid body satellite

Arif

2008

Int. J. Autom. Comput.

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The minimal controller synthesis (MCS) is an extension of the hyperstable model reference adaptive control algorithm. The aim of minimal controller synthesis is to achieve excellent closed-loop control despite the presence of plant parameter variations, external disturbances, dynamic coupling within the plant and plant nonlinearities. The minimal controller synthesis algorithm was successfully applied to the problem of decentralized adaptive schemes. The decentralized minimal controller synthesis adaptive control strategy for controlling the attitude of a rigid body satellite is adopted in this paper. A model reference adaptive control strategy which uses one single three-axis slew is proposed for the purpose of controlling the attitude of a rigid body satellite. The simulation results are excellent and show that the controlled system is robust against disturbances.

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The decentralized minimal controller synthesis algorithm

Cited by 35 publications

References 5 publications

Necessary and sufficient conditions for robust perfect tracking under variable structure control

Necessary and sufficient conditions for robust perfect tracking under variable structure control

Discrete-time integral MRAC with minimal controller synthesis and parameter projection

Adaptive control of rigid body satellite

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