Tracking Performance Limitations of Random Signal in Multivariable Discrete-time Systems

Ding, Li; Guan, Zhi‐Hong; Wang, Hou-Neng

doi:10.3724/sp.j.1004.2010.00446

Cited by 8 publications

(7 citation statements)

References 8 publications

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“…To get the expression of S xe (e i ), we can first calculate S ex (e i ) from (13). It is clear that …”

Section: Detailed Derivation Of (1)mentioning

confidence: 99%

“…Manuscript Recently, many works have been devoted to dealing with the stabilization problem of the control system over communication channels [9][10][11][12][13][14][15][16]. Many challenges occur when the controller is connected to the plant via communication channels in the feed-forward loop and feedback loop.…”

Section: Introductionmentioning

confidence: 99%

“…Many challenges occur when the controller is connected to the plant via communication channels in the feed-forward loop and feedback loop. The tracking performance in [13,14] has been discussed over the AWGN channel. These factors also have a great influence on the system performance besides classical system factors.…”

Section: Introductionmentioning

confidence: 99%

“…These factors also have a great influence on the system performance besides classical system factors. Manuscript Recently, many works have been devoted to dealing with the stabilization problem of the control system over communication channels [9][10][11][12][13][14][15][16]. For instance, in [10][11][12], the robust stabilization of feedback control over additive white Gaussian noise (AWGN) communication channel has been investigated in the presence of unstructured uncertainty.…”

Section: Introductionmentioning

confidence: 99%

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Tracking Performance Bound with Finite Control Energy and Erasure Channel Energy Constraint

Wang¹,

Zhang²,

Guan³

et al. 2015

Asian Journal of Control

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This paper studies the tracking performance of the single-input single-output (SISO), finite dimensional, linear and time-invariant (LTI) system under the channel input energy constraint over the Erasure channel. A new performance index is proposed which is minimized over all two-degree-of-freedom stabilizing controllers. The explicit expressions of the lower bound of the performance index and the minimum of the signal-to-noise ratio are obtained. The results show that the performance bound is correlated to unstable poles, non-minimum phase zeros and the packet loss probability.Finally, examples are given to validate the conclusions derived.

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“…To get the expression of S xe (e i ), we can first calculate S ex (e i ) from (13). It is clear that …”

Section: Detailed Derivation Of (1)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Tracking Performance Bound with Finite Control Energy and Erasure Channel Energy Constraint

Wang¹,

Zhang²,

Guan³

et al. 2015

Asian Journal of Control

Self Cite

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show abstract

“…Lampe (2000, 2006), Toker, Chen, and Qiu (2002), Ding, Guan, and Wang (2010), Polyakov, Rosenwasser, and Lampe (2001, 2003a, 2003b, Polyakov, Rosenwasser, Ladisch, and Lampe (2004), Polyakov (2001aPolyakov ( , 2001bPolyakov ( , 2001c, and Rosenwasser, Polyakov, and Lampe (1999).…”

Section: Introductionmentioning

confidence: 98%

-optimisation and fixed poles of multivariable sampled-data systems with delay

Lampe

Rosenwasser

2014

International Journal of Control

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Using the parametric transfer matrix (PTM) of sampled-data (SD) systems with pure time delay, the paper generalises the polynomial method for solving the L 2 -optimisation problem to the multiple-input multiple-output (MIMO) case. The generalisation is not only a formal act, because in the MIMO case, the PTM method leads to a minimisation problem for a singular quadratic functional, which is connected with honest technical difficulties. Therefore, the paper introduces a special transformation to overcome these difficulties. Some general properties of L 2 -optimal SD systems with delay are investigated. Notice that there always exists a subset of so-called fixed poles, which is responsible for a principal performance restriction of the L 2 -optimal control loop.

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Lower bound of tracking performance with finite control energy and channel energy constraint

Wang

Guan

Yuan

et al. 2013

J. Control Theory Appl.

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Tracking Performance Limitations of Random Signal in Multivariable Discrete-time Systems

Cited by 8 publications

References 8 publications

Tracking Performance Bound with Finite Control Energy and Erasure Channel Energy Constraint

Tracking Performance Bound with Finite Control Energy and Erasure Channel Energy Constraint

-optimisation and fixed poles of multivariable sampled-data systems with delay

Lower bound of tracking performance with finite control energy and channel energy constraint

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