What is the minimum function observer order?

Tsui, Chia-Chi

doi:10.1016/s0016-0032(96)00141-x

Cited by 27 publications

(22 citation statements)

References 8 publications

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“…This paper reasserts and re-proves much more formally, the strong and clear-cut results and claims of [2][3][4][5][7][8][9] (not of [10 and 14]). Based on this proof, a new and stronger claim that those reasserted results constitute the best possible theoretical results of the minimal order linear functional observer design problem, is made.…”

Section: Introductionsupporting

confidence: 67%

“…Claim 1: Equation (5) and its equivalence (7) in strictly proper observer case, is the simplest possible formulation of minimal order linear functional observer design problem [3,[7][8][9].…”

Section: The Theoretical Part Of This Design Problem Is Solvedmentioning

confidence: 99%

“…It is also very obvious that in order to compute systematically the minimal number of rows of T, the rows of T must be decoupled from each other [2][3][6][7][8][9]. Fortunately, such a closed-form solution T of (2) with complete remaining freedom, was derived in the mid1980s [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

“…the upper bound of r of (6) becomes B U = min{n, 1 + … + p }, (8) and the lower bound B L of r becomes 1, for arbitrarily given K. Based on all of these results, it is claimed in the past 28 years since [5], that (5, 7) is the simplest possible formulation of the whole design problem [3,[7][8][9], and that the B U of (6,8) is the lowest possible upper bound of r [3,[7][8][9].…”

Section: Introductionmentioning

confidence: 99%

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The theoretical part of linear functional observer design problem is solved

Tsui

2014

Proceedings of the 33rd Chinese Control Conference

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A design algorithm of 1986 for minimal order linear functional observers that estimate Kx(t) directly for arbitrarily given K and with arbitrarily given poles, is based on a simplified design formulation that is only a single set of linear equations, and guarantees an observer order upper and lower bounds that are the lowest ever since. Since 1986, it has been claimed that this single set of linear equations is the simplest possible theoretical formulation of the design problem, and that these guaranteed observer order bounds are the lowest possible bounds. This paper formally proves that claim, and further claims and proves that this result of 1986 is the best possible theoretical result of the design problem. This new claim implies that the theoretical part of this problem is solved, that only the computational part of the problem has room for improvement, and this improvement is generically not worthwhile in practice if the algorithm becomes complicated. Only these extremely clear-cut claims can clarify the apparent misconception of the world control community. This misconception is revealed by the following two facts. 1) These claims are too many years after 1986. 2) They are all missed by the research community, because a relatively recent paper only reformulated this design problem to be much more complicated, proposed only the exhaustive numerical search to compute the solution of its complicated reformulation, yet self claimed the only solution to this design problem! If such a clear-cut result of 1986 can be looked down for so long, then any other good result can also have the same fate.

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Section: Introductionsupporting

confidence: 67%

Section: The Theoretical Part Of This Design Problem Is Solvedmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The theoretical part of linear functional observer design problem is solved

Tsui

2014

Proceedings of the 33rd Chinese Control Conference

Self Cite

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“…Since Luenberger's seminal work [11] a significant amount of research is devoted to the problem of observing a linear functional in a time-invariant setting, see for instance [14,26,1,24]. Whereas, unlike the time-invariant counterpart, since [27], few papers dealing with the observer design for time-varying systems.…”

Section: Introductionmentioning

confidence: 99%

A design procedure for a single time-varying functional observer

Rotella¹,

Zambettakis²

2013

52nd IEEE Conference on Decision and Control

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Frequency Control of Photovoltaic–Diesel Hybrid System Connecting to Isolated Power Utility by Using Load Estimator and Energy Storage System

Datta

Senjyu

Yona

et al. 2010

IEEJ Transactions Elec Engng

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In this paper, a control method based on a load power estimator and an energy storage system is proposed for isolated power utility-connected photovoltaic-diesel hybrid system to provide frequency control. Here, photovoltaic power is controlled according to the load variation to minimize the frequency deviations. Load power is estimated by a minimal-order observer. Then, a load variation index is calculated. A base photovoltaic power is produced from the available maximum photovoltaic power using a low-pass filter and is added with the load variation index to generate the command photovoltaic power. Simulation results show that the proposed method is capable of providing frequency control and also delivers the photovoltaic power near the maximum level using an energy storage system. 

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What is the minimum function observer order?

Cited by 27 publications

References 8 publications

The theoretical part of linear functional observer design problem is solved

The theoretical part of linear functional observer design problem is solved

A design procedure for a single time-varying functional observer

Frequency Control of Photovoltaic–Diesel Hybrid System Connecting to Isolated Power Utility by Using Load Estimator and Energy Storage System

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