On robust observer compensator design

Tsui, Chia-Chi

doi:10.1016/0005-1098(88)90116-1

Cited by 33 publications

(18 citation statements)

References 12 publications

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“…Hence this is also the simple reason that the technique of [I] is applicable to nonminimum-phase plants because this technique differs from the Doyle-Stein technique and selects the stable observer poles. In fact, a nonminimum-phase example was presented in [6]. Therefore, the second major comment of the above-mentioned paper' is incorrect.…”

Section: Author's Reply To "Comments On the Loop Transfer Recovery"mentioning

confidence: 76%

“…In [ 5 ] , Euclidean norms for the magnitude are considered and the authors present a recursive algorithm, not necessarily optimal, with similar structure to Kalman filters. In [6] and [7] optimal, not recursive, algorithms are presented for pointwise estimation problems where the uncertainty is magnitude (1,) bounded. Recently, infinite horizon optimal too to 1 , filtering for discrete-time, linear timeinvariant systems (LTI) has been considered in [8], where an !,-model matching approach is taken to provide recursive solutions.…”

Section: Introductionmentioning

confidence: 99%

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Optimal l/sub ∞/ to l/sub ∞/ estimation for periodic systems

Voulgaris

1996

IEEE Trans. Automat. Contr.

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In this paper we consider the problem of finding a filter that minimizes the worst-case magnitude ( e, ) of the estimation error in the case of linear periodically time-varying systems subjected to unknown hut magnitude-bounded ( e, ) inputs. These inputs consist of process and observation noise, and the optimization problem is considered over an infinite-time horizon. Lifting techniques are utilized to transform the problem to a time invariant el -model matching problem subject to additional constraints. Taking advantage of the particular structure of the estimation problem, it is shown how standard methods of Ci optimization, in particular the delay augmentation technique, can be suitably modified to solve this nonstandard problem.

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Section: Author's Reply To "Comments On the Loop Transfer Recovery"mentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Optimal l/sub ∞/ to l/sub ∞/ estimation for periodic systems

Voulgaris

1996

IEEE Trans. Automat. Contr.

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“…Now, the multirate output sampled system would be expressible by Eqn. (12) with N = η. Due to value of η being derived from (16), we have the rows of HΦ τ being a linear combination of the rows of C 0 .…”

Section: Proposed Techniquementioning

confidence: 99%

Multirate output feedback sliding mode control design using reduced order functional observer

Janardhanan

Inamdar

2010

2010 11th International Workshop on Variable Structure Systems (VSS)

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This paper proposes a technique for computing discrete-time sliding mode control using the concept of functional observer and multirate sampling. The proposed technique has the flexibility of using a lesser order implicit observer than those employed by standard multirate-output feedback based sliding mode controllers. The paper also proves that the complete state observability of a system is not a necessary condition for the existence of a multirate-output feedback based sliding mode controller. The proposed technique has been validated using numerical examples.

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“…This means that if the OLS (1) satisfies the three conditions of UIO [51,52] , then rank(C) = n (or r = n − m) is guaranteed. It is also proven that separation property holds as long as (5) is satisfied [60] .…”

Section: All Drawbacks Are Overcome Under a New And Synthesized Desigmentioning

confidence: 99%

“…Large gain L will cause instability if OLS is non-minimum phase, so this LTR result is not general (see the previous paragraph). Even at a very large gain L, L(s) is still very different from LKx(s) at low frequency, and even for very simple and typical example of [22,60]. [61] .…”

Section: It Is Also Obvious That the Feedback Of U U U(t) Into The Obmentioning

confidence: 99%

Observer design — A survey

Tsui

2015

Int. J. Autom. Comput.

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This paper surveys the results of observer design for linear time-invariant (L-T-I) deterministic irreducible open-loop systems (OLS), the most basic type of OLS. An observer estimates Kx x x(t) signal where K is a constant and x x x(t) is the state vector of the OLS. Thus, an observer can be used as a feedback controller that implements state feedback control (SFC) or Kx x x(t)-control, and observer design is therefore utterly important in all feedback control designs of state space theory. In this survey, the observer design results are divided into three categories and for three respective main purposes. The first category of observers estimate signal Kx x x(t) only with a given K, and this survey has four conclusions: 1) Function observer that estimates Kx x x(t) directly is more general than state observer that estimates x x x(t), and may be designed with order lower than that of state observer, and the additional design objective is to minimize observer order; 2) The function observer design problem has already been simplified to the solving of a single set of linear equations only while seeking the lowest possible number of rows of the solution matrix, and an apparently most effective and general algorithm of solving such a problem can guarantee unified upper and lower bounds of the observer order; 3) Because such a single set of linear equations is the simplest possible theoretical formulation of the design problem and such theoretical observer order bounds are the lowest possible, and because the general, simple, and explicit theoretical formula for the function observer order itself do not exist, the theoretical part of this design problem is solved; 4) Because the function observer order is generically near its upper bound, further improvement on the computational design algorithm so that the corresponding observer order can be further reduced, is generically not worthwhile. The second category of observers further realize the loop transfer function and robustness properties of the direct SFC, and the conclusion of this survey is also fourfold: 1) To fully realize the loop transfer function of a practically designed Kx x x(t)-control, the observer must be an output feedback controller (OFC) which has zero gain to OLS input; 2) If parameter K is separately designed before the observer design, as in the separation principle which has been followed by almost all people for over half of a century, then OFC that estimates Kx x x(t) does not exist for almost all OLS s; 3) As a result, a synthesized design principle that designs an OFC first and is valid for almost all OLS s, is proposed and fully developed, the corresponding K will be designed afterwards and will be constrained by the OFC order as well as the OFC parameters; 4) Although the Kx x x(t)-control is constrained in this new design principle and is therefore called the "generalized SFC" (as compared to the existing SFC in which K is unconstrained), it is still strong enough for most OLS s and this new design principle overcomes many fund...

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On robust observer compensator design

Cited by 33 publications

References 12 publications

Optimal l/sub ∞/ to l/sub ∞/ estimation for periodic systems

Optimal l/sub ∞/ to l/sub ∞/ estimation for periodic systems

Multirate output feedback sliding mode control design using reduced order functional observer

Observer design — A survey

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