Control System Synthesis: A Factorization Approach, Part II

Vidyasagar, M.

doi:10.2200/s00358ed1v01y201105crm003

Cited by 64 publications

(104 citation statements)

References 83 publications

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“…Here we compare the proposed method with the robust stabilization method in [8] and [32,Chap. 7] based on the following fact: Consider a family of plants P ∆ ∈ M(RF ∞ ) with ∆ ∈ [∆, ∆].…”

Section: Remark 47mentioning

confidence: 99%

“…If we change the offset variable from θ = e −a∆ −1 to ∆, then (32) and (35) give the maximum length of the offset interval [∆, ∆] allowed by an LTI controller. …”

Section: Remark 53mentioning

confidence: 99%

“…We formulate the stabilization of systems with clock offsets as the problem of stabilizing systems with parametric uncertainty, which can be regarded as the simultaneous stabilization of a family of plants, as studied in [32,Sec. 5.4] and [33].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stabilization of systems with asynchronous sensors and controllers

2017

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We study the stabilization of networked control systems with asynchronous sensors and controllers.Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty.First we consider multi-input linear systems and provide a sufficient condition for the existence of linear time-invariant controllers that are capable of stabilizing the closed-loop system for every clock offset in a given range of admissible values. For first-order systems, we next obtain the maximum length of the offset range for which the system can be stabilized by a single controller. Finally, this bound is compared with the offset bounds that would be allowed if we restricted our attention to static output feedback controllers.

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Section: Remark 47mentioning

confidence: 99%

“…If we change the offset variable from θ = e −a∆ −1 to ∆, then (32) and (35) give the maximum length of the offset interval [∆, ∆] allowed by an LTI controller. …”

Section: Remark 53mentioning

confidence: 99%

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Stabilization of systems with asynchronous sensors and controllers

2017

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“…The problem of finding a stable stabilizing controllers has been studied since 1970s, see [4,8,12,18,19] for finite dimensional systems and [1,5,6,10,16] for systems. This list is by no means complete; the reader can find various approaches and results from the references of the papers listed here.…”

Section: Introductionmentioning

confidence: 99%

Stable ${{\mathcal H}^\infty}$ Controller Design for Systems with Time Delays

Özbay

2010

Lecture Notes in Control and Information Sciences

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Abstract.One of the difficult problems of robust control theory is to find strongly stabilizing controllers (i.e. stable controllers leading to stable feedback system) which satisfy a certain H ∞ performance objective. In this work we discuss stable H ∞ controller design methods for various classes of systems with time delays. We consider sensitivity minimization problem in this setting for SISO plants. We also discuss a suboptimal design method for stable H ∞ controllers for MIMO plants. This paper is dedicated to Yutaka Yamamoto on the occasion of his 60th birthday.

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“…These are among the operations that are used, for instance in [2,6,8,17], to solve a variety of modeling and control problems. The cited references also contain algorithms to perform these operations; however, all algorithms are restricted to the case of rational matrices and the extension to the case of meromorphic matrices will, in general, be nontrivial.…”

mentioning

confidence: 99%

Analytic methods for the modeling of flexible structures

Schumacher¹

Analysis and Optimization of Systems

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Standard approaches to the modeling of large flexible structures, such as the Finite Element Method, are essentially based on small-scale approximation: the structure is thought ot as consisting of many pieces that are small enough to have their dynamics approximated by a low-order model. This modeling philosophy is suitable for complicated and inhomogeneous structures, but becomes awkward when one has to do with structures that are built up from highly flexible but homogeneous parts. In the latter case, it would be much more natural to use partial differential equations. In this paper, we discuss some possible analytic approaches to the modeling of flexible structures, with an emphasis on the computation of the natural frequencies.

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Control System Synthesis: A Factorization Approach, Part II

Cited by 64 publications

References 83 publications

Stabilization of systems with asynchronous sensors and controllers

Stabilization of systems with asynchronous sensors and controllers

Stable ${{\mathcal H}^\infty}$ Controller Design for Systems with Time Delays

Analytic methods for the modeling of flexible structures

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