A Discrete-Time Approach to Stability Analysis of Systems With Aperiodic Sample-and-Hold Devices

By Hisaya Fujioka. IEEE Transactions on Automatic Control, 2009

420 citations recorded by the source corpus.

Motivated by the widespread use of networked and embedded control systems, an algorithm for stability analysis is proposed for sampled-data feedback control systems with uncertainly time-varying sampling intervals. The algorithm is based on the robustness of related discrete-time systems against perturbation caused by the variation of sampling intervals. The validity of the algorithm is demonstrated by numerical examples.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/315510bed36524e9c4de14d406974e38df8273a3

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In Control and Systems Engineering

Citations in the corpus

Wirtinger-based integral inequality: Application to time-delay systems (2013, methodology): “The perturbation element is then embedded into some normboundeduncertainties and the use of the scaled small gain theorem (Fujioka, 2009; Mirkin, 2007), Integral Quadratic Constraints (IQC) (Kao & Rantzer, 2007), or the quadratic separation approach”
Wirtinger's inequality and Lyapunov-based sampled-data stabilization (2012, result): “Sampled-data systems have been studied extensively over the past decades (see e.g. Chen & Francis, 1995, Fridman, 2010, Fujioka, 2009, Mirkin, 2007 and Naghshtabrizi, Hespanha, & Teel, 2008 and the references therein).”
Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach (2009, methodology): “However, contrary to [14], [15], we choose to allow for convex combinations of the vertices, whereas in [14], [15] the system switches between the vertices only.”
A novel stability analysis of linear systems under asynchronous samplings (2012, methodology): “Improvements are provided in [4, 12], using the small gain theorem and in [13] based on the analysis of impulsive systems.”
A new looped-functional for stability analysis of sampled-data systems (2017, methodology): “Examples include discretetime approach (Fujioka, 2009; Suh, 2008), input-delay approach (Fridman, 2010; Liu & Fridman, 2012), robust analysis technique (Kao, 2015; Kao & Fujioka, 2013), impulsive systems formulation (Briat & Seuret, 2015; Naghshtabrizi, Hespanha & Teel 2008; and the reference…”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, positive): “The properties of ∆sh in Lemma25 and Lemma28 can be generalized (Fujioka, 2009c) using scaling matrices 0 ≼ Y ∈ Rn×n, 0 ≺ X ∈ Rn×n and grouped into the following IQC:  ∞”
A refined input delay approach to sampled-data control (2010, methodology): “We note that in all numerical examples of the present paper LMIs of Fujioka (2009) lead to the same results as conditions of Mirkin (2007).”
Robust sampled-data control of a class of semilinear parabolic systems (2012, background): “Sampled-data control of finite-dimensional systems have been studied extensively over the past decades (see e.g. Chen and Francis (1995), Naghshtabrizi, Hespanha, and Teel (2008), Fujioka (2009), Fridman (2010) and the references therein).”