Dissipative stability analysis and control of two-dimensional Fornasini–Marchesini local state-space model

Wang, Lanning; Chen, Weimin; Li, Lizhen

doi:10.1080/00207721.2017.1282059

Cited by 11 publications

(6 citation statements)

References 38 publications

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“…In order to use the PDCSF (6), function f t,l (k − k m ), t ∈  , l ∈ , need to be established first. Wang 35 provides an efficient and simple construction approach.…”

Section: (Q S R)-𝜷-dissipativity Analysismentioning

confidence: 99%

“…Generally speaking, 2-D system modeling includes the Roesser model 3,4 and the Fornasini-Marchesini local state-space (FMLSS) model. 5,6 Some recent works [7][8][9] have been presented with respect to 2-D systems.…”

Section: Introductionmentioning

confidence: 99%

“…The problem of dissipative stability analysis and control of the 2-D FMLSS model under arbitrary switching is studied by the common Lyapunov function (CLF) approach. 6 However, it is very difficult to find a common storage function (Lyapunov function) for each subsystem, and even it may not exist. Therefore, a better method is to use multiple storage function (Lyapunov function) method combined with constrained switching strategy to analyze the behavior of 2-D switched systems.…”

Section: Introductionmentioning

confidence: 99%

“…Roesser 1 proposes the theory of 2‐D realization under the framework of state‐space and Hinamoto 2 studies the asymptotic stability of 2‐D system. Generally speaking, 2‐D system modeling includes the Roesser model 3,4 and the Fornasini–Marchesini local state‐space (FMLSS) model 5,6 . Some recent works 7‐9 have been presented with respect to 2‐D systems.…”

Section: Introductionmentioning

confidence: 99%

“…For a class of singular time‐delay systems with actuator saturation, state feedback and dissipative output feedback controllers are designed in the work of Fu et al 27 It is notable that these studies on dissipative control primarily center on 1‐D systems. Up to now, there have been limited findings on dissipativity analysis of 2‐D systems, respectively, in the FMLSS model 6,28 and the Roesser model, 29,30 which is one of the driving forces behind this article. The problem of dissipative stability analysis and control of the 2‐D FMLSS model under arbitrary switching is studied by the common Lyapunov function (CLF) approach 6 .…”

Section: Introductionmentioning

confidence: 99%

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Dissipative control of 2‐D discrete‐time switched systems via a point‐dependent convex storage function

Wang,

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Jiao

2023

Optim Control Appl Methods

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This article explores the dissipative control of two‐dimensional (2‐D) discrete‐time switched Fornasini–Marchesini local state‐space systems under dwell‐time switching. It introduces a new point‐dependent convex storage function to establish the criteria for the asymptotic stability and strict ‐‐dissipativity of the 2‐D switched Fornasini–Marchesini local state‐space model based on LMIs. From these established findings, special cases of dissipative control such as strict passivity and performance can be derived. The article also presents the design of a state feedback point‐dependent convex controller using the proposed storage function approach, along with a sufficient condition for the dissipativity of the closed‐loop system. Finally, several examples are presented to corroborate the effectiveness and superiority of the proposed method.

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“…In order to use the PDCSF (6), function f t,l (k − k m ), t ∈  , l ∈ , need to be established first. Wang 35 provides an efficient and simple construction approach.…”

Section: (Q S R)-𝜷-dissipativity Analysismentioning

confidence: 99%