Sampled-data emulation of dynamic output feedback controllers for nonlinear time-delay systems

Ferdinando, Mario Di; Pepe, Pierdomenico

doi:10.1016/j.automatica.2018.10.022

Cited by 64 publications

(20 citation statements)

References 36 publications

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“…An academic example is shown, which validates the theoretical results. Future investigations will concern the event-based control of retarded systems by means of sampled-data output measures, on the basis of results on sampleddata output-feedback control shown in [6]. Further investigations will concern the semiglobal (non-practical) asymptotic stabilization of retarded systems by eventbased sampled-data controllers.…”

Section: Discussionmentioning

confidence: 99%

On Lyapunov-Krasovskii Methods for Event-Based Control of Retarded Systems with Sampled-Data Measures, non-Smooth Feedback, and non-Uniform Sampling

Pepe¹,

Borri²,

Ferdinando³

2021

2021 Proceedings of the Conference on Control and Its Applications

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An event-based controller is here proposed for nonlinear retarded systems. Main novelty with respect to the literature is given by the following facts which here hold contemporarily: 1) control Lyapunov-Krasovskii functionals are used; 2) non-smooth feedbacks are allowed; 3) only sampled-data measures of variables in finite dimensional spaces are necessary; 4) non-uniform sampling is allowed. Practical semiglobal stability is proved, with arbitrarily small final target ball of the origin, under suitably high sampling frequency.

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Section: Discussionmentioning

confidence: 99%

On Lyapunov-Krasovskii Methods for Event-Based Control of Retarded Systems with Sampled-Data Measures, non-Smooth Feedback, and non-Uniform Sampling

Pepe¹,

Borri²,

Ferdinando³

2021

2021 Proceedings of the Conference on Control and Its Applications

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“…Existing results give conditions for the preservation of the stability -in a certain sense-of the CT closed-loop system when implemented in a sampled-data setting (Pepe and Fridman, 2017;Lin, 2020;Lin and Wei, 2018;Di Ferdinando and Pepe, 2019;Lin and Sun, 2021;Di Ferdinando et al, 2021a). In particular, sampled-data stabilization under nonuniform sampling has lately been an active research topic (Li and Zhao, 2018;Hetel et al, 2017;Omran et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Linking stability of nonlinear sampled-data systems and their continuous-time limits

Vallarella¹,

Haimovich²

2022

Preprint

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Discrete-time (DT) models of sampled-data systems can be regarded as predictions of the future state value given current values for the state, input and sampling period. A DT model is exact if its prediction coincides with the true value and is otherwise approximate. Conditions under which Semiglobal Exponential Stability under nonuniform sampling (SES-VSR) is preserved among different (exact or approximate) DT models when fed back with the same sampling-period dependent control law exist. The current paper proves that the exact DT model is SES-VSR if and only if its corresponding continuous-time (CT) limit (for infinitesimally small sampling period) is Globally Exponentially Stable (GES), which is restrictive. The contribution of this note consists in extending and relaxing the assumptions of previous results, as follows: (i) only mild conditions are given in order to link stability properties between DT models fed back with different control laws, and (ii) the DT model properties making the CT limit Globally Asymptotically and Locally Exponentially Stable (GALES), instead of GES, are provided.

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“…The case of discrete measurement delays, in conjunction with data sampling, has been investigated in [4,5,25,27,37]. Results on observer-based output feedback stabilization of delay systems with sampled measurements have been recently given in [16,36] (but see also the case of state feedback in [35]).…”

Section: Introductionmentioning

confidence: 99%

Sampled-data observers for delay systems and hyperbolic PDE–ODE loops

2021

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Sampled-data emulation of dynamic output feedback controllers for nonlinear time-delay systems

Cited by 64 publications

References 36 publications

On Lyapunov-Krasovskii Methods for Event-Based Control of Retarded Systems with Sampled-Data Measures, non-Smooth Feedback, and non-Uniform Sampling

On Lyapunov-Krasovskii Methods for Event-Based Control of Retarded Systems with Sampled-Data Measures, non-Smooth Feedback, and non-Uniform Sampling

Linking stability of nonlinear sampled-data systems and their continuous-time limits

Sampled-data observers for delay systems and hyperbolic PDE–ODE loops

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