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We investigate stability analysis and controller design of unknown continuous-time systems under state-feedback with aperiodic sampling, using only noisy data but no model knowledge. We first derive a novel data-dependent parametrization of…

Optimization and Control · Mathematics 2022-08-26 Julian Berberich , Stefan Wildhagen , Michael Hertneck , Frank Allgöwer

This paper presents an LMI-based design framework for multirate steady-state Kalman filters in systems with sensors operating at different sampling rates. The multirate system is formulated as a periodic time-varying system, where the…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Hiroshi Okajima

This paper investigates a sample-based solution to the hybrid mode control problem across non-differentiable and algorithmic hybrid modes. Our approach reasons about a set of hybrid control modes as an integer-based optimization problem…

Robotics · Computer Science 2026-03-09 Yilang Liu , Haoxiang You , Ian Abraham

The paper studies digital redesign of linear time-invariant analog controllers under intermittent sampling. The sampling pattern is only assumed to be uniformly bounded, but otherwise irregular and unknown a priori. The contribution of the…

Optimization and Control · Mathematics 2016-03-10 Leonid Mirkin

This article proposes a data-driven $H_{\infty}$ control scheme for time-domain constrained systems based on model predictive control formulation. The scheme combines $H_{\infty}$ control and minimax model predictive control, enabling more…

Optimization and Control · Mathematics 2025-03-18 Wenhuang Wu , Lulu Guo , Nan Li , Hong Chen

We study a sampled-data implementation of linear controllers that depend on the output and its derivatives. First, we consider an LTI system of relative degree $r\ge 2$ that can be stabilized using $r-1$ output derivatives. Then, we…

Optimization and Control · Mathematics 2019-07-03 Anton Selivanov , Emilia Fridman

In this paper, we give a causal solution to the problem of spline interpolation using H-infinity optimal approximation. Generally speaking, spline interpolation requires filtering the whole sampled data, the past and the future, to…

Information Theory · Computer Science 2013-08-14 Masaaki Nagahara , Yutaka Yamamoto

This work introduces a novel paradigm for solving optimal control problems for hybrid dynamical systems under uncertainties. Robotic systems having contact with the environment can be modeled as hybrid systems. Controller design for hybrid…

Robotics · Computer Science 2024-11-04 Hongzhe Yu , Diana Frias Franco , Aaron M. Johnson , Yongxin Chen

For the accurate representation and reconstruction of band-limited signals on the sphere, an optimal-dimensionality sampling scheme has been recently proposed which requires the optimal number of samples equal to the number of degrees of…

Information Theory · Computer Science 2017-09-11 Wajeeha Nafees , Zubair Khalid , Rodney A. Kennedy , Jason D. McEwen

This paper investigates the H2 and H-infinity suboptimal distributed filtering problems for continuous time linear systems. Consider a linear system monitored by a number of filters, where each of the filters receives only part of the…

Optimization and Control · Mathematics 2020-02-10 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

This paper designs H2 and H-infinity distributed controllers with local communication and local disturbance rejection. We propose a two-step procedure: first, select closed-loop poles; then, optimize over parameterized controllers. We build…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Yaozhi Du , Jing Shuang Li

This paper presents versions of integral input-to-state stability and integral input-to-integral-state stability for nonlinear sampled-data systems, under the low measurement rate constraint. In particular, we compensate the lack of…

Dynamical Systems · Mathematics 2018-04-24 Navid Noroozi , Seyed Hossein Mousavi , Horacio J. Marquez

Wideband analog signals push contemporary analog-to-digital conversion systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small…

Information Theory · Computer Science 2016-11-15 Joel A. Tropp , Jason N. Laska , Marco F. Duarte , Justin K. Romberg , Richard G. Baraniuk

In this work we study the topic of high-resolution adaptive sampling of a given deterministic signal and establish a connection with classic approaches to high-rate quantization. Specifically, we formulate solutions for the task of optimal…

Information Theory · Computer Science 2018-04-20 Yehuda Dar , Alfred M. Bruckstein

In this paper, we propose a novel data-driven predictive control approach for systems subject to time-domain constraints. The approach combines the strengths of H-infinity control for rejecting disturbances and MPC for handling constraints.…

Optimization and Control · Mathematics 2024-03-25 Nan Li , Ilya Kolmanovsky , Hong Chen

We consider minimal-rate sampling schemes for infinite streams of delayed and weighted versions of a known pulse shape. The minimal sampling rate for these parametric signals is referred to as the rate of innovation and is equal to the…

Information Theory · Computer Science 2015-05-18 Kfir Gedalyahu , Ronen Tur , Yonina C. Eldar

This paper proposes a min-max design of noise-shaping delta-sigma modulators. We first characterize the all stabilizing loop-filters for a linearized modulator model. By this characterization, we formulate the design problem of lowpass,…

Information Theory · Computer Science 2013-08-06 Masaaki Nagahara , Yutaka Yamamoto

The problem of designing a stabilizing feedback controller in the presence of saturating actuators and multi-rate (asynchronous) aperiodic state measurements is studied. Specifically, we consider a scenario in which measurements of the…

Systems and Control · Electrical Eng. & Systems 2022-10-21 Francesco Ferrante , Ricardo G. Sanfelice , Sophie Tarbouriech

This article is concerned with data-driven analysis of discrete-time systems under aperiodic sampling, and in particular with a data-driven estimation of the maximum sampling interval (MSI). The MSI is relevant for analysis of and…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Stefan Wildhagen , Julian Berberich , Michael Hertneck , Frank Allgöwer

In integrated sensing and communication (ISAC) systems, random signaling is used to convey useful information as well as sense the environment. Such randomness poses challenges in various components in sensing signal processing. In this…

Information Theory · Computer Science 2024-03-19 Hang Ruan , Fan Liu