Articles with "polynomial systems" as a keyword



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Invariant set analysis for SISO discrete-time polynomial systems with dynamic quantizers: Invariant set analysis for SISO discrete-time polynomial systems with dynamic quantizers

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Published in 2018 at "International Journal of Robust and Nonlinear Control"

DOI: 10.1002/rnc.4326

Abstract: This paper deals with the stability analysis problem of discrete‐time polynomial systems subject to input quantization. The quantizer under consideration is supposed to be dynamic. Indeed, considering the quantization error as bounded disturbances, the regional… read more here.

Keywords: discrete time; analysis; time polynomial; invariant set ... See more keywords
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Solving geoinformatics parametric polynomial systems using the improved Dixon resultant

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Published in 2018 at "Earth Science Informatics"

DOI: 10.1007/s12145-018-0366-2

Abstract: Improvements in computational and observational technologies in geoinformatics, e.g., the use of laser scanners that produce huge point cloud data sets, or the proliferation of global navigation satellite systems (GNSS) and unmanned aircraft vehicles (UAVs),… read more here.

Keywords: dixon resultant; dixon; dixon edf; parametric polynomial ... See more keywords
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Iterative LMI Approach to Robust State-feedback Control of Polynomial Systems with Bounded Actuators

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Published in 2019 at "International Journal of Control, Automation and Systems"

DOI: 10.1007/s12555-018-0292-6

Abstract: This paper presents a novel approach to state-feedback stabilization of polynomial systems with bounded actuators. To overcome limitation of the existing approaches, we introduce additional variables that separate the system matrices and the Lyapunov matrices.… read more here.

Keywords: polynomial systems; approach; state; state feedback ... See more keywords
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Discrete-time controller for stochastic nonlinear polynomial systems with Poisson noises

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Published in 2017 at "International Journal of Systems Science"

DOI: 10.1080/00207721.2017.1322156

Abstract: ABSTRACT This paper presents a solution to the optimal control problem for discrete-time stochastic nonlinear polynomial systems confused with white Poisson noises subject to a quadratic criterion. The solution is obtained in the following way:… read more here.

Keywords: stochastic nonlinear; discrete time; poisson noises; controller ... See more keywords
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Dissipativity Verification With Guarantees for Polynomial Systems From Noisy Input-State Data

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Published in 2021 at "IEEE Control Systems Letters"

DOI: 10.1109/lcsys.2020.3037842

Abstract: In this letter, we investigate the verification of dissipativity properties for polynomial systems without an explicitly identified model but directly from noise-corrupted measurements. Contrary to most data-driven approaches for nonlinear systems, we determine dissipativity properties… read more here.

Keywords: polynomial systems; verification; noisy input; input state ... See more keywords
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Fast Computation of Tight Funnels for Piecewise Polynomial Systems

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Published in 2022 at "IEEE Control Systems Letters"

DOI: 10.1109/lcsys.2021.3134101

Abstract: Funnels are widely used in safety-critical applications such as robust motion planning as conservative bounds for possible state deviations due to disturbances. However, the problem of finding a tight funnel has been a challenging topic… read more here.

Keywords: problem; polynomial systems; fast computation; piecewise polynomial ... See more keywords
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Inner-Approximating Reachable Sets for Polynomial Systems With Time-Varying Uncertainties

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Published in 2020 at "IEEE Transactions on Automatic Control"

DOI: 10.1109/tac.2019.2923049

Abstract: In this paper, we propose a convex programming based method to address a long-standing problem of inner-approximating backward reachable sets of state-constrained polynomial systems subject to time-varying uncertainties. The backward reachable set is a set… read more here.

Keywords: time; backward reachable; inner approximating; polynomial systems ... See more keywords
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Adaptive Fault Estimation and Fault Tolerant Control for Polynomial Systems: Application to Electronic and Mechanical Systems

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Published in 2021 at "Mathematical Problems in Engineering"

DOI: 10.1155/2021/6342604

Abstract: This paper presents a sum of squares (SOS) approach for active fault tolerant control (AFTC) of nonlinear polynomial systems. A polynomial adaptive fault estimation algorithm for polynomial systems is firstly proposed. Then, sufficient conditions for… read more here.

Keywords: fault; fault estimation; fault tolerant; tolerant control ... See more keywords
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Robust fault estimation for polynomial systems with time delay via a polynomial adaptive observer

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Published in 2022 at "Transactions of the Institute of Measurement and Control"

DOI: 10.1177/01423312221124977

Abstract: In this paper, a robust fault estimation for polynomial systems with time delay via a polynomial adaptive observer is presented and described. In fact, in contrast to previous research works on actuator faults, the learning… read more here.

Keywords: polynomial systems; estimation polynomial; fault estimation; robust fault ... See more keywords