Artem Kremlev’s research while affiliated with ITMO University and other places

... From this geometric perspective we recover the well-known notion of homogeneity of vector field and maps (see also [20]). Consider the system map Σ associated to the pair pF pt, x, dq, Hpt, x, dqq " ∆ pApxq, Cpxqq, and a GGT of the form Ψ p pt, zq " ∆ pe pa t t, diag i te ppa x i´a t q ux, d, diag i te pa y i uyq, where a xi ă 0 and a yj , a t P R. The map Φ p pxq " ∆ diag i te´p a x i ux is known as one-parameter group of standard (linear) dilations on R n ( [27]). On account of the geometric interpretation given above Ψ p is a GS of Σptq " 0 if (and only if) the vector field A, resp. the mapping C, is homogeneous with weights p´a x1 ,¨¨¨,´a xn q and degree g t , resp. ...

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Symmetry-based observers for ODE systems

... The present paper addresses the problem of homogeneity based finite-time observer design for linear descriptor systems. The finite-time stability analysis is based on the Implicit Lyapunov Function (ILF) method (for example, [16]). One of the advantages of the proposed observer is parameters tuning based on Linear Matrix Equations and Inequalities (LMEIs). ...

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Finite-time observer design for linear descriptor systems

... Homogeneity is a kind of symmetry property, which is widely used for stability and robustness analysis, nonasymptotic control and observer design, etc (see, e.g., [20]). In [21] the homogeneity property is extended for the class of descriptor systems. ...

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Finite-time observer design for linear descriptor systems

... In particular, sliding mode control-based observers have been widely used to stabilize the system to estimate states. Some of the most crucial properties include insensitivity to matched perturbations [22], achieving finite-time convergence [23] in the presence of unknown external disturbances [24], and robustness against certain classes of unmatched uncertainties [25]. However, its main disadvantage is the chattering [12], and it usually uses the form of a Luenberger observer. ...

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Displacement and Velocity Estimation in Building Structures Using an Algebraic Observer

... Let us give stability definitions for the system (1). Definition 1 [17], [18] The system (1) is said to be • globally Lyapunov stable if for any ε > 0 there exists δ (ε) > 0 such that ∥x 0 ∥ < δ , then ∥Φ x 0 (t)∥ < ε for all t ≥ 0; • globally asymptotically stable if it is Lyapunov stable and lim t→+∞ Φ x 0 (t) = 0; • globally finite-time stable if it is globally asymptotically stable and any solution Φ x 0 (t) reaches the equilibrium point at some finite time moment, i.e. ...

Reference:

Finite-time observer design for linear descriptor systems

... The noise ratio is improved: because the common mode feedback can stabilize the common mode voltage, reduce the degree of noise and the mixing of the useful signal, and make the system signalnoise ratio significantly improved [10]. Higher signal-to-noise ratio means clearer, accurate data transmission or signal detection capabilities. ...

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Simulation Analysis of ECG Denoising Based on Common Mode Feedback Technology

... However, their approach leads to a specific selection of the observer's nonlinearities gains, and thus allowing for a small parameters range in the design procedure. The work 8 is also based on homogeneity theory to design a finite-time nonlinear observer for MIMO linear systems subject to perturbations and noise measurements. This observer is designed in the original plant's coordinates, avoiding the transformation of the plant to a canonical form. ...

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A quasicontinuous multivariable super‐twisting observer for 2n states systems with Lipschitz nonlinearities

... In the time domain, the transfer function in (13) can be written as (14). The accuracy and realism of the TRMS kinematic model may be impacted by a number of assumptions and simplifications that are made in this section. ...

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Fick’s Law Algorithm Based-Nonlinear Model Predictive Control of Twin Rotor MIMO System

... In this section, we provide conditions to guarantee output and state finite-time stability properties for system (4). In particular, we consider the next stability notions, see [27,35]. Definition 1 Consider system (4). ...

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Finite-time stability properties of Lur'e systems with piecewise continuous nonlinearities

... Since the human body can be regarded as a very valuable conductor, the exchange capacity of the heart can be quickly transferred to the surface of the human body. Therefore, by attaching electrodes to the surface of the body, the capacitance during the heartbeat can 5 Journal of Nanomaterials be separated, and the heartbeat can completely collect electrical signals to obtain the corresponding electrocardiogram [30]. ...

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A New Type of ECG Signal Acquisition and Storage Nonvolatile Chip Embedded in Mobile Devices for Sports Monitoring