Eigenstructure Assignment by Displacement–Acceleration Feedback for Second-Order Systems

2016 ◽  
Vol 138 (6) ◽  
Author(s):  
Taha H. S. Abdelaziz
Keyword(s):  
Dynamic Response ◽  
Necessary Conditions ◽  
Second Order ◽  
New Technique ◽  
Eigenstructure Assignment ◽  
Mass Matrices ◽  
Acceleration Feedback ◽  
Simulation Results ◽  
A New Technique ◽  
Second Order Systems

Abstract This paper presents a new technique for controlling the dynamic response of second-order systems by means of combined displacement and acceleration feedback. The necessary conditions that guarantee the solvability for the problem are formulated. Parametric expressions for the displacement–acceleration gains and the eigenvector matrix are derived. The solution can be applied for the systems with nonsingular or singular mass matrices. Based on the simulation results, we can conclude that the proposed technique is effective.

Parametric Approach for Eigenstructure Assignment in Descriptor Second-Order Systems via Velocity-Plus-Acceleration Feedback

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
Taha H. S. Abdelaziz
Keyword(s):  
Degrees Of Freedom ◽  
Sufficient Conditions ◽  
Second Order ◽  
Descriptor Systems ◽  
Practical Applications ◽  
Mass Matrices ◽  
Acceleration Feedback ◽  
Descriptor Matrix ◽  
Second Order Systems ◽  
Necessary And Sufficient

In this article, the problem of eigenstructure in descriptor matrix second-order linear systems using combined velocity and acceleration feedbacks is considered. This is promising for better applicability in many practical applications where the velocity and acceleration signals are easier to obtain than the proportional and velocity ones. First, the necessary and sufficient conditions which ensure solvability are derived. Then the parametric expressions of gain controller and eigenvector matrix are formulated. The proposed approach can offer all the degrees of freedom and has great potential in practical applications. The solution is general and can be applied when mass matrices that can be either singular or nonsingular. In this framework, infinite eigenvalues for descriptor systems are relocated by finite ones.

scholarly journals Analog Low-Voltage Current-Mode Implementation of Digital Logic Gates

2003 ◽  
Vol 26 (2) ◽  
pp. 111-114 ◽  
Author(s):  
Muhammad Taher Abuelma'atti
Keyword(s):  
Power Series ◽  
Low Voltage ◽  
Logic Gates ◽  
Current Mode ◽  
New Technique ◽  
Basic Logic ◽  
Spice Simulation ◽  
Simulation Results ◽  
A New Technique ◽  
Logic Functions

In this letter a new technique is introduced for implementing the basic logic functions using analog current-mode techniques. By expanding the logic functions in power series expressions, and using summers and multipliers, realization of the basic logic functions is simplified. Since no transistors are working in saturation, the problem of fan-out is alleviated. To illustrate the proposed technique, a circuit for simultaneous realization of the logic functions NOT, OR, NAND and XOR is considered. SPICE simulation results, obtained with 3 V supply, are included

Augmented Controllable Region of Unstable Second Order Systems With Impulsive Actions

2009 ◽  
Vol 131 (5) ◽  
Author(s):  
Wookjin Sung ◽  
Jiecai Luo ◽  
Kwanho You
Keyword(s):  
Optimal Control ◽  
Model Uncertainty ◽  
Second Order ◽  
Control Input ◽  
Impulsive Action ◽  
Mixed Control ◽  
Collaborative Control ◽  
Control Actions ◽  
Simulation Results ◽  
Second Order Systems

In this paper, we suggest how to enlarge the maximum controllable region for unstable linear systems with mixed control actions. Using the impulsive action as an alternating control input, it is shown how the collaborative control inputs (bang-bang and impulsive action) work to augment the controllable region of unstable second order systems. However, the weakness resides in the sensitivity to model uncertainty and the time-consuming work to construct the switch curves (bang-bang switch curve and impulse firing curve). We suggest an efficient way to approximate the switch curves. It overcomes the shortcomings from the use of original switch curves, which are constructed through time backward computation. Simulation results show how the approximate switch curves can be used to determine the optimal control values for an augmented maximum controllable region.

scholarly journals Finite-Time Trajectory Tracking of Second-Order Systems Using Acceleration Feedback Only

Automation ◽  
2021 ◽  
Vol 2 (4) ◽  
pp. 266-277
Author(s):  
Romain Delpoux ◽  
Thierry Floquet ◽  
Hebertt Sira-Ramírez
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Algebraic Approach ◽  
Second Order ◽  
Asymptotic State ◽  
Control Input ◽  
Positioning Systems ◽  
Acceleration Feedback ◽  
On Line ◽  
Second Order Systems

In this paper, an algebraic approach for the finite-time feedback control problem is provided for second-order systems where only the second-order derivative of the controlled variable is measured. In practice, it means that the acceleration is the only variable that can be used for feedback purposes. This problem appears in many mechanical systems such as positioning systems and force-position controllers in robotic systems and aerospace applications. Based on an algebraic approach, an on-line algebraic estimator is developed in order to estimate in finite time the unmeasured position and velocity variables. The obtained expressions depend solely on iterated integrals of the measured acceleration output and of the control input. The approach is shown to be robust to noisy measurements and it has the advantage to provide on-line finite-time (or non-asymptotic) state estimations. Based on these estimations, a quasi-homogeneous second-order sliding mode tracking control law including estimated position error integrals is designed illustrating the possibilities of finite-time acceleration feedback via algebraic state estimation.

Lissajous Curve of an Auxiliary Winding Voltage Park Components for Diagnosing Multiple Open Switches Faults in Three Phase Inverter

2014 ◽  
Vol 672-674 ◽  
pp. 1224-1233 ◽  
Author(s):  
Lamiaâ El Menzhi ◽  
Abdallah Saad
Keyword(s):  
Induction Motor ◽  
New Technique ◽  
Phase Voltage ◽  
Phase Inverter ◽  
Voltage Inverter ◽  
Three Phase ◽  
Open Switch ◽  
Simulation Results ◽  
A New Technique ◽  
Three Phase Inverter

In this paper, a new technique for diagnosing multiple open switch fault in three phase voltage inverter feeding induction motor is presented. It is based on the so-called the Lissajous curve of an auxiliary winding voltage Park components. For this purpose, expressions of the inserted winding voltage and its Park components are presented. Simulation results curried out for non defected and defected inverter show the effectiveness of the proposed method.

scholarly journals On the Broadening of Single-Layer Metasurface Bandwidth by Coupling Resonances

Materials ◽  
2020 ◽  
Vol 13 (9) ◽  
pp. 2063 ◽  
Author(s):  
Humberto Fernández Álvarez ◽  
María Elena de Cos Gómez ◽  
Fernando Las-Heras Andrés
Keyword(s):  
Equivalent Circuit ◽  
Equivalent Circuit Model ◽  
Single Layer ◽  
Circuit Model ◽  
New Technique ◽  
Unit Cells ◽  
Simulation Results ◽  
A New Technique ◽  
Bandwidth Broadening

In this contribution a new technique to increase the bandwidth of metasurfaces without increasing their profile is presented. This work takes advantage of the potential multiresonant behavior of a metamaterial whose unit cells comprise nested metallization geometries in the same layer. The novelty stems from the possibility of overlapping these resonances for increasing the bandwidth (instead of obtaining a multiresonant metasurface). Several guidelines to achieve the aforementioned bandwidth broadening, which are applicable to all metasurface designs, will be provided. An equivalent circuit model will be used to better explain the presented technique; then, it will be applied to several metasurface absorbers (MTAs), showing not only a bandwidth broadening but also an absorption reinforcement. Measurements will be also presented to corroborate the simulation results.

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