Robustness Analysis with Real Parametric Uncertainty

2010 ◽  
pp. 7-1-7-18 ◽  
Author(s):  
Roberto Tempo ◽  
Franco Blanchini
Keyword(s):  
Robustness Analysis ◽  
Parametric Uncertainty

scholarly journals Robustness Analysis of the Collective Dynamics of Nonlinear Periodic Structures Under Parametric Uncertainty

2016 ◽  
Author(s):  
Khaoula Chikhaoui ◽  
Diala Bitar ◽  
Najib Kacem ◽  
Noureddine Bouhaddi
Keyword(s):  
Multiple Scales ◽  
Periodic Structures ◽  
Uncertainty Propagation ◽  
Time Integration ◽  
Robustness Analysis ◽  
Parametric Uncertainty ◽  
Latin Hypercube Sampling ◽  
Algebraic Equations ◽  
Collective Dynamics ◽  
Model Combining

In order to ensure more realistic design of nonlinear periodic structures, the collective dynamics of a coupled pendulums system is investigated under parametric uncertainties. A generic discrete analytical model combining the multiple scales method, the perturbation theory and a standing-wave decomposition is proposed and adapted to the presence of uncertainties. These uncertainties are taken into account through a probabilistic modeling implying that the stochastic parameters vary according to random variables of chosen probability density functions. The proposed model leads to a set of coupled complex algebraic equations written according to the number and positions of the uncertainties in the structure and numerically solved using the time integration Runge-Kutta method. The uncertainty propagation through the established model is finally ensured using the Latin Hypercube Sampling method. The analysis of the dispersion, in term of variability of the frequency and amplitude intervals of the multistability domain shows the effects of uncertainties on the stability and nonlinearity of a three coupled pendulums structure. The nonlinear aspect is strengthened, the multistability domain is wider, more stable branches are obtained and thus the multimode solutions are enhanced.

A New Linear Fractional Transformation Based Approach to Power System Robustness Analysis

2007 ◽  
Vol 8 (5) ◽  
Author(s):  
Rafael Castellanos Bustamante ◽  
Arturo Roman Messina ◽  
Carlos Juarez
Keyword(s):  
Power Systems ◽  
Robustness Analysis ◽  
Parametric Uncertainty ◽  
Analytical Framework ◽  
Test System ◽  
Value Theory ◽  
Operating Conditions ◽  
Linear Fractional Transformation ◽  
Large Power ◽  
Robust Stability Analysis

Large power systems are highly complex systems that defy predictions with any degree of certainty. In this paper, an analytical framework for the assessment of small signal stability under operating uncertainty is presented.A rigorous analysis framework for the description of uncertainty in operating conditions is suggested. Using structured singular value theory and optimization tools, techniques for robust stability analysis of complex power systems are then derived and a method to quantify the effect of parametric uncertainties on the stability of critical inter-area modes is presented. A computationally-efficient method for modeling parametric uncertainty based on linear fractional transformation (LFT) theory is investigated and tested. With this approach, it becomes possible to estimate the effects of variations in the parameters of major transmission resources on the nominal stability of critical inter-area modes.The use of the analysis methods is demonstrated on two systems: i) a two-machine test system, and ii) a two-area, 11-bus, 4-machine test system.

scholarly journals Robustness Analysis for Multi-Agent Consensus Systems with Application to DC Motor Synchronization

2020 ◽  
Vol 10 (18) ◽  
pp. 6521
Author(s):  
Daniel Olivares ◽  
Gerardo Romero ◽  
Jose A. Guerrero ◽  
Rogelio Lozano
Keyword(s):  
Robustness Analysis ◽  
Parametric Uncertainty ◽  
Experimental Tests ◽  
Dc Motor ◽  
Motor Speed ◽  
Dc Motors ◽  
Satisfactory Performance ◽  
Control Scheme ◽  
Multi Agent ◽  
Robotic Applications

DC motor speed synchronization is a critical problem in industrial and robotic applications. To tackle this problem, we propose to use a multi-agent consensus-based control scheme that guarantees the convergence of the DC motor speeds to either fixed or time-varying reference. A detailed robustness analysis considering parametric uncertainty and time delay in the multi-agent system is performed to guarantee the consensus on the speed of DC motors in actual practice. The results obtained concerning the robustness analysis allowed us to implement experimental tests on a three-motor system using a wireless communication system to achieve satisfactory performance.

scholarly journals Robust Control and Stability Analysis of Computerized Numeric Controlled Machine Tool under Parametric Uncertainty

2020 ◽  
Vol 53 (5) ◽  
pp. 661-670
Author(s):  
Anil Kumar Yadav ◽  
Pawan Kumar Pathak ◽  
Prerna Gaur
Keyword(s):  
Machine Tool ◽  
Position Control ◽  
Robustness Analysis ◽  
Stability Margin ◽  
Parametric Uncertainty ◽  
Internal Model Control ◽  
Servo Motor ◽  
Control Techniques ◽  
Model Control ◽  
The Stability

The objective of this paper is to design three different robust controllers such as proportional-integral (PI), internal model control (IMC), and H∞ control techniques for position control of the computerized numeric controlled machine tool (CNCMT) system. The proposed controllers aim to control the servo motor that regulates the position of the machine table and also enhances the robustness of the CNCMT system under the influence of parametric uncertainties. The stability of the uncertain CNCMT system with all designed controllers is investigated using Kharitonov’s theorem. The stability margin (SM) criterion is utilized for robustness analysis.

Design and Robustness Analysis of Global Chassis Controller with Respect to Parametric Uncertainty

2013 ◽  
Vol 46 (21) ◽  
pp. 530-535
Author(s):  
Pratiksh Bolia ◽  
Thomas Weiskircher ◽  
Steffen Müller
Keyword(s):  
Robustness Analysis ◽  
Parametric Uncertainty
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