Search results for "Stability conditions"

showing 10 items of 15 documents

Novel Stability Criteria for T--S Fuzzy Systems

2014

In this paper, novel stability conditions for Takagi-Sugeno (T-S) fuzzy systems are presented. The so-called nonquadratic membership-dependent Lyapunov function is first proposed, which is formulated in a higher order form of both the system states and the normalized membership functions than existing techniques in the literature. Then, new membership-dependent stability conditions are developed by the new Lyapunov function approach. It is shown that the conservativeness of the obtained criteria can be further reduced as the degree of the Lyapunov function increases. Two numerical examples are given to demonstrate the effectiveness and less conservativeness of the obtained theoretical resul…

Lyapunov functionpolynomialsFuzzy setStability (learning theory)Lyapunov function; membership-dependent; stability; Takagi-Sugeno (T-S) fuzzy system; Control and Systems Engineering; Computational Theory and Mathematics; Artificial Intelligence; Applied Mathematicssymbols.namesakevectorsTakagi-Sugeno (T-S) fuzzy systemComputer Science::Systems and ControlArtificial IntelligenceControl theoryLyapunov equationLyapunov redesignLyapunov methodsMathematicsLyapunov functionDegree (graph theory)membership-dependentstability criteriaApplied Mathematicseducational institutionsFuzzy control systemstabilityStability conditionsComputational Theory and MathematicsControl and Systems Engineeringfuzzy systemssymbolsIEEE Transactions on Fuzzy Systems
researchProduct

Stability analysis of logistics networks with time-delays

2012

Logistics network represents a complex system where different elements that are logistic locations interact with each other. This interaction contains delays caused by time needed for delivery of the material. In this paper, we study local input-to-state stability of such logistics networks. Their behaviour is described by a functional differential equation with a constant time-delay. An appropriate Lyapunov–Razumikhin function and the small gain condition are utilized to establish some conditions for stability analysis of the network under consideration. Our stability conditions for the logistics network are based on the information about the interconnection properties between logistic loc…

Time delaysInterconnectionEngineeringbusiness.industryStrategy and ManagementComplex systemStability (learning theory)Function (mathematics)Management Science and Operations ResearchIndustrial and Manufacturing EngineeringComputer Science ApplicationsStability conditionsControl theoryProduction (economics)Constant (mathematics)businessProduction Planning & Control
researchProduct

Medium fidelity modelling of loads in wind farms under non-neutral ABL stability conditions – a full-scale validation study

2017

HistoryValidation studyEngineeringWind powerbusiness.industryBoundary layer turbulence020209 energymedia_common.quotation_subjectFull scaleFidelity02 engineering and technologyStructural engineering01 natural sciences010305 fluids & plasmasComputer Science ApplicationsEducationStability conditionsMechanical stability0103 physical sciences0202 electrical engineering electronic engineering information engineeringbusinessmedia_commonMarine engineeringJournal of Physics: Conference Series
researchProduct

Improved modelling of fatigue loads in wind farms under non-neutral ABL stability conditions

2018

HistoryABL010504 meteorology & atmospheric sciencesbusiness.industry020209 energy02 engineering and technologyStructural engineering01 natural sciencesComputer Science ApplicationsEducationStability conditions0202 electrical engineering electronic engineering information engineeringEnvironmental sciencebusiness0105 earth and related environmental sciencesJournal of Physics: Conference Series
researchProduct

Novel concept for stabilising a hydraulic circuit containing counterbalance valve and pressure compensated flow supply

2016

In this paper, a novel concept for stabilising a hydraulic system containing a counterbalance valve and a pressure compensated flow supply is presented. The concept utilizes a secondary circuit where a low-pass filtered value of the load pressure is generated and fed back to the compensator of the flow supply valve. The novel concept has been investigated theoretically and experimentally. A linear model has been developed to verify the improved stability conditions. The novel concept has been implemented on a single boom actuated by a cylinder. The results show that the pressure oscillations in an otherwise unstable system can be suppressed with the novel concept. This happens without any c…

0209 industrial biotechnologyEngineeringbusiness.industryMechanical EngineeringHydraulic circuitFlow (psychology)General Physics and AstronomyResponse time02 engineering and technologySecondary circuitBoomStability conditions020303 mechanical engineering & transports020901 industrial engineering & automation0203 mechanical engineeringControl theoryCylinderHydraulic machinerybusinessInternational Journal of Fluid Power
researchProduct

Robust control of continuous-time systems with state-dependent uncertainties and its application to electronic circuits

2014

In this paper, the problems of robust stability and stabilization are investigated for a class of continuous-time uncertain systems. The uncertainties in the model are state-dependent and belong to a polytopic convex set, as can be found in many electronic circuits and some other applications. The global asymptotic stability conditions for such systems are first established by the classic common quadratic Lyapunov function approach. To reduce conservativeness, a particular class of nonquadratic parameter-dependent Lyapunov functions is introduced, by which improved robust stability conditions for the underlying systems are also derived. Based on the stability criteria, a static output feedb…

Lyapunov functionMathematical optimizationConvex setStability (learning theory)robust stabilitysymbols.namesakevectorsExponential stabilityControl theoryElectronic circuitsElectrical and Electronic EngineeringuncertaintyLyapunov methodsMathematicsLyapunov functionsComputer Science Applications1707 Computer Vision and Pattern RecognitionStability conditionsuncertain systemsControl and Systems Engineeringsymbolselectronic circuitsElectronic circuits; Lyapunov functions; polytopic uncertainties; robust stability; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Electrical and Electronic EngineeringRobust controlrobust controlNetwork analysispolytopic uncertainties
researchProduct

Stability of genetic regulatory networks with time-varying delay: Delta operator method

2015

This paper investigates the stability problem for a class of uncertain genetic regulatory networks (GRNs) with time-varying delay via delta operator approach. Both the parameter uncertainty and the generalized activations are considered in the model under study. By constructing an appropriate Lyapunov-Krasovskii functional, the stability and robust stability conditions of GRNs are presented under the delta operator frame. These conditions can be expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is employed to illustrate the effectiveness of the proposed results.

Class (set theory)Stability conditionsComputer Science::Systems and ControlArtificial IntelligenceControl theoryCognitive NeuroscienceFrame (networking)Stability (learning theory)Delta operatorLinear matrixComputer Science ApplicationsMathematicsNeurocomputing
researchProduct

Numerical study of the components positioning influence on the stability of a reverse shoulder prosthesis

2014

Aim of this paper is to setup a novel procedure able to analyze performances of a reverse shoulder prosthesis when different geometrical configurations are assumed. Nowadays, such a prosthesis is widely used but, because of its novelty, data in literature give poor information about performances and limits to its applicability. The activity has been divided into the following steps. At the beginning the shape of the prosthesis has been digitally acquired via a 3D scanner. Then, CAD models of all prosthetic components have been geometrically optimized in a way to obtain final entities suitable for numerical simulations. After that, CAD assemblies have been created between prosthetic componen…

ScannerEngineeringEngineering drawingbusiness.industryCADStructural engineeringStability (probability)Industrial and Manufacturing EngineeringFinite element methodStability conditionsmedicine.anatomical_structureScapulaModeling and SimulationmedicineNon linear FEM analyses · 3D scanner acquisition · Reversed shoulder prosthesis · Shoulder stability ratioHumerusShoulder jointNon linear FEM analyses 3D scanner acquisition Reversed shoulder prosthesis Shoulder stability ratiobusinessSettore ING-IND/15 - Disegno E Metodi Dell'Ingegneria Industriale
researchProduct

Stability Analysis of Large Scale Networks of Autonomous Work Systems with Delays

2011

This paper considers the problem of stability analysis for a class of production networks of autonomous work systems with delays in the capacity changes. The system under consideration does not share information between work systems and the work systems adjust capacity with the objective of maintaining a desired amount of local work in progress (WIP). Attention is focused to derive explicit sufficient delay-dependent stability conditions for the network using properties of matrix norm. Finally, numerical results are provided to demonstrate the proposed approach.

Mathematical optimizationStability conditionsClass (computer programming)Computer scienceScale (chemistry)Matrix normStability (learning theory)Production (economics)Work in processWork systems
researchProduct

Polynomial Fuzzy Models for Nonlinear Control: A Taylor Series Approach

2009

Classical Takagi-Sugeno (T-S) fuzzy models are formed by convex combinations of linear consequent local models. Such fuzzy models can be obtained from nonlinear first-principle equations by the well-known sector-nonlinearity modeling technique. This paper extends the sector-nonlinearity approach to the polynomial case. This way, generalized polynomial fuzzy models are obtained. The new class of models is polynomial, both in the membership functions and in the consequent models. Importantly, T-S models become a particular case of the proposed technique. Recent possibilities for stability analysis and controller synthesis are also discussed. A set of examples shows that polynomial modeling is…

Polynomial regressionMathematical optimizationPolynomialApplied Mathematicsfuzzy controlpolynomial fuzzy systemsFuzzy logicfuzzy modelingrelaxed stability conditionsMatrix polynomialSquare-free polynomialComputational Theory and MathematicsArtificial IntelligenceControl and Systems EngineeringHomogeneous polynomialsum of squares (SOS)Applied mathematicsFuzzy numberMathematicsWilkinson's polynomialIEEE Transactions on Fuzzy Systems
researchProduct