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The optimal controller design framework for PID-based vibration active control systems via non-probabilistic time-dependent reliability measure
13 references·6 citing·45 second hop
The optimal controller design framework for PID-based vibration active control systems via non-probabilistic time-dependent reliability measure (2020)The optimal controller design framework f…Comparison of the reliability-based and safety factor methods for structural design (2019)Comparison of the reliability…A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method (2019)A dynamic evolution scheme fo…Hybrid time-variant reliability estimation for active control structures under aleatory and epistemic uncertainties (2018)Hybrid time-variant reliabili…A non-probabilistic time-variant reliable control method for structural vibration suppression problems with interval uncertainties (2018)A non-probabilistic time-vari…Structural reliability analysis using non-probabilistic convex model (2012)Structural reliability analys…A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)A Chebyshev interval method f…Reliability-Based Performance Objectives and Probabilistic Robustness in Structural Control Applications (2008)Reliability-Based Performance…Time-dependent reliability of textile-strengthened RC structures under consideration of fuzzy randomness (2006)Time-dependent reliability of…Reliability-Based Control Design for Uncertain Systems (2005)Reliability-Based Control Des…Whys and Hows in Uncertainty Modelling (1999)Whys and Hows in Uncertainty …Adaptive Monte Carlo Simulation for Time-Variant Reliability Analysis of Brittle Structures (1997)Adaptive Monte Carlo Simulati…Discussion on: A non-probabilistic concept of reliability (1995)Discussion on: A non-probabil…A non-probabilistic concept of reliability (1994)A non-probabilistic concept o…Uncertain constitutive model for metals in the presence of inherent defects (2025)Uncertain constitutive model …Structural reliability-based design optimization with non-probabilistic credibility level (2023)Structural reliability-based …Double-time-scale non-probabilistic reliability-based controller optimization for manipulator considering motion error and wear growth (2023)Double-time-scale non-probabi…Dynamic reliability analysis of gear transmission system based on sparse grid numerical integration and saddle‐point approximation method (2022)Dynamic reliability analysis …An efficient wave based method for the mid-frequency transverse vibration analysis of a thermal beam with interval uncertainties (2021)An efficient wave based metho…Advanced surrogate-based time-dependent reliability analysis method by an effective strategy of reducing the candidate sample pool (2021)Advanced surrogate-based time…Simulation and the Monte Carlo Method (1981)Safety assessment of structures in view of fuzzy randomness (2003)A new possibilistic reliability index definition (2009)Hierarchical propagation of probabilistic and non-probabilistic uncertainty in the parameters of a risk model (2013)Simulation and the Monte Carlo Method (2016)Fuzzy relaxed-finite step size method to enhance the instability of the fuzzy first-order reliability method using conjugate discrete map (2017)Unreliable probabilities, risk taking, and decision making (1982)Unreliable probabilities, risk taking, and decision making (1988)Convex Models of Uncertainty in Applied Mechanics (1990)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Stochastic analysis of structural and mechanical vibrations (1996)Asymptotic Expansions for Reliability and Moments of Uncertain Systems (1997)First excursion probabilities for linear systems by very efficient importance sampling (2001)Non-probabilistic reliability method and reliability-based optimal LQR design for vibration control of structures with uncertain-but-bounded parameters (2013)Non-probabilistic time-variant reliability assessment (NTRA) for the active control of vibration systems with convex uncertainties (2018)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Robust optimization – A comprehensive survey (2007)A new interval uncertain optimization method for structures using Chebyshev surrogate models (2014)A new uncertain analysis method and its application in vehicle dynamics (2014)A state-of-the-art review on uncertainty analysis of rotor systems (2022)Quality Engineering in Production Systems (1990)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Narrow Reliability Bounds for Structural Systems (1979)A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables (2018)A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers (2020)Modeling, analysis, and optimization under uncertainties: a review (2021)Sequential optimization and reliability assessment for multidisciplinary systems design (2007)A novel non-probabilistic reliability-based design optimization algorithm using enhanced chaos control method (2017)Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model (2020)Multiscale uncertainty propagation analysis and reliability optimization of the CFRP crossbeam of the twist beam axle (2022)Two-stage vibration-suppression framework for optimal robust placements design and reliable PID gains design via set-crossing theory and artificial neural network (2022)Survey of sampling-based methods for uncertainty and sensitivity analysis (2006)Fatigue reliability analysis for structures with hybrid uncertainties combining quadratic response surface and polynomial chaos expansion (2020)Multi-scale uncertainty quantification of composite laminated plate considering random and interval variables with data driven PCE method (2020)Uncertainty-based decision-making in fire safety: Analyzing the alternatives (2020)Worst case scenario analysis for elliptic problems with uncertainty (2005)The encounter of interval and probabilistic approaches to structural reliability at the design point (2012)Natural frequencies of structures with interval parameters (2015)An efficient optimization based on the robust hybrid method for the coupled acoustic–structural system (2018)Hybrid interval and random analysis for structural-acoustic systems including periodical composites and multi-scale bounded hybrid uncertain parameters (2018)Reliability and reliability sensitivity analysis of structure by combining adaptive linked importance sampling and Kriging reliability method (2020)
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References

  • 1994A non-probabilistic concept of reliability402 cited
  • 2012A Chebyshev interval method for nonlinear dynamic systems under uncertainty304 cited
  • 2012Structural reliability analysis using non-probabilistic convex model219 cited
  • 1995Discussion on: A non-probabilistic concept of reliability217 cited
  • 2018A non-probabilistic time-variant reliable control method for structural vibration suppression problems with interval uncertainties74 cited
  • 2019Comparison of the reliability-based and safety factor methods for structural design63 cited
  • 2008Reliability-Based Performance Objectives and Probabilistic Robustness in Structural Control Applications57 cited
  • 2018Hybrid time-variant reliability estimation for active control structures under aleatory and epistemic uncertainties53 cited
  • 1999Whys and Hows in Uncertainty Modelling52 cited
  • 2006Time-dependent reliability of textile-strengthened RC structures under consideration of fuzzy randomness50 cited
  • 2005Reliability-Based Control Design for Uncertain Systems41 cited
  • 2019A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method40 cited
  • 1997Adaptive Monte Carlo Simulation for Time-Variant Reliability Analysis of Brittle Structures40 cited

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  • 2025

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Uncertain constitutive model for metals in the presence of inherent defects
31 cited
  • 2023Structural reliability-based design optimization with non-probabilistic credibility level16 cited
  • 2021An efficient wave based method for the mid-frequency transverse vibration analysis of a thermal beam with interval uncertainties15 cited
  • 2021Advanced surrogate-based time-dependent reliability analysis method by an effective strategy of reducing the candidate sample pool12 cited
  • 2022Dynamic reliability analysis of gear transmission system based on sparse grid numerical integration and saddle‐point approximation method11 cited
  • 2023Double-time-scale non-probabilistic reliability-based controller optimization for manipulator considering motion error and wear growth11 cited