Approximate Models of Singularly Perturbed Time-Varying Systems: A Bond Graph Approach

[1]  S. F. Takougang Tchinda,et al.  Dynamic Analysis of a Snap Oscillator Based on a Unique Diode Nonlinearity Effect, Offset Boosting Control and Sliding Mode Control Design for Global Chaos Synchronization , 2019, Journal of Control, Automation and Electrical Systems.

[2]  Pedro L. D. Peres,et al.  Computing stabilising output-feedback gains for continuous-time linear time-varying systems through discrete-time periodic models , 2019, Int. J. Control.

[3]  J. A. Padilla,et al.  Quasi-steady-state model of a class of nonlinear singularly perturbed system in a bond graph approach , 2018 .

[4]  R. B. Godoy,et al.  State-Space Models for Assisting Loosely Coupled Inductive Power Transfer Systems Analysis , 2018 .

[5]  Federica Garin,et al.  Strong Structural Input and State Observability of LTV Network Systems with Multiple Unknown Inputs , 2017 .

[6]  Francisco A. S. Neves,et al.  Mathematical Modeling of Electrical Grid Current and Voltage Waveforms for Protective Relay Tests Under Actual Faulty Grid Conditions , 2016 .

[7]  Gilberto Gonzalez-A A bond graph model of a singularly perturbed LTI MIMO system with a slow state estimated feedback , 2016 .

[8]  Hugo Tanzarella Teixeira,et al.  Closed-Loop Quantification and Compensation of Friction in an Inverted Pendulum , 2013 .

[9]  Gunther Reissig,et al.  Necessary conditions for structural and strong structural controllability of linear time-varying systems , 2013, 2013 European Control Conference (ECC).

[10]  Noé Barrera Gallegos,et al.  Quasi-steady state model determination for systems with singular perturbations modelled by bond graphs , 2013 .

[11]  V. Balakrishnan,et al.  An integral function approach to the exponential stability of linear time-varying systems , 2012 .

[12]  J. Jim Zhu,et al.  A generalization of chang transformation for Linear Time-Varying systems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[13]  James Richard Forbes,et al.  Passive linear time-varying systems: State-space realizations, stability in feedback, and controller synthesis , 2010, Proceedings of the 2010 American Control Conference.

[14]  Francesco Amato,et al.  Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design , 2010, IEEE Transactions on Automatic Control.

[15]  Ferdinand Verhulst,et al.  Singular perturbation methods for slow–fast dynamics , 2007 .

[16]  Takashi Kida,et al.  Asymptotic Stability of Second-Order Linear Time-Varying Systems , 2006 .

[17]  O. S. Turkay,et al.  Model reduction in the physical domain , 2003, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[18]  S. D. Pekarek,et al.  On the Use of Singular Perturbations to Neglect the Dynamic Saliency of Synchronous Machines , 2002, IEEE Power Engineering Review.

[19]  D. Naidu,et al.  Singular Perturbations and Time Scales in Guidance and Control of Aerospace Systems: A Survey , 2001 .

[20]  Dean Karnopp,et al.  System Dynamics: Modeling, Simulation, and Control of Mechatronic Systems , 1999 .

[21]  Min-Shin Chen,et al.  A Tracking Controller for Linear Time-Varying Systems , 1998 .

[22]  Francesco Amato,et al.  New sufficient conditions for the stability of slowly varying linear systems , 1993, IEEE Trans. Autom. Control..

[23]  S. Javid Stabilization of time-varying singularly perturbed systems by observer-based slow-state feedback , 1982 .

[24]  R. O'Malley Boundary Layer Methods for Nonlinear Initial Value Problems , 1971 .

[25]  Charles A. Desoer,et al.  Slowly varying system ẋ = A(t)x , 1969 .

[26]  N. Levinson Perturbations of discontinuous solutions of non-linear systems of differential equations , 1947, Proceedings of the National Academy of Sciences of the United States of America.

[27]  P. Rapisarda On the Identification of Self-Adjoint Linear Time-Varying State Models , 2018 .

[28]  Wolfgang Borutzky,et al.  Bond Graph Modelling of Engineering Systems Theory , Applications and Software Support , 2015 .

[29]  G. Dauphin-Tanguy,et al.  Bond graph approach to multi-time scale systems analysis , 1991 .

[30]  C. Sueur,et al.  Bond-graph approach for structural analysis of MIMO linear systems , 1991 .

[31]  Hassan K. Khalil,et al.  Singular perturbation methods in control : analysis and design , 1986 .

[32]  P. Borne,et al.  Order Reduction of Multi-time Scale Systems Using Bond Graphs, the Reciprocal System and the Singular Perturbation Method , 1985 .

[33]  Henry D'Angelo,et al.  Linear time-varying systems : analysis and synthesis , 1970 .

[34]  W. Wasow Asymptotic expansions for ordinary differential equations , 1965 .