Stability margins and model-free control: A first look

We show that the open-loop transfer functions and the stability margins may be defined within the recent model-free control setting. Several convincing computer experiments are presented including one which studies the robustness with respect to delays.

[1]  Liuping Wang,et al.  Identification of Continuous-time Models from Sampled Data , 2008 .

[2]  Olivier Gibaru,et al.  Error analysis of Jacobi derivative estimators for noisy signals , 2011, Numerical Algorithms.

[3]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

[4]  Wim Michiels,et al.  Model-free control of nonlinear power converters , 2013, ArXiv.

[5]  Franjo Jović,et al.  Process Control Systems , 1986 .

[6]  Javier Orus,et al.  Model-free control of a 3-DOF piezoelectric nanopositioning platform , 2013, 52nd IEEE Conference on Decision and Control.

[7]  Cédric Join,et al.  Numerical differentiation with annihilators in noisy environment , 2009, Numerical Algorithms.

[8]  Kurt Reinschke,et al.  Regelungstechnik. Einführung in die Methoden und ihre Anwendung , 2014, Autom..

[9]  Rafal Madonski,et al.  Model-free control of a two-dimensional system based on uncertainty reconstruction and attenuation , 2013, 2013 Conference on Control and Fault-Tolerant Systems (SysTol).

[10]  Richard Marquez,et al.  An extension of predictive control, PID regulators and Smith predictors to some linear delay systems , 2002 .

[11]  Cédric Join,et al.  Active magnetic bearing: A new step for model-free control , 2013, 52nd IEEE Conference on Decision and Control.

[12]  Hebertt Sira-Ramírez,et al.  Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques , 2007 .

[13]  Michel Fliess,et al.  “Intelligent” controllers on cheap and small programmable devices , 2013, 2013 Conference on Control and Fault-Tolerant Systems (SysTol).

[14]  Michel Fliess,et al.  Une "commande sans modèle" pour aménagements hydroélectriques en cascade , 2013 .

[15]  Mrdjan J. Jankovic,et al.  Constructive Nonlinear Control , 2011 .

[16]  Daniel Thomasset,et al.  Robustness Study on the Model-Free Control and the Control with Restricted Model of a High Performance Electro-Hydraulic System , 2013 .

[17]  Keqin Gu,et al.  Stability and Stabilization of Systems with Time Delay , 2011, IEEE Control Systems.

[18]  S. Niculescu Delay Effects on Stability: A Robust Control Approach , 2001 .

[19]  A. TUSTIN,et al.  Automatic Control Systems , 1950, Nature.

[20]  Daniel E. Miller,et al.  On the Achievable Delay Margin Using LTI Control for Unstable Plants , 2007, IEEE Transactions on Automatic Control.

[21]  Jean-François Balmat,et al.  Model-free control and fault accommodation for an experimental greenhouse , 2014 .

[22]  Wim Michiels,et al.  Model-free control of microgrids , 2011 .

[23]  Jing Wang,et al.  Event driven model free control of quadrotor , 2013, 2013 IEEE International Conference on Control Applications (CCA).

[24]  M. Hoagland,et al.  Feedback Systems An Introduction for Scientists and Engineers SECOND EDITION , 2015 .

[25]  H. T. H. PIAGGIO,et al.  The Operational Calculus , 1943, Nature.

[26]  Brigitte d'Andréa-Novel,et al.  Multivariable decoupled longitudinal and lateral vehicle control: A model-free design , 2013, 52nd IEEE Conference on Decision and Control.

[27]  Cédric Join,et al.  Model-free control , 2013, Int. J. Control.

[28]  C. Abdallah,et al.  Stability and Stabilization of Systems with Time Delay. Limitations and Opportunities , 2010 .

[29]  Cédric Join,et al.  Non-linear estimation is easy , 2007, Int. J. Model. Identif. Control..

[30]  M. Fliess,et al.  An algebraic framework for linear identification , 2003 .