scholarly journals Path following of a class of underactuated mechanical systems via immersion and invariance‐based orbital stabilization

2020 ◽  
Vol 30 (18) ◽  
pp. 8521-8544
Author(s):  
Bowen Yi ◽  
Romeo Ortega ◽  
Ian R. Manchester ◽  
Houria Siguerdidjane
Keyword(s):  
Mechanical Systems ◽  
Path Following ◽  
Underactuated Mechanical Systems ◽  
Immersion And Invariance ◽  
Orbital Stabilization

ORBITAL STABILIZATION OF UNDERACTUATED MECHANICAL SYSTEMS

2002 ◽  
Vol 35 (1) ◽  
pp. 527-532 ◽  
Author(s):  
Carlos Canudas-de-Wit ◽  
Bernard Espiau ◽  
Claudio Urrea
Keyword(s):  
Mechanical Systems ◽  
Underactuated Mechanical Systems ◽  
Orbital Stabilization

scholarly journals Orbital stabilization of a class of underactuated mechanical systems

PAMM ◽  
2012 ◽  
Vol 12 (1) ◽  
pp. 711-712 ◽  
Author(s):  
Carsten Knoll ◽  
Klaus Röbenack
Keyword(s):  
Mechanical Systems ◽  
Underactuated Mechanical Systems ◽  
Orbital Stabilization

Constructive immersion and invariance stabilization for a class of underactuated mechanical systems

Automatica ◽  
2013 ◽  
Vol 49 (5) ◽  
pp. 1442-1448 ◽  
Author(s):  
I. Sarras ◽  
J.Á. Acosta ◽  
R. Ortega ◽  
A.D. Mahindrakar
Keyword(s):  
Mechanical Systems ◽  
Underactuated Mechanical Systems ◽  
Immersion And Invariance

scholarly journals Underactuated mechanical systems: Whether orbital stabilization is an adequate assignment for a controller design?

2020 ◽  
Vol 53 (2) ◽  
pp. 9262-9269
Author(s):  
Sh. Mamedov ◽  
R. Khusainov ◽  
S. Gusev ◽  
A. Klimchik ◽  
A. Maloletov ◽  
...  
Keyword(s):  
Controller Design ◽  
Mechanical Systems ◽  
Underactuated Mechanical Systems ◽  
Orbital Stabilization

scholarly journals Observer-based robust integral of the sign of the error control of class I of underactuated mechanical systems: Theory and real-time experiments

2021 ◽  
pp. 014233122110313
Author(s):  
Afef Hfaiedh ◽  
Ahmed Chemori ◽  
Afef Abdelkrim
Keyword(s):  
Real Time ◽  
Error Control ◽  
Degrees Of Freedom ◽  
Sliding Mode ◽  
Mechanical Systems ◽  
Class I ◽  
Control Input ◽  
Underactuated Mechanical Systems ◽  
Control Scheme ◽  
And Performance

In this paper, the control problem of a class I of underactuated mechanical systems (UMSs) is addressed. The considered class includes nonlinear UMSs with two degrees of freedom and one control input. Firstly, we propose the design of a robust integral of the sign of the error (RISE) control law, adequate for this special class. Based on a change of coordinates, the dynamics is transformed into a strict-feedback (SF) form. A Lyapunov-based technique is then employed to prove the asymptotic stability of the resulting closed-loop system. Numerical simulation results show the robustness and performance of the original RISE toward parametric uncertainties and disturbance rejection. A comparative study with a conventional sliding mode control reveals a significant robustness improvement with the proposed original RISE controller. However, in real-time experiments, the amplification of the measurement noise is a major problem. It has an impact on the behaviour of the motor and reduces the performance of the system. To deal with this issue, we propose to estimate the velocity using the robust Levant differentiator instead of the numerical derivative. Real-time experiments were performed on the testbed of the inertia wheel inverted pendulum to demonstrate the relevance of the proposed observer-based RISE control scheme. The obtained real-time experimental results and the obtained evaluation indices show clearly a better performance of the proposed observer-based RISE approach compared to the sliding mode and the original RISE controllers.

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