Nonlinear orbital H∞-stabilization of underactuated mechanical systems with unilateral constraints

被引:0
|
作者
Montano, Oscar [1 ,2 ]
Orlov, Yury [1 ]
Aoustin, Yannick [2 ]
Chevallereau, Christine [2 ]
机构
[1] Ctr Sci Res & Higher Educ Ensenada, Dept Elect & Telecommun, Carretera Ensenada Tijuana 3918, Ensenada 22860, BC, Mexico
[2] Univ Nantes, LUNAM, Inst Rech Commun & Cybernet Nantes, UMR CNRS 6597,Ecole Cent Nantes,CNRS, F-44321 Nantes 3, France
关键词
hybrid systems; robust control; biped; orbital stability; unilateral constraints; underactuated systems; STABILITY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The present investigation introduces a novel control strategy for hybrid dynamic systems with unilateral constraints. Sufficient conditions are presented to ensure internal asymptotic stability and external disturbances attenuation. The developed synthesis is applied to the orbital stabilization of an underactuated bipedal robot periodically touching the ground. Good performance of the closed-loop system is obtained not only in the presence of external disturbances, affecting the gait of the biped between impacts and under uncertainties at the velocity restitution when the ground collision occurs.
引用
收藏
页码:806 / 811
页数:6
相关论文
共 50 条
  • [1] Constructive tool for orbital stabilization of underactuated nonlinear systems: Virtual constraints approach
    Shiriaev, A
    Perram, JW
    Canudas-de-Wit, C
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (08) : 1164 - 1176
  • [2] Excessive Transverse Coordinates for Orbital Stabilization of (Underactuated) Mechanical Systems
    Saetre, Christian Fredrik
    Shiriaev, Anton
    Pchelkin, Stepan
    Chemori, Ahmed
    2020 EUROPEAN CONTROL CONFERENCE (ECC 2020), 2020, : 895 - 900
  • [3] A Constructive Procedure for Orbital Stabilization of a Class of Underactuated Mechanical Systems
    Romero, Jose Guadalupe
    Gandarilla, Isaac
    Santibanez, Victor
    Yi, Bowen
    IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2022, 30 (06) : 2698 - 2706
  • [4] Orbital stabilization of point-to-point maneuvers in underactuated mechanical systems
    Saetre, Christian Fredrik
    Shiriaev, Anton
    AUTOMATICA, 2023, 147
  • [5] Orbital Stabilization of Point-to-Point Maneuvers in Underactuated Mechanical Systems
    Sætre, Christian Fredrik
    Shiriaev, Anton S.
    arXiv, 2021,
  • [6] Sliding mode control to stabilization of nonlinear Underactuated mechanical systems
    Said, Imen
    Touati, Nahla
    PRZEGLAD ELEKTROTECHNICZNY, 2021, 97 (07): : 106 - 109
  • [7] Stabilization and output tracking for underactuated mechanical systems with inequality state constraints
    Tanner, HG
    Kyriakopoulos, KJ
    2001 IEEE/ASME INTERNATIONAL CONFERENCE ON ADVANCED INTELLIGENT MECHATRONICS PROCEEDINGS, VOLS I AND II, 2001, : 862 - 867
  • [8] Underactuated mechanical systems: Whether orbital stabilization is an adequate assignment for a controller design?
    Mamedov, Sh
    Khusainov, R.
    Gusev, S.
    Klimchik, A.
    Maloletov, A.
    Shiriaev, A.
    IFAC PAPERSONLINE, 2020, 53 (02): : 9262 - 9269
  • [9] Dynamic virtual holonomic constraints for stabilization of closed orbits in underactuated mechanical systems
    Mohammadi, Alireza
    Maggiore, Manfredi
    Consolini, Luca
    AUTOMATICA, 2018, 94 : 112 - 124
  • [10] Immersion and invariance orbital stabilization of underactuated mechanical systems with collocated pre-feedback
    Romero, Jose Guadalupe
    Yi, Bowen
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2024, 34 (14) : 9421 - 9437