Robust Trajectory Tracking for a Class of Hybrid Systems: An Internal Model Principle Approach

被引:49
|
作者
Galeani, Sergio [1 ]
Menini, Laura [1 ]
Potini, Alessandro [1 ]
机构
[1] Univ Roma Tor Vergata, Dip Informat Sistemi & Prod, I-00133 Rome, Italy
关键词
Asymptotic tracking; hybrid systems; internal model principle; switching systems; MULTIVARIABLE SYSTEMS; MECHANICAL SYSTEMS; STABILITY; REGULATORS; SUBJECT;
D O I
10.1109/TAC.2011.2162884
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the asymptotic tracking of periodic trajectories for hybrid systems having linear dynamics in each operating mode and isolated discrete switching events (switching systems). Parametric uncertainties are considered and the dimension of the state vector is allowed to vary among modes. To deal with the hybrid nature of the system, and the possible discontinuities of its solutions at switching times, a properly amended tracking control problem is defined and a feedback control law based on a discontinuous version of the classical internal model principle is proposed. The innovative design of the discrete-time dynamics of the compensator guarantees the robust existence of a steady-state response giving zero tracking error in the controlled output, and local convergence to it.
引用
收藏
页码:344 / 359
页数:16
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