Robust Hybrid Output Regulation for Linear Systems With Periodic Jumps: The Non-Semiclassical Case

@article{deCarolis2020RobustHO,
  title={Robust Hybrid Output Regulation for Linear Systems With Periodic Jumps: The Non-Semiclassical Case},
  author={Giovanni de Carolis and Sergio Galeani and Mario Sassano},
  journal={IEEE Control Systems Letters},
  year={2020},
  volume={4},
  pages={25-30}
}
This letter solves the robust hybrid output regulation problem for uncertain hybrid MIMO linear systems with periodic jumps without assuming any a priori structural decomposition on the considered plant (as in the semi-classical case). A necessary condition for solving the problem is that the regulator must incorporate an internal model of the flow zero-dynamics, which is typically affected by uncertainties and then unknown. Hence, the proposed regulator consists of three units: a data-driven… 
2 Citations
Output Regulation Problems in Hybrid Systems
  • S. Galeani
  • Encyclopedia of Systems and Control
  • 2021
Output Regulation Problems in Hybrid Systems
  • S. Galeani
  • Encyclopedia of Systems and Control
  • 2019

References

SHOWING 1-10 OF 35 REFERENCES
Robust Hybrid Output Regulation for Linear Systems With Periodic Jumps: Semiclassical Internal Model Design
A complete procedure for the design of a robust output feedback regulator is proposed for a class of uncertain linear hybrid systems with periodic jumps, using a hybrid extension of the classical
Internal Model Principle for Linear Systems With Periodic State Jumps
  • L. Marconi, A. Teel
  • Mathematics, Computer Science
    IEEE Transactions on Automatic Control
  • 2013
TLDR
Key concepts and tools well known in the field of output regulation for continuous-time systems, such as the concept of steady-state response, of regulator equations and the internal model property, are generalized to the hybrid setting.
Hybrid Output Regulation for Linear Systems With Periodic Jumps: Solvability Conditions, Structural Implications and Semi-Classical Solutions
TLDR
Two semi-classical solutions to the hybrid output regulation problem are introduced and discussed, characterized by the property that the required steady-state input can be generated as a simple linear function of the state of the exosystem (as in the non-hybrid case), although the associated steady- state response has a genuinely hybrid structure.
Output regulation for a class of linear hybrid systems. Part 1: trajectory generation
TLDR
The procedure for the design of an automatic device generating the steady-state response and input and a compensator ensuring incremental stability are described, so that the classical output regulation problem for the same class of hybrid linear systems can be immediately solved.
Output regulation by error dynamic feedback in hybrid systems with periodic state jumps
TLDR
The internal model principle is shown to hold in a more general formulation than the original one, adapted to the hybrid systems considered, and the geometric approach is the key methodology in attaining these results.
Semi-global nonlinear output regulation with adaptive internal model
TLDR
This work presents a classical solution in terms of the parallel connection of a robust stabilizer and an internal model, where the latter is adaptively tuned to the device that reproduces the steady-state control necessary to maintain the output-zeroing condition.
Robust Trajectory Tracking for a Class of Hybrid Systems: An Internal Model Principle Approach
TLDR
A feedback control law based on a discontinuous version of the classical internal model principle is proposed for asymptotic tracking of periodic trajectories for hybrid systems having linear dynamics in each operating mode and isolated discrete switching events.
Output regulation for a class of linear hybrid systems. Part 2: stabilization
TLDR
It is remarked that stabilization and regulation are achieved for general MIMO plants without relying on minimum phase, relative degree or squareness assumptions.
External Models for Output Regulation based on Moment Estimation from Input-Output Data
Abstract In this paper, we propose a novel, data-driven approach to external model-based regulation for uncertain plant and known exosystem models. At the core of the method lies a technique for
A note about hybrid linear regulation
  • L. Marconi, A. Teel
  • Computer Science, Engineering
    49th IEEE Conference on Decision and Control (CDC)
  • 2010
TLDR
This work focuses on the class of linear systems and exosystems whose dynamics have jumps according to the value of a clock variable, and addresses the problem of designing controllers embedding an internal model of the switching exos system to achieve the regulation objective.
...
1
2
3
4
...