Finite time differential equations

@article{Haimo1985FiniteTD,
  title={Finite time differential equations},
  author={V T Haimo},
  journal={1985 24th IEEE Conference on Decision and Control},
  year={1985},
  pages={1729-1733}
}
  • V. Haimo
  • Published 1 December 1985
  • Mathematics
  • 1985 24th IEEE Conference on Decision and Control
Continuous finite time differential equations are introduced as fast accurate controllers for dynamical systems. These have qualities superior to controllers which are currently in use in such applications as robotics. The structure of the phase portrait for scalar second order finite time systems is determined. This characterization is used to develop a class of second order finite time systems which can be used as controllers. 
View on IEEE
doi.org
7 Citations
Background Citations
3

7 Citations

Citation Type

Citation Type

Nonsingular fast terminal sliding‐mode control for nonlinear dynamical systems
This paper investigates fast finite‐time control of nonlinear dynamics using terminal sliding‐mode (TSM) scheme. Some new norms of fast TSM strategies are proposed, and a faster convergence rate is…
Terminal sliding mode control of master-slave system with Markovian jump parameters
The finite-time synchronization of master-slave system with Markovian jump parameters is investigated in this paper. An equivalent control based terminal sliding mode control is proposed to guarantee…
Robust finite-time convergence of chaotic systems via adaptive terminal sliding mode scheme
Modeling and Estimation Theory for Stochastic Dynamical Systems.
Abstract : This work investigated the use of pseudorandom models as substitutes for stochastic models in various engineering settings. In particular, certain aspects of estimation theory were…
Fixed‐time adaptive sliding mode trajectory tracking control of uncertain mechanical systems
An adaptive fixed‐time trajectory tracking controller is proposed for uncertain mechanical systems in this study. The polynomial reference trajectory is planned for trajectory tracking error.…
Robust continuous sliding mode control for aerodynamic missile using stable system center technique
  • Liang Yang, Jianying Yang
  • Engineering
    2010 3rd International Symposium on Systems and Control in Aeronautics and Astronautics
  • 2010
This paper considers output tracking of reference signals produced by some external generator for uncertain aerodynamic missile system, which exhibits nonminimum phase characteristics, i.e, zero…
Chaotic tip trajectory tracking and deflection suppression of a two-link flexible manipulator using second-order fast terminal SMC
TLDR
The problem of chaotic tip trajectory tracking control for a planar assumed modes modelled two-link flexible manipulator for four-dimensional chaotic hyperjerk system is addressed and the effectiveness of the proposed technique is compared with the normal second-order sliding mode control (SMC) and another controller reported recently in the literature.

References

SHOWING 1-5 OF 5 REFERENCES
Finite time controllers
Continuous finite time differential equations are introduced as fast accurate controllers for dynamical systems. These have qualities superior to controllers which are currently in use in such appl...
Some Extensions of Liapunov's Second Method
>In the study of the stability of a system, it is never completely satisfactory to know only that an equilibrium state is asymptotically stable. As a practical matter, it is necessary to have some…
Multivariable Nyquist criteria, root loci, and pole placement: A geometric viewpoint
Classical control theory is concerned with the topics in our title in the context of single-input/single-output systems. There is now a large and growing literature on the extension of these ideas to…
Combinatorics of Schubert calculus and inverse eigenvalue problems
Multivariable Nyqujst Criterion , Root Locus , and Pole Placement by Output Feedback
  • IEEE Trans . on Automatic Control