Input to state stability and allied system properties
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The main results obtained in the field of input-state stable systems and systems with other similar characteristics that were published over the last two decades were reviewed.Abstract:
The main results obtained in the field of input-state stable systems and systems with other similar characteristics that were published over the last two decades were reviewed.read more
Citations
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Journal ArticleDOI
Input-to-State Stability of Nonlinear Impulsive Systems
TL;DR: It is proved that impulsive systems, which possess an input-to-state stable (ISS) Lyapunov function, are ISS for time sequences satisfying the fixed dwell-time condition and two small-gain theorems are proved that provide a construction of an ISS Lyap unov function for an interconnection of impulsive Systems if the ISS LyAPunov functions for subsystems are known.
Journal ArticleDOI
On homogeneity and its application in sliding mode control
TL;DR: Within this framework, most of the popular high-order sliding mode control schemas are analysed and some recently obtained results about homogeneity for differential inclusions and robustness with respect to perturbations in the context of input-to-state stability are stressed.
Journal ArticleDOI
Input-to-state stability of infinite-dimensional control systems
TL;DR: It is shown that for certain classes of admissible inputs, the existence of an ISS-Lyapunov function implies the ISS of a system, and it is proved a linearization principle that allows a construction of a local ISS- Lyap unov function for a system.
Journal ArticleDOI
Finite-time and fixed-time observer design: Implicit Lyapunov function approach
Francisco Lopez-Ramirez,Andrey Polyakov,Andrey Polyakov,Denis Efimov,Wilfrid Perruquetti,Wilfrid Perruquetti +5 more
TL;DR: The proposed nonlinear dynamic observers guarantee convergence of the observer states to the original system state in a finite and in a fixed (defined a priori ) time.
Journal ArticleDOI
Continuous Sliding-Mode Control Strategies for Quadrotor Robust Tracking: Real-Time Application
TL;DR: This paper proposes a robust tracking output-control strategy for a quadrotor under the influence of external disturbances and uncertainties that is composed of a finite-time sliding-mode observer, which estimates the full state from the measurable output and identifies some types of disturbances.
References
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Book
Nonlinear Control Systems
Alberto Isidori,M. Thoma,Eduardo D. Sontag,B. W. Dickinson,A. Fettweis,J. L. Massey,J. W. Modestino +6 more
TL;DR: In this paper, a systematic feedback design theory for solving the problems of asymptotic tracking and disturbance rejection for linear distributed parameter systems is presented, which is intended to support the development of flight controllers for increasing the high angle of attack or high agility capabilities of existing and future generations of aircraft.
Book
Nonlinear and adaptive control design
TL;DR: In this paper, the focus is on adaptive nonlinear control results introduced with the new recursive design methodology -adaptive backstepping, and basic tools for nonadaptive BackStepping design with state and output feedbacks.
Book
Switching in Systems and Control
TL;DR: I. Stability under Arbitrary Switching, Systems not Stabilizable by Continuous Feedback, and Systems with Sensor or Actuator Constraints with Large Modeling Uncertainty.
Journal ArticleDOI
Dissipative dynamical systems part I: General theory
TL;DR: In this paper, a general theory of dissipative dynamical systems is presented, where dissipativeness is defined in terms of an inequality involving the storage function and the supply function, which is bounded from below by the available storage and from above by the required supply.