PRESCRIBED-TIME STABILIZATION- NOISE-ROBUSTNESS, GENERALIZATIONS, APPLICATIONS

Abstract

This proposal is inspired by the ability of an archaic, 1950’s-era (pre-modern control), missile guidance law, commonly referred to as ‘proportional navigation’ (PN), to achieve regulation (i.e., to strike a target) faster than exponentially, and not only within some finite time that the user can’t arbitrarily set, but within a user-prescribed finite time. (To make the proposal self-contained, we provide some detail on PN and missile guidance in Appendix A.) Until recently, such capability of prescribed-time regulation has been exclusive to the heuristic setting of PN. Discontinuous control laws, such as sliding mode controls, only achieve finite-time regulation, with the convergence time dependent on the initial conditions (the larger the initial condition, the longer the convergence time, typically).

Document Details

Document Type
DoD Grant Award
Publication Date
Mar 07, 2023
Source ID
FA95502210265

Entities

People

  • Miroslav Krstić

Organizations

  • Air Force Office of Scientific Research
  • United States Air Force
  • University of California, San Diego

Tags

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science.
  • Seismology