Robust Game Theoretic Guidance and Control Laws for Missile Systems.
Abstract
The objective of our efforts was to extend and apply a new adaptive control technique based on a disturbance attenuation bound. The structure of this new adaptive control scheme is the result of formulating a disturbance attenuation problem for a particular class of nonlinear systems whose solution is obtained without any approximation. A global solution is obtained and must be contrasted with much of the nonlinear infinity results which assume that the scheme operates locally about some equilibrium condition. The class of nonlinearities considered is that of a linear system where the coefficient matrix of the control is assumed to be a linear function of an unknown parameter. The work performed on this grant extended this class to include state coefficients matrices linear in the parameter if the associated state that multiplies this term is measured perfectly. To bring these mathematical abstractions to engineering practice, a significant effort was made to apply this new adaptive control scheme to the development of an adaptive flight control system. We are just beginning to show performance improvements in the time response over that of standard adaptive controllers due to an initial reduction in the control effort associated with those control system parameters that are initially uncertain. This new adaptive controller involves not only the state and parameter estimates, but also the pseudo covariance matrix. This new adaptive scheme does require the determination of the global maxima of a certain function with respect to the uncertain parameters.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1995
- Accession Number
- ADA307807
Entities
People
- Jason L. Speyer
Organizations
- University of California, Los Angeles