Accession Number : AD0762797

Title :   An Analytical Method for the Synthesis of Nonlinear Multivariable Feedback Control.

Descriptive Note : Final rept. 10 Apr 72-30 Apr 73,

Corporate Author : UNITED AIRCRAFT RESEARCH LABS EAST HARTFORD CONN

Personal Author(s) : Michael,Gerald J. ; Farrar,Florence A.

Report Date : JUN 1973

Pagination or Media Count : 76

Abstract : An analytical synthesis method for the feedback control of nonlinear multivariable systems was developed. The synthesis procedure derived is based on linearizing a system about a set of closely-spaced steady-state operating points and applying linear optimization methods at each point. A single nonlinear control problem is thereby reduced to a series of linear control problems. This permits the use of established analytical and numerical methods associated with linear optimal control theory. At each operating point, an optimal linear feedback controller is generated by minizing a quadratic performance criterion. Weighting factors within each performance criterion enable the control designer to satisfy performance specifications by trading-off system response against control actuation rates. Nonlinear feedback control is then constructed by combining the series of linear controllers into a single nonlinear controller whose feedback gains vary with system state. (Modified author abstract)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), (*TURBOFAN ENGINES, ADAPTIVE CONTROL SYSTEMS), NONLINEAR SYSTEMS, SYNTHESIS, INTEGRAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, MATHEMATICAL MODELS, MATRICES(MATHEMATICS), GAS FLOW, STABILITY

Subject Categories : Theoretical Mathematics
      Jet and Gas Turbine Engines

Distribution Statement : APPROVED FOR PUBLIC RELEASE