Accession Number : ADA297442

Title :   Optimal Mixed-Norm Control Synthesis for Discrete-Time Linear Systems.

Descriptive Note : Doctoral thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH

Personal Author(s) : Jacques, David R.

PDF Url : ADA297442

Report Date : JUN 1995

Pagination or Media Count : 233

Abstract : A mixed-norm approach to control synthesis for discrete time linear systems is developed. Specifically, the problem of minimizing the H2 norm of a transfer function, subject to a combination of l1 and/or H-infinity norm constraints on dissimilar but related transfer functions is considered. The uniqueness of the optimal solution is shown, and numerical methods for approximating the optimal solution to within arbitrary accuracy are developed. These methods generally result in high order compensators which can not be implemented in most practical applications. In response to this, a numerical method is developed which solves for suboptimal solutions of a fixed, specifiable order. The method is packaged as a toolbox for the popular MATLAB software program. Several examples are developed which demonstrate potential applications for the mixed-norm method. (AN)

Descriptors :   *OPTIMIZATION, *LINEAR PROGRAMMING, *CONTROL THEORY, COMPUTER PROGRAM DOCUMENTATION, MATHEMATICAL MODELS, ALGORITHMS, SIGNAL PROCESSING, LINEAR SYSTEMS, STABILITY, COMPUTATIONS, TRANSFER FUNCTIONS, FLIGHT CONTROL SYSTEMS, TIME DEPENDENCE, WHITE NOISE, ACCURACY, THESES, INPUT OUTPUT PROCESSING, SOLUTIONS(GENERAL), FEEDBACK, CONVERGENCE, DISCRETE DISTRIBUTION, OPERATORS(MATHEMATICS), VECTOR SPACES, NUMERICAL METHODS AND PROCEDURES, LAGRANGIAN FUNCTIONS, COMPENSATORS, LYAPUNOV FUNCTIONS, RICCATI EQUATION, NONCONVEX PROGRAMMING.

Subject Categories : Operations Research
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE