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dhinfdemo

PURPOSE ^

% Demonstrate the functions available to design a discrete

SYNOPSIS ^

This is a script file.

DESCRIPTION ^

% -*- texinfo -*-
% @deftypefn {Function File} {} dhinfdemo 
% Demonstrate the functions available to design a discrete
% @iftex
% @tex
% $ { \cal H }_\infty $
% @end tex
% @end iftex
% @ifinfo
% H-infinity
% @end ifinfo
% controller.  This is not a true discrete design. The
% design is carried out in continuous time while the effect of sampling
% is described by a bilinear transformation of the sampled system.
% This method works quite well if the sampling period is 'small'
% compared to the plant time constants.
%
% Continuous plant:
% @iftex
% @tex
% $$ G(s) = { 1 \over (s+2) (s+1) } $$
% @end tex
% @end iftex
% @ifinfo
% @example
% @group
%                   1
%      G(s) = --------------
%             (s + 2)(s + 1)
% @end group
% @end example
% @end ifinfo
%
% Discretised plant with @acronym{ZOH} (Sampling period = @var{Ts} = 1 second):
% @iftex
% @tex
% $$ G(z) = { 0.39958z + 0.14700 \over (z - 0.36788) (z - 0.13533) } $$
% @end tex
% @end iftex
% @ifinfo
% @example
% @group
%                 0.39958z + 0.14700
%      G(z) = --------------------------
%             (z - 0.36788)(z - 0.13533)
% @end group
% @end example
% @end ifinfo
%
% @example
% @group
%                               +----+
%          -------------------->| W1 |---> v1
%      z   |                    +----+
%      ----|-------------+                   | T   |     => min.
%          |             |                       vz   infty
%          |    +---+    v      +----+
%          *--->| G |--->O--*-->| W2 |---> v2
%          |    +---+       |   +----+
%          |                |
%          |    +---+       |
%          -----| K |<-------
%               +---+
% @end group
% @end example
%
% @noindent
% W1 and W2 are the robustness and performancs weighting functions.
% @end deftypefn

CROSS-REFERENCE INFORMATION ^

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