quadperf
Purpose
Compute quadratic H
performance of polytopic or parameter-dependent system
Syntax
Description
The RMS gain of the time-varying system
|
(6-22) |
is the smallest 
> 0 such that
|
(6-23) |
for all input u(t) with bounded energy. A sufficient condition for (9-23) is the existence of a quadratic Lyapunov function
such that
Minimizing over such quadratic Lyapunov functions yields the quadratic H performance, an upper bound on the true RMS gain.
The command
computes the quadratic H performance perf when (9-22) is a polytopic or affine parameter-dependent system ps (see psys). The Lyapunov matrix P yielding the performance perf is returned in P.
The optional input options gives access to the following task and control parameters:
- If options(1)=1, perf is the largest portion of the parameter box where the quadratic RMS gain remains smaller than the positive value g (for affine parameter-dependent systems only). The default value is 0
- If options(2)=1, quadperf uses the least conservative quadratic performance test. The default is options(2)=0 (fast mode)
- options(3) is a user-specified upper bound on the condition number of P (the default is 109).
See Also
quadstab Quadratic stability of polytopic or affine
parameter-dependent systems
psys Specification of uncertain state-space models
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