Math Forum Discussions

Wang

Posts: 4
Registered: 8/13/10

Re: Urgent! A question about the "ltisys" command
Posted: Feb 1, 2013 8:50 AM

Plain Text

I've happened to find that the matrices A, B, C and D shall be constructed as the following process.

A = A;
B = [B1, B2];
C = [C1; C2];
D = [D11, D12; D21, D22] ;

because the SYSTEM matrix is supposed to be

---- ----
| A(p) B1(p) B2 |
| C1(p) D11(p) D12 |
| C2 D21 D22 |
---- ----
where p is scheduling variable.

"Wang " <wmhericsnake@gmail.com> wrote in message <ked000$nbm$1@newscl01ah.mathworks.com>...
> As we all know that command "ltisys" normally take 5 parameters to form a SYSTEM matrix which could be used by command "psys"
>
> However, from the explanation described in LMI Control Toolbox, the matrices A, B, C, D are intended for the plant as
>
> Edx/dt= A*x(t) + B*u(t)
> y(t) = C*(x(t) + D(u(t)
>
> In the process of building up a gain scheduling LPV controller, the plant is normally described as
>
> P(.,p) defined as:
> x = A(p)*x + B1(p)*w + B2*u
> z = C1(p)*x + D11(p)*w + D12*u
> y = C2*x + D21*w + D22*u
>
> In the case, how can form the matrices B, C and D?
>
> By the way, the deom "misldem.m" which is supposed to provided as a demo is en empty m file in my computer. (it is located in X:\Program Files\MATLAB\R2011b\toolbox\robust\rctobsolete\lmi\ja) . Thus, I cannot get any more detail apart from the simple lines in the Toolbox User Guide.
>
> I't urget cause I'm building up a controller for wind turbine.
>
> Greate thanks!
>
> my email is wmhericsnake@gmail.com