Find S value in Algebra Ricatti Equation LQR

3 vues (au cours des 30 derniers jours)
Ivan Dwi Putra
Ivan Dwi Putra le 13 Mai 2020
I have code like that
In that code i want find S matriks Value with left_ARE = Right_are it can?
clear; close; clc;
syms a1 a2 b h
% Model data
A = sym(zeros(4,4));
A(1,2) = a1;
A(3,2) = a2-1; A(3,4) = a2;
display(A);
B = sym(zeros(4,2));
B(1,1) = -b*h;
B(2,1) = b;
B(3,2) = -b*h;
B(4,1) = -b; B(4,2) = b;
display(B);
% Q and R matrices for ARE
Q = sym(eye(4)); display(Q);
R = sym(zeros(2,2)); R(1,:) = [1 1]; R(2,:) = [1 2]; display(R);
% Matrix S to find
svar = sym('s',[1 16]);
S = [svar(1:4); svar(5:8); svar(9:12); svar(13:16)];
S(2,1) = svar(2);
S(3,1) = svar(3);
S(3,2) = svar(7);
S(4,1) = svar(4);
S(4,2) = svar(8);
S(4,3) = svar(12);
display(S);
% LHS of ARE: A'*S + S*A' - S*B*Rinv*B'*S
left_ARE = transpose(A)*S + S*A - S*B*inv(R)*transpose(B)*S;
display(left_ARE);
% RHS of ARE: A'*S + S*A' - S*B*Rinv*B'*S
right_ARE = -Q;
display(right_ARE);
% Find S in ARE
S = left_ARE == right_ARE;
display(S);

Réponses (1)

Ivan Dwi Putra
Ivan Dwi Putra le 15 Mai 2020
I want find s1 until s16 value in S matrix

Catégories

En savoir plus sur Creating and Concatenating Matrices dans Help Center et File Exchange

Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by