필터 지우기
필터 지우기

Find S value in Algebra Ricatti Equation LQR

조회 수: 3 (최근 30일)
Ivan Dwi Putra
Ivan Dwi Putra 2020년 5월 13일
답변: Ivan Dwi Putra 2020년 5월 15일
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);

답변 (1개)

Ivan Dwi Putra
Ivan Dwi Putra 2020년 5월 15일
I want find s1 until s16 value in S matrix

카테고리

Help CenterFile Exchange에서 Creating and Concatenating Matrices에 대해 자세히 알아보기

태그

Community Treasure Hunt

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

Start Hunting!

Translated by