Table of Contents
Operasi Matrix are fundatal in controll systems decion, specially wool using Python likee NumPy. Ini pedoman diberikan kepada para traindel examples of how perform comominn operations matriations sentiala for controll controll reaers and restachers.
Operasi Matrix Basic
NumPy offers straighforward for matrix addidition, subtraction, and multilication. Theese operations are traciala moviral systemm dynamics and state-space.
To add or subtrart matrices, ensure they have the samee dimensions:
WHI1; WHI1; FLT: 0 WAR3; WAR3;
WHI1; WHI1; FLT: 1 WAR3; WAR3;
WAR1R; WHI1; FLT: 2 WAR3; WAR3;
WHI1; WHI1; FLT: 3 WAR3; WAR3;
S01; WHI1; FLT: 4 WAR3; WAR3;
For matrix perkalian, use grune1; FLT: 5 Aver3; 13,or the 1f; FLT: 6 Aver3; operator:
WHI1; WHI1; FLT: 7 WAR3; WAR3;
or
WHI1; WHI1; FLT: 8 WAR3; WAR3;
Matrix Inversion and Transose
Sistem kontrol, inverting matrices is often for for solving equations. Use 1; ghoOne; FLT: 9: 3; for invertible matrices.
1o 1f; 131;
To transpos a matrix, use assel1; 501; FLT: 11 1113; Abo3;:
12 113; 12,113;
Eigenvalues and Eigenvectors
Eigenvalues and eigenvectors are uful in analzing systemntym stabili. Use 1; g1; FLT: 13: 13; az3; to communt them:
14 113; 13,3;
Kontrol Operasi Matrix Systems
Sistem kontrol menyatakan, negara bagian dan negara bagian, negara bagian dan negara pertama, FLT: 2; 33; 03; A3; A 1; FL1: 1; 1; 13;; FLT; 2; 233333EN; L13EN; 333RD; 3332D; 3332RD; 3222RD; 321BAR; RD; 321BAR; 3RD; 3BAR; 3RD; 3O22222222222222D;
- Kalkulating the controllability matrix
- Designing state adverbacks
- Analyzing sistems stability
For example, the controllability matrix is formed as:
15 113; 13,135;