For each of the following state-feedback control systems, with state vector x(t) and input vector u(t), write down the corresponding matrices A, B and F when written in their state-space form * = Ax + Bu u = Fx (a) 1 = 5x1 - 92-5u1-4u2+ 2u3 = -6x2 + 8u1+ 6u2-5u3 u1 = 5x1 - 9r2 u2 = -6z1 - 4x2 uz = -621 + 6x2 Enter matrix A Show Instructions Enter matrix B Show Instructions Enter matrix F Show Instructions
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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