State

Solving state space equations numerically

Solving state space equations numerically
  1. How to solve state space model in MATLAB?
  2. How do you find the state equation?
  3. How the number of equations in the state space representation is related to the system order?

How to solve state space model in MATLAB?

sys = ss( A , B , C , D , ltiSys ) creates a state-space model with properties such as input and output names, internal delays and sample time values inherited from the model ltisys . sys = ss( D ) creates a state-space model that represents the static gain, D .

How do you find the state equation?

The state equation has a single first order derivative of the state vector on the left, and the state vector, q(t), and the input u(t) on the right. There are no derivatives on the right hand side. The output equation has the output on the left, and the state vector, q(t), and the input u(t) on the right.

How the number of equations in the state space representation is related to the system order?

State variables

, is usually equal to the order of the system's defining differential equation, but not necessarily. If the system is represented in transfer function form, the minimum number of state variables is equal to the order of the transfer function's denominator after it has been reduced to a proper fraction.

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