State variables

| Vectorized |
в палитре на схеме

The block implements the description of a multidimensional linear dynamic system in matrix form:

where A, B, C, D are matrices of: the system, input, output and bypass, respectively; x(t) is a vector of state variables (dimension [Nx]); u(t) is an input vector (dimension [Nu]); y(t) is an output vector, (dimension [Ny]).

The dimension of the matrix A is [Nx×Nx];

The dimension of the matrix B is [Nu×Nx];

The dimension of the matrix C is [Nx×Ny];

The dimension of the matrix D is [Nu×Ny].

The 1st number in square brackets is the number of columns, the 2nd number is the number of rows. Mandatory сondition: NxNy. The input and output of the block are vector signals (with dimensions Nu and Ny, respectively).

Входные порты

  • input - input signal.

Выходные порты

  • output - output converted signal.

Свойства

  • Number of state variablesNx;
  • Number of input influencesNu;
  • Number of outputsNy;
  • Matrix A(Nx*Nx);
  • Matrix B(Nu*Nx);
  • Matrix C(Nx*Ny);
  • Matrix D(Nu*Ny);
  • Initial conditions (Nx) – vector of initial conditions, dimension Nx.

Параметры

  • Dynamic variables - internal block condition variables;
  • Derivatives - internal block condition variables.