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Table 1 Each vector of the state space equations

From: Parameters Sensitivity Characteristics of Highly Integrated Valve-Controlled Cylinder Force Control System

State vector

Input vector

Output vector

Parameter vector

\(x_{1} = x_{\text{p}}\)

\(u_{1} = F_{r}\)

\(Y = F\)

\(\alpha_{1} = \omega\)

\(\alpha_{8} = A_{\text{p}}\)

\(x_{2} = \dot{x}_{\text{p}}\)

  

\(\alpha_{2} = \zeta\)

\(\alpha_{9} = \beta_{e}\)

\(x_{3} = x_{\text{v}}\)

  

\(\alpha_{3} = p_{s}\)

\(\alpha_{10} = m_{t}\)

\(x_{4} = \dot{x}_{\text{v}}\)

  

\(\alpha_{4} = p_{0}\)

\(\alpha_{11} = K_{f}\)

\(x_{5} = p_{\text{1}}\)

  

\(\alpha_{5} = C_{ip}\)

\(\alpha_{12} = K_{p}\)

\(x_{6} = p_{\text{2}}\)

  

\(\alpha_{6} = L\)

\(\alpha_{13} = K\)

   

\(\alpha_{7} = L_{0}\)

\(\alpha_{14} = B_{p}\)