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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
\(x_{1} = x_{\text{p}}\) \(u_{1} = F_{r}\) \(Y = F\) \(\alpha_{1} = \omega\) \(\alpha_{8} = A_{\text{p}}\)
\(x_{2} = \dot{x}_{\text{p}}\)    \(\alpha_{2} = \zeta\) \(\alpha_{9} = \beta_{e}\)
\(x_{3} = x_{\text{v}}\)    \(\alpha_{3} = p_{s}\) \(\alpha_{10} = m_{t}\)
\(x_{4} = \dot{x}_{\text{v}}\)    \(\alpha_{4} = p_{0}\) \(\alpha_{11} = K_{f}\)
\(x_{5} = p_{\text{1}}\)    \(\alpha_{5} = C_{ip}\) \(\alpha_{12} = K_{p}\)
\(x_{6} = p_{\text{2}}\)    \(\alpha_{6} = L\) \(\alpha_{13} = K\)
    \(\alpha_{7} = L_{0}\) \(\alpha_{14} = B_{p}\)