Page 732 - Mechanical Engineers' Handbook (Volume 2)
P. 732

3 State-Variable Selection and Canonical Forms  723

            Table 1 State-Space Canonical Forms for SISO Continuous-Time Systems
                                                    n
                                            Y(s)    s     n 1 s n 1            s     0
                                      H(s)        n                 1
                                                   n
                                            U(s)  s     n 1 s n 1            s     0
                                                                   1
              I. Controllable canonical form
                Simulation diagram
















                System matrices
                      0                         0
                     0
                                                0
                                                0
                A    0         I n 1       B         D     n

                                                1
                       0     1       n 1
                                      ...           ]
                     0
                C   [       0         1     n 1  nn 1
                         n
                                  n
                              1
             II. Observable canonical form
                Simulation diagram
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