(a) Under the conditions of min(Ib ㅡal) and lal ＞ Ibl, please give your controller( K,, a, b ) to satisfy above specifications.

(a) Derive the state equation for the system in Fig. 4(a). In this figure, C represents a linear damper which generates a reaction force proportional to its velocity (with C being the proportional constant), M is a mass, and F is the applied force input. You should use the velocity of mass, v, as the state variable.(3pts) (b) Derive the state equation for the system in Fig. 4 (b). In this figure, in addition to the damper (C) and the force input F, K represents a linear spring (with K being the spring constant). You should use the deformation of the spring, x, as the state variable.

題組內容

(a) Under the conditions of min(Ib ㅡal) and lal ＞ Ibl, please give your controller( K,, a, b ) to satisfy above specifications.

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