课程名称︰自动控制 课程性质︰工科系光机电组必修 课程教师︰江茂雄 开课学院：工学院 开课系所︰工科海洋系 考试日期（年月日）︰2009.05.12 考试时限（分钟）：120 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 1.(a) Please explain the following terms using a differential equation (i) linear and nonlinear (5%) (ii) time invariant and time-variant (5%) (iii) causal and noncausal (5%) (b) what's the difference of the initial condition between transfer function and state equation? (5%) 2. A control system with state equation as . -2 0 1 1 x = [ ]x + [ ]u(t) , X(0)=[ ] -1 -1 1 0 y=[0 1]x Solve the output y(t) as the input is the unit step by Laplace transform (20%) 3. A rotational system is shown below. A step input of torque T(t) is given at θ1 (a) Find the transfer function G(s)=θ2/T(S) (10%) (b) Solve the percent overshoot, settling time and peak time for θ2 (10%) T(t) θ1(t) θ2(t) ───(───(────1 kg‧m^2──1 N‧m‧s/rad──(───1 N‧m/rad──│ 4.A control system transfer function is s+3 G(s)=───── s^2+2s+7 (a) Represent it in state-space in phase variable form by drawing signal graph. (10%) (b) Represent it in state-space in controller canonical form by drawing signal graph. (10%) 5.A control system is shown below. (a) Find the closed-loop transfer function (5%) (b) Find the value of gain K for stability (5%) (c) Find the value of gain K that will make the system oscillate. (5%) (d) Find the oscillation frequency in (c) (5%) ┌──────┐ R(s) + ┌────┐ + │ 1 │ C(s) ──→○──→│ K │──→○─→│──────│─┬→ -↑ └────┘ -↑ │ s(s+2)(s+3)│ │ │ │ └──────┘ │ │ │ ┌───┐ │ │ └────│ s │←─┤ │ └───┘ │ │ │ └────────────────────────┘ --

※ 发信站: 批踢踢实业坊(ptt.cc) ◆ From: 59.104.84.53 ※ 编辑: miracle0722 来自: 59.104.84.53 (05/22 13:04)