96下控制系統期&au

96下控制系統期&au

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Unformatted text preview: 1. Control Systems Midterm Examination Dept of Electrical Engineering, National Taiwan University April 24, 2008 (a) Please explain the purpose of deriving a mathematical model for a process to be controlled. (10%) ‘ (b)lwhat are the benefits if you have a more accurate model of the process to be controlled than a less accurate one? ( 10%) (c) how do you compare the transfer function model and the state space model? (10%) Given a second—order dynamic system, suppose the step response of the system has to satisfy the following constraints: (i) overshoot < 20% I _ (ii) rise time < 0.8 sec (iii) settling time < 4 sec (a) Please mark the region of the permissible pole locations for the dynamical system such that all the three specifications are satisfied. (10%) V (b) Please choose the most “feasible” pole locations and explain the reason of your choice (10%) (a) Please describe the design procedures of a PID control system. (Please explain the structure and function of the PID terms as detailed as possible.)(15%) (b) For a PID control system, suppose that an actuator saturation is present, what will be the possible difficulty encountered? What will be the measure for solving the problem? (10%) ’ For a unity—feedback control system with an open—loop transfer function 1 (KS) T. s(s2 +s+ 1) (a) Please choose the correct statements(maybe more than one): ( 10%) (A) For a step input, the steady—state error of the closed—loop system is 0, (B) For a ramp input, the steady-state error of the closed-loop system is zero, (C) For a unity step input, the value of the steady—state response of the closed—loop system is 1, (D) Type—one system always has a finite and non—zero steady-state error for a step input, (E) Type—one system always has a finite and non—zero (steady—state error for a ramp input. (b) Please give the definition of Type—N system and give explanations on your choices. 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96&auml;&cedil;‹&aelig;Ž&sect;&aring;ˆ&para;&ccedil;&sup3;&raquo;&ccedil;&micro;&plusmn;&aelig;œŸ&au

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