Define the term 'transfer function'. Two transfer functions G(s)G(s)G(s) and H(s)H(s)H(s) are connected in a feedback control system where G(s)G(s)G(s) in feedforward path and H(s)H(s)H(s) in feedback path. Find out the equivalent transfer function.
Simplify the block diagram shown in Fig.2(b). Then obtain the closed-loop transfer function C(s)/R(s)C(s)/R(s)C(s)/R(s).
What do you mean by hydraulic inertance? Show that hydraulic inertance varies proportionally with length of hydraulic block.
Define the building blocks of a hydraulic system. Show that hydraulic capacitance is proportional to cross-sectional area of the capacitor.
Draw a typical unit step response of 2nd order system with necessary terminology.
A servo system is shown in Fig. 4(c). Determine the values of gain kkk and velocity feedback constant khk_hkh so that the maximum overshoot in the unit-step response is 0.2 and the peak time is 1 sec. with these values of kkk and khk_hkh obtain in rise time and settling time. Assume that J=1 kg-m2J = 1 \text{ kg-m}^2J=1 kg-m2 and B=1 N-m/rad/secB = 1 \text{ N-m/rad/sec}B=1 N-m/rad/sec.
Define the building blocks of a fluid system used to formulate the mathematical modeling.
Derive the relationship between the output, the potential difference across the resistor, and the input for circuit shown in Figure 6(b).
Based on the Figure 6(c), develop equations describing how the temperatures T1T_1T1 and T2T_2T2 will vary with time.
What are the basic building blocks for mechanical and electrical systems? Find the analogies between electrical and mechanical system.
What is pneumatic capacitance and pneumatic inertance? Show that pneumatic inertance is inversely proportional to cross-sectional area of a pipe when its length is constant.
Why linearization is necessary? Linearize the nonlinear system z=x2+8xy+3y2z = x^2 + 8xy + 3y^2z=x2+8xy+3y2 in the region defined by 2≤x≤4,10≤y≤122 \le x \le 4, 10 \le y \le 122≤x≤4,10≤y≤12.