What are the system responses x1(t) and x2(t) without control?

 

Consider the two-degree-of-freedom quarter-car model shown in Figure 5.34, in which the force f, applied between the car body and the wheel–tire–axle assembly, is controlled by feedback and represents the active components of the suspension system. Assume that

= 20568x− 30493x2 −12781+ 31892. Build a block diagram of the feedback control system, where the quarter-car model is constructed using Simscape blocks and the controller is constructed using Simulink blocks. Find the displacement responses x1(t) and x2(t) if initially x= –0.05 m and x2 = –0.05 m. Ignore the displacement input z(t). What are the system responses x1(t) and x2(t) without control?

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erive the differential equations in terms of the liquid heights h1 and h2.

  Figure 7.18 shows a liquid-level system in which two tanks have cross-sectional areas A1 and A2, respectively. The volume flow rate into tank 1 is qi. A pump is connected to the bottom….

Derive the differential equation relating the liquid height h and the volume flow rate qi at the inlet.

  Consider the single-tank liquid-level system shown in Figure 7.19, where the volume flow rate into the tank through a pipe is qi. The liquid leaves the tank through an orifice….

Derive the differential equations in terms of the liquid heights h1 and h2.

Figure 7.20 shows a hydraulic system of two interconnected tanks that have the same cross-sectional area of A. A pump is connected to tank 1. Assume that the relationship between the….