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One of the beneficial applications of an automotive control system is the active control of the suspension system. One feedback control system uses a shock absorber consisting of a cylinder filled with a compressible fluid that provides both spring and damping forces. The cylinder has a plunger activated by a gear motor, a displacement-measuring sensor, and a piston. Spring force is generated by piston displacement, which compresses the fluid. During piston displacement, the pressure imbalance across the piston is used to control damping. The plunger varies the internal volume of the cylinder. This system is shown in Fig.la. The system can be represented by the block diagram shown in Fig. 1b, where: Control output Plunger Gear motor Cylinder Controller Piston Liquid Sensor output Damping orifice Piston travel Piston rod Fig.1a: Shock absorber

One of the beneficial applications of an automotive control system is the active control of the suspension system. One feedback control system uses a shock absorber consisting of a cylinder filled with a compressible fluid that provides both spring and damping forces. The cylinder has a plunger activated by a gear motor, a displacement-measuring sensor, and a piston. Spring force is generated by piston displacement, which compresses the fluid. During piston displacement, the pressure imbalance across the piston is used to control damping. The plunger varies the internal volume of the cylinder. This system is shown in Fig.la. The system can be represented by the block diagram shown in Fig. 1b, where: Control output Plunger Gear motor Cylinder Controller Piston Liquid Sensor output Damping orifice Piston travel Piston rod Fig.1a: Shock absorber

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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One of the beneficial applications of an automotive control system is the active control of the suspension system. One feedback control system uses a shock absorber consisting of a cylinder filled with a compressible fluid that provides both spring and damping forces. The cylinder has a plunger activated by a gear motor, a displacement-measuring sensor, and a piston. Spring force is generated by piston displacement, which compresses the fluid. During piston displacement, the pressure imbalance across the piston is used to control damping. The plunger varies the internal volume of the cylinder. This system is shown in Fig.la. The system can be represented by the block diagram shown in Fig. 1b, where: Control output Plunger Gear motor Cylinder Controller Piston Liquid Sensor output Damping orifice Piston travel Piston rod Fig.la: Shock absorber
Transcribed Image Text:One of the beneficial applications of an automotive control system is the active control of the suspension system. One feedback control system uses a shock absorber consisting of a cylinder filled with a compressible fluid that provides both spring and damping forces. The cylinder has a plunger activated by a gear motor, a displacement-measuring sensor, and a piston. Spring force is generated by piston displacement, which compresses the fluid. During piston displacement, the pressure imbalance across the piston is used to control damping. The plunger varies the internal volume of the cylinder. This system is shown in Fig.la. The system can be represented by the block diagram shown in Fig. 1b, where: Control output Plunger Gear motor Cylinder Controller Piston Liquid Sensor output Damping orifice Piston travel Piston rod Fig.la: Shock absorber
Controller V(s) V(s) s+1 Y(S) R(s) s+6 S- 2 Position Fig.1b: Block diagram of the shock absorber a. Find the transfer matrix of the system. Then draw the block diagram of the state-space system in an observable canonical realization form. b. Obtain the solution of homogenous and nonhomogeneous state equations of the system for a unit ramp input.
Transcribed Image Text:Controller V(s) V(s) s+1 Y(S) R(s) s+6 S- 2 Position Fig.1b: Block diagram of the shock absorber a. Find the transfer matrix of the system. Then draw the block diagram of the state-space system in an observable canonical realization form. b. Obtain the solution of homogenous and nonhomogeneous state equations of the system for a unit ramp input.
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