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Multi-input and Multi-variable systems

Multi-input and Multi-variable systems

Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
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It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
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Bus Impedance Matrix

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Calculating subtransient fault currents for three-phase faults in an N-bus power system involves using the positive-sequence network. When a three-phase short circuit occurs at a specific bus, the analysis uses the superposition method to evaluate two separate circuits.
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Vector Operations

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A steel beam supported by two identical cables provides a practical example of static equilibrium. The beam has a downward weight of 5000 N, while the two cables support it from opposite sides. Because the arrangement is symmetric, each cable makes the same angle of 60° with the horizontal beam and carries the same tension.In equilibrium, the beam remains completely at rest. This means that the total horizontal and vertical forces must both be zero. Each cable pulls along its own direction, so...

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Related Experiment Video

Updated: Jun 12, 2026

Demonstration of Spin-Multiplexed and Direction-Multiplexed All-Dielectric Visible Metaholograms

Demonstration of Spin-Multiplexed and Direction-Multiplexed All-Dielectric Visible Metaholograms

Published on: September 25, 2020

Integrated electrooptic Bragg modulator modules for matrix-vector and matrix-matrix multiplications.

P Le, D Y Zang, C S Tsai

|June 10, 2010

Summary

High-performance microlenses fabricated using titanium-indiffusion and proton-exchange techniques enable integrated electrooptic Bragg modulator modules for optical computing and signal processing.

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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

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Last Updated: Jun 12, 2026

Demonstration of Spin-Multiplexed and Direction-Multiplexed All-Dielectric Visible Metaholograms

Demonstration of Spin-Multiplexed and Direction-Multiplexed All-Dielectric Visible Metaholograms

Published on: September 25, 2020

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Area of Science:

Optoelectronics
Materials Science
Integrated Optics

Background:

Lithium niobate (LiNbO3) channel-planar composite waveguides are crucial for integrated optical devices.
Microlenses and microlens arrays enhance the performance of optical systems.

Purpose of the Study:

To fabricate high-performance microlenses and microlens arrays on LiNbO3 substrates.
To develop integrated electrooptic Bragg modulator modules for optical computing and signal processing.

Main Methods:

Titanium-indiffusion and proton-exchange techniques were employed for microlens fabrication.
Fabrication was performed on LiNbO3 channel-planar composite waveguides.

Main Results:

Successfully fabricated high-performance microlenses and microlens arrays.
Developed integrated electrooptic Bragg modulator modules.
Demonstrated matrix-vector and matrix-matrix multiplications using these modules.

Conclusions:

Integrated optic device modules facilitate multichannel optical computing.
These modules support advanced communication and RF signal processing systems.
Exploits the high channel capacities of diode lasers, optical fibers, and photodetector arrays.