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Linear time-invariant Systems01:23

Linear time-invariant Systems

595
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
595
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

220
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
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Control Systems01:10

Control Systems

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Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
At the heart...
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Feedback control systems01:26

Feedback control systems

541
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
541
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

660
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
660
Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

234
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.
In the absence of...
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Related Experiment Video

Updated: Nov 8, 2025

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
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Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

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Simple internal model control based modified Smith predictor for integrating time delayed processes with real-time

Somak Karan1, Chanchal Dey2, Surojit Mukherjee3

  • 1Department of Applied Electronics and Instrumentation Engineering, Haldia Institute of Technology, Haldia, West Bengal, India.

ISA Transactions
|April 25, 2021
PubMed
Summary
This summary is machine-generated.

A new Internal Model Control (IMC) tuned modified Smith predictor effectively controls integrating time delayed processes (IPTD). This method simplifies tuning and improves performance for processes like distillation columns and tank level control.

Keywords:
Closed loop time constantIMC controllerIntegrating time delayed processModified Smith predictorReal time level controlTime delay

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Area of Science:

  • Process Control
  • Chemical Engineering
  • Automation Systems

Background:

  • Integrating time delayed processes (IPTD) exhibit non-self-regulating behavior, common in industrial applications like distillation columns and tank level control.
  • Existing modified Smith predictor (MSP) designs often involve complex tuning procedures for IPTD systems.
  • Effective control of IPTD is crucial for maintaining process stability and efficiency.

Purpose of the Study:

  • To develop and evaluate a simplified Internal Model Control (IMC) tuned modified Smith predictor (MSP) for integrating time delayed processes (IPTD).
  • To mitigate the tuning complexity associated with multi-controller structures for IPTD.
  • To demonstrate improved closed-loop performance, including setpoint tracking and load disturbance rejection.

Main Methods:

  • A modified Smith predictor structure was designed and tuned using Internal Model Control (IMC) principles.
  • The controller incorporates a single tuning parameter, the closed-loop time constant, derived from the IMC design.
  • The proposed scheme was evaluated against recent MSP techniques using performance indices and stability margins.

Main Results:

  • The proposed IMC-tuned MSP achieved zero overshoot during setpoint tracking, significantly enhancing performance.
  • Smooth and reasonably fast load recovery was demonstrated, indicating robust disturbance rejection capabilities.
  • Real-time evaluation on a level control loop, an IPTD process, validated the design's practical effectiveness.

Conclusions:

  • The IMC-tuned simple modified Smith predictor offers a simplified yet effective control strategy for IPTD.
  • The proposed method provides superior performance in terms of setpoint tracking and load disturbance rejection compared to existing techniques.
  • This approach offers a practical and efficient solution for controlling challenging industrial processes like IPTD.