H∞ Control for Observer-Based Non-Negative Edge Consensus of Discrete-Time Networked Systems.
IEEE Transactions on Cybernetics
|July 11, 2020
Summary
This study introduces an observer-based non-negative edge-consensus algorithm for networked systems, ensuring bounded inputs and non-negative edge states even with actuator saturation using H∞ control and MARE techniques.
Area of Science:
- Control Systems Engineering
- Networked Systems Theory
- Non-negative Systems Analysis
Background:
- Observer-based control is crucial for networked systems.
- Achieving non-negative edge consensus under actuator saturation presents significant challenges.
- Existing methods may not adequately address non-negativity constraints.
Purpose of the Study:
- To develop an observer-based non-negative edge-consensus algorithm for discrete-time networked systems.
- To handle systems with or without actuator saturation.
- To guarantee bounded inputs and non-negative edge states.
Main Methods:
- Utilized H∞ control method for observer design.
- Employed modified algebraic Riccati equation (MARE)-based technique.
- Constructed observer and feedback matrices via MARE and linear matrix inequality (LMI).
Main Results:
- Proposed an algorithm using only neighboring edge outputs.
- Derived sufficient conditions for bounded inputs and non-negative edge states.
- Demonstrated the effectiveness of the MARE-based low-gain characteristic.
Conclusions:
- The developed observer-based algorithm effectively achieves non-negative edge consensus.
- The method ensures system stability and non-negativity under saturation.
- Theoretical results are validated through illustrative examples.
Related Concept Videos
01:23Linear time-invariant Systems
765
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...
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...
765
01:24BIBO stability of continuous and discrete -time systems
815
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....
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....
815
01:23Root Loci for Positive-Feedback Systems
251
The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
The construction rules for the root locus in positive feedback systems are similar to those in...
251
01:26Feedback control systems
602
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...
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...
602
01:10Control Systems
1.7K
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...
At the heart...
1.7K
01:17Open and closed-loop control systems
1.4K
Control systems are foundational elements in automation and engineering. They are broadly categorized into open-loop and closed-loop systems. These classifications hinge on the presence or absence of feedback mechanisms, significantly influencing the system's performance, complexity, and application.
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
1.4K