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Lecture

Networked Control Systems: Stability and Analysis

In course

ME-427: Networked control systems

This course offers an introduction to control systems using communication networks for interfacing sensors, actuators, controllers, and processes. Challenges due to network non-idealities and opportunities offered by communication will be analyzed. ...

Description

This lecture covers the analysis of networked control systems (NCS) focusing on stability in the presence of packet loss. The instructor discusses the discrete-time NCS model, stability conditions, and mean-square stability analysis. The lecture also delves into the impact of stochastic dropouts on NCS stability, providing insights on LMIs, Schur stability, and robust stability. Various examples and simulations are used to illustrate the concepts discussed.

Instructor

Giancarlo Ferrari Trecate

Official source

Related concepts (31)

Industrial control system

An industrial control system (ICS) is an electronic control system and associated instrumentation used for industrial process control. Control systems can range in size from a few modular panel-mounted controllers to large interconnected and interactive distributed control systems (DCSs) with many thousands of field connections. Control systems receive data from remote sensors measuring process variables (PVs), compare the collected data with desired setpoints (SPs), and derive command functions that are used to control a process through the final control elements (FCEs), such as control valves.

Control system

A control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops. It can range from a single home heating controller using a thermostat controlling a domestic boiler to large industrial control systems which are used for controlling processes or machines. The control systems are designed via control engineering process. For continuously modulated control, a feedback controller is used to automatically control a process or operation.

Distributed control system

A distributed control system (DCS) is a computerised control system for a process or plant usually with many control loops, in which autonomous controllers are distributed throughout the system, but there is no central operator supervisory control. This is in contrast to systems that use centralized controllers; either discrete controllers located at a central control room or within a central computer. The DCS concept increases reliability and reduces installation costs by localising control functions near the process plant, with remote monitoring and supervision.

Numerical stability

In the mathematical subfield of numerical analysis, numerical stability is a generally desirable property of numerical algorithms. The precise definition of stability depends on the context. One is numerical linear algebra and the other is algorithms for solving ordinary and partial differential equations by discrete approximation. In numerical linear algebra, the principal concern is instabilities caused by proximity to singularities of various kinds, such as very small or nearly colliding eigenvalues.

Lyapunov stability

Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point of equilibrium. This may be discussed by the theory of Aleksandr Lyapunov. In simple terms, if the solutions that start out near an equilibrium point stay near forever, then is Lyapunov stable. More strongly, if is Lyapunov stable and all solutions that start out near converge to , then is said to be asymptotically stable (see asymptotic analysis).

Related lectures (23)

Networked Control Systems: Stability and Dropout Analysis

Explores the stability of Networked Control Systems under deterministic packet drops and the estimation of the maximal drop rate.

Networked Control Systems: Dropout and Stability Analysis

Explores the impact of packet dropouts on networked control system stability and analyzes methods to estimate maximal admissible drop rates.

Networked Control Systems: Protocol-induced Delays and Time-varying Sampling

Explores protocol-induced delays, time-varying sampling, wireless control networks, and system stability.

Sampling Theorem and Control Systems

Explores the Sampling Theorem, digital control, signal reconstruction, and anti-aliasing filters.

Compensation of Network-Induced Delays in Control Systems