<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>A modification of digital controller algorithms, based on the introduction of a virtual reference value, which never exceeds active constraints in the actuator output is presented and investigated for some algorithms used in single-loop control systems. This idea, derived from virtual modification of a control error, can be used in digital control systems subjected to both magnitude and rate constraints. The modification is introduced in the form of on-line adaptation to the control task. Hence the design of optimal (in a specified sense) digital controller parameters can be separated from actuator constraints. The adaptation of the control algorithm (to actuator constraints) is performed by the transformation of the control error and is equivalent to the introduction of a new, virtual reference value for the control system. An application of this approach is presented through examples of three digital control algorithms: the PID algorithm, the dead-beat controller and the state space controller. In all cases, clear advantages of transients are observed, which yields some general conclusions to the problem of processing actuator constraints in control.</p></abstract>

A modification of digital controller algorithms, based on the introduction of a virtual reference value, which never exceeds active constraints in the actuator output is presented and investigated for some algorithms used in single-loop control systems. This idea, derived from virtual modification of a control error, can be used in digital control systems subjected to both magnitude and rate constraints. The modification is introduced in the form of on-line adaptation to the control task. Hence the design of optimal (in a specified sense) digital controller parameters can be separated from actuator constraints. The adaptation of the control algorithm (to actuator constraints) is performed by the transformation of the control error and is equivalent to the introduction of a new, virtual reference value for the control system. An application of this approach is presented through examples of three digital control algorithms: the PID algorithm, the dead-beat controller and the state space controller. In all cases, clear advantages of transients are observed, which yields some general conclusions to the problem of processing actuator constraints in control.

Control Error Dynamic Modification as an Efficient Tool for Reduction of Effects Introduced by Actuator Constraints

Institute of Automatic Control and Robotics, Warsaw University of Technology, ul. Św. A. Boboli 8, 02-525 Warsaw, Poland

International Journal of Applied Mathematics and Computer Science

A modification of digital controller algorithms, based on the introduction of a virtual reference value, which never exceeds active constraints in the actuator...

Control Error Dynamic Modification as an Efficient Tool for Reduction of Effects Introduced by Actuator Constraints

Published Online: Jul 08, 2009

Page range: 271 - 279

DOI: https://doi.org/10.2478/v10006-009-0023-5

Keywords
actuator constraints, digital dead-beat control, PID control, rate constraints, state space control, saturations at control, wind-up

This content is open access.

Control Error Dynamic Modification as an Efficient Tool for Reduction of Effects Introduced by Actuator Constraints

Published Online: Jul 08, 2009

Page range: 271 - 279

DOI: https://doi.org/10.2478/v10006-009-0023-5

Keywordsactuator constraints, digital dead-beat control, PID control, rate constraints, state space control, saturations at control, wind-up

This content is open access.

Keywords
actuator constraints, digital dead-beat control, PID control, rate constraints, state space control, saturations at control, wind-up