High-gain Error-actuated Controllers Research Articles

Design of Decentralized High-Gain Error-Actuated Controllers for Large-Scale Systems

In this article a high-gain decentralized controller is designed for a large-scale system. The effects of the interactions between the subsystems are considered as uncertainty for the large-scale system. A bound on the high-gain factor is computed to nullify the effects of the interactions and also to ensure the overall closed-loop stability. In order to avoid saturation, the anti-windup integrator method is used in designing high-gain controller. Due to high-gain feedback, the closed-loop system is robust with respect to output disturbances and uncertainties.

Design of tracking systems incorporating inner-loop compensators and high-gain error-actuated controllers for Lur'e plants with multiple non-linearities

Many practically important systems can be modelled only as Lur'e plants with multiple non-linearities whose linear components have transfer function matrices with singular first Markov parameters. The fundamental concept of absolute tracking is accordingly extended so as to embrace such Lur'e plants by the introduction of appropriate inner-loop compensators in conjunction with high-gain error-actuated analogue controllers. These general results are illustrated by designing a high-gain analogue controller and associated inner-loop compensator for the longitudinal dynamics of an aircraft with three non-linear actuators.

High-Gain Error-Actuated Controllers for Linear Multivariable Plants with Explicit Actuator Dynamics

Simple closed-form formulas are presented for the transfer function matrices of controllers and associated phase-lead compensators which greatly facilitate the design of high-performance high-gain error-actuated controllers for a practically important class of linear multivariable plants with explicit actuator dynamics.

High-Gain Tracking Systems Incorporating Lur'e Plants with Multiple Switching Nonlinearities

The class of Lur'e plants with multiple switching nonlinearities which are amenable to high-gain error-actuated control is characterised in terms of the properties of the transfer function matrices of the linear components of such plants. It is shown that this characterisation greatly facilitates the synthesis of closed-loop control systems incorporating such Lur'e plants which exhibit state-bounded absolutely stable tracking. These general results are illustrated by synthesizing a high-gain tracking system incorporating a Lur'e plant with two switching nonlinearities.

High-gain tracking systems incorporating Lur'e plants with multiple non-linearities

The class of Lur'e plants with multiple non-linearities which are amenably to high-gain error-actuated control is characterized in terms of the properties of the transfer function matrices of the linear components of such plants. It is shown that this characterization greatly facilitates the synthesis of closed-loop control systems incorporating such Lur'e plants which exhibit state-bounded absolutely stable tracking. These general results are illustrated by synthesizing a high-gain tracking system incorporating a Lur'e plant with two non-linearities.

Singular perturbation methods in the design of tracking systems incorporating high-gain error-actuated controllers

Singular perturbation methods are used to exhibit the asymptotic structure of the transfer function matrices of continuous-time tracking systems incorporating linear multivariable plants which are amenable to high-gain error-actuated analogue control. It is shown that these results greatly facilitate the determination of controller matrices which ensure that the closed-loop behaviour of such continuous-time tracking systems becomes increasingly ‘ tight ’ and non-interacting as the gain parameter is increased. These general results are illustrated by designing a high-gain error-actuated analogue controller for a chemical reactor.

Singular perturbation methods in the design of tracking systems incorporating inner-loop compensators and high-gain error-actuated controllers

Singular perturbation methods in the design of tracking systems incorporating inner-loop compensators and high-gain error-actuated controllers

Asymptotic properties of linear multivariable continuous-time tracking systems incorporating high-gain error-actuated controllers

In this paper, the asymptotic properties of tracking systems incorporating linear multivariable plants which are amenable to high-gain error-actuated control (Porter and Bradshaw 1979) are characterized in terms of the eigenstructure of the closed-loop plant matrices. It is shown that the closed-loop eigenstructure is such that the tracking behaviour of systems incorporating high-gain error-actuated controllers designed in accordance with the synthesis technique of Porter and Bradshaw (1979) is increasingly dominated by the modes associated with the first-order infinito characteristic roots as the gain is increased and that increasingly ‘ tight ’ control is therefore achieved. These theoretical results are illustrated in the case of a closed-loop system incorporating a third-order plant and a high-gain error-actuated controller by the presentation of the computed closed-loop eigenstructure and of the results of computer simulation studies.

Design of linear multivariable continuous-time tracking systems incorporating high-gain error-actuated controllers

Design of linear multivariable continuous-time tracking systems incorporating high-gain error-actuated controllers

Design of linear multivariable continuous-time tracking systems incorporating error-actuated controllers

In this paper, the class of linear multivariable continuous-time plants which are amenable to high-gain error-actuated control is characterized in terms of the relatively prime polynomial matrix factors of the transfer function matrices of such plants. It is shown that this characterization greatly facilitates the design of high-gain error-actuated controllers, and the resulting synthesis technique is illustrated by designing such a controller for a third-order plant with two inputs and two outputs.