A design of a strongly stable generalized predictive control using coprime factorization approach

This paper proposes a new generalized predictive control (GPC) having new design parameters. In selecting the design parameters, the controller becomes a strongly stable GPC, that is, not only the closed-loop system is stable, but also the controller itself is stable. The parameters are introduced by applying the coprime factorization approach and comparing Youla parametrization of stabilizing compensators to the controller by the standard GPC</p

An extension of generalized minimum variance control for multi-input multi-output systems using coprime factorization approach

This paper proposes a new generalized minimum-variance controller (GMVC) having new design parameters by using the coprime factorization approach for a multi-input multi-output (MIMO) case. The method is directly extended from a conventional GMVC and used to construct the controller; it needs to solve only one Diophantine equation as in the conventional method. In this paper, by using double-coprime factorization, a simple formula for the closed-loop system given by the parametrized controller is obtained; and using the formula, it is proved that the closed-loop characteristic from the reference signal to plant output is independent of the selection of the design parameters and the poles of the controller can be chosen by the design parameters without changing the closed-loop system</p

On-line actuator state monitoring of a MIMO bioprocess

In the actuator state monitoring of a time varying human multi-joint arm dynamics, typical issues are compounded by problems related to the uncertainty factor consisting of measurement noises and modeling error of the rigid body dynamics. In general, the uncertainty factor is under the case of non-Gaussian noises. In this paper, for improving the monitoring, a robust filter system based on a score function approach is modified. The score function is associated with U_D factorization algorithm. The selection of the shape parameter in the monitoring filter is discussed. Examples of the proposed method for an experiment-based human arm model show better accuracy and robustness compared with standard Kalman filter.</p

Tracking of perturbed nonlinear plants using robust right coprime factorization approach

This paper deals with a plant output tracking design problem of perturbed nonlinear plants by using a robust right coprime factorization approach. An interesting control system design scheme, which was given by G. Chen and Z. Han, uses robustness of the right coprime factorization for robust stability of the closed-loop system with perturbation. Unfortunately, robust right coprime factorization cannot easily improve tracking performance of the control system except for simple cases. In this paper, a nonlinear operator-based design method for nonlinear plant output to track a reference input is given. Examples are presented to support the theoretical analysis.</p

A state-space based design of generalized minimum variance controller equivalent to transfer-function based design

Proposes a generalized minimum variance controller (GMVC) using a state-space approach. The controller consists of a state feedback and a reduced-order observer with poles at z=0. A coprime factorization of the state-space based controller is also obtained. It is shown that the GMVC designed by state-space approach is equivalent to the GMVC given by solving Diophantine equations and a polynomial approach. The equivalence is proved by comparing coprime factorizations of the two controllers. From the results of the paper, it may be possible to apply advanced design schemes given by state-space control theory to the design of GMVC</p

Continuous-time anti-windup generalized predictive control of non-minimum phase processes with input constraints

This paper deals with a design problem of a continuous-time anti-windup generalized predictive control system using coprime factorization approach for non-minimum phase processes with input constraints. Based on the proposed design scheme, a condition for stability of the closed-loop system with input constraints and a straightforward method to improve the output response of the system with input constraints are given. Simulation results are presented to support the theoretical analysis.</p

Continuous-time anti-windup generalized predictive control of uncertain processes with input constraints and time delays

In this paper, a design problem of a continuous-time anti-windup generalized predictive control (CAGPC) system using coprime factorization approach for uncertain processes with input constraints and time delays is considered. The uncertainty of the process is considered as an uncertain time delay. To reduce the effect of the input constraint and uncertain delay, controller for strong stability of the closed-loop system is designed. As a practical appeal, the effectiveness of the proposed design scheme is confirmed by a simulated application to an industrial process with input constraint and uncertain time delay.</p