HIGH GAIN OUTPUT FEEDBACKS FOR SYSTEMS WITH DISTRIBUTED PARAMETERS

1999 ◽  
Vol 09 (06) ◽  
pp. 933-940 ◽  
Author(s):  
S. NIKITIN ◽  
M. NIKITINA

This paper deals with the high gain feedback stabilization of single input–single output (SISO) minimum-phase systems with distributed parameters. Sufficient conditions for an infinite-dimensional SISO system to be stabilized by a high gain output feedback are obtained. The results of this paper are useful for designing and tuning high gain output feedbacks in numerous industrial control applications.

2018 ◽  
Vol 140 (8) ◽  
Author(s):  
Francis Assadian ◽  
Alex K. Beckerman ◽  
Jose Velazquez Alcantar

Youla parametrization is a well-established technique in deriving single-input single-output (SISO) and, to a lesser extent, multiple-input multiple-ouput (MIMO) controllers (Youla, D., Bongiorno, J. J., Jr., and Lu, C., 1974, “Singleloop Feedback-Stabilization of Linear Multivariable Dynamical Plants,” Automatica, 10(2), pp. 159–173). However, the utility of this methodology in estimation design, specifically in the framework of controller output observer (COO) (Ozkan, B., Margolis, D., and Pengov, M., 2008, “The Controller Output Observer: Estimation of Vehicle Tire Cornering and Normal Forces,” ASME J. Dyn. Syst., Meas., Control, 130(6), p. 061002), is not established. The fundamental question to be answered is as follows: is it possible to design a deterministic estimation technique using Youla paramertization with the same robust performance, or better, than well-established stochastic estimation techniques such as Kalman filtering? To prove this point, at this stage, a comparative analysis between Youla parametrization in estimation and Kalman filtering is performed through simulations only. In this paper, we provide an overview of Youla parametrization for both control and estimation design. We develop a deterministic SISO and MIMO Youla estimation technique in the framework of COO, and we investigate the utility of this method for two applications in the automotive domain.


Author(s):  
KACZOREK TADEUSZ

The realization problem for positive, continuous-time linear single-input, single-output systems with delays is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for computation of positive minimal realizations is presented and illustrated by an example.


2020 ◽  
Vol 26 (3) ◽  
pp. 69-78
Author(s):  
Muhammad Arif ◽  
Mohsin Shahzad ◽  
Jawad Saleem ◽  
Waheed Malik ◽  
Abdul Majid

A high gain three port converter with a unidirectional port for photovoltaic (PV) side and two bidirectional ports one each for the battery and the DC bus for PV integration to DC microgrid is presented. High gain is achieved by a coupled inductor with switched capacitor, whereas single stage conversion is used between the ports to achieve high efficiency. The proposed converter is modelled in PLECS/MATLAB and the simulated results for various operational modes are validated using a 500 W prototype. For main operating mode, i.e., single input single output (SISO), the efficiency is calculated to be as high as 96 %. Similarly, owing to the reduced number of components, the losses are reduced considerably for different operation modes.


2005 ◽  
Vol 2005 (4) ◽  
pp. 455-463 ◽  
Author(s):  
Tadeusz Kaczorek

The realization problem for positive single-input single-output discrete-time systems with one time delay is formulated and solved. Necessary and sufficient conditions for the solvability of the realization problem are established. A procedure for computation of a minimal positive realization of a proper rational function is presented and illustrated by an example.


2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Begoña Cantó ◽  
Rafael Cantó ◽  
Snezhana Kostova

The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered. A method based on a Brauer’s theorem is proposed for solving the problem. It allows us to modify some eigenvalues of the system without changing the rest of them. The problem is studied for the single-input single-output (SISO) and for multi-input multioutput (MIMO) cases and sufficient conditions for stability and positivity of the closed-loop system are proved. The results are illustrated by numerical examples and the proposed method is used in stochastic systems.


Sign in / Sign up

Export Citation Format

Share Document