Analysis of multivariable control strategies on a heat conduction system

1982 ◽  
Vol 36 (1) ◽  
pp. 1-24 ◽  
Author(s):  
ROHIT KHANNA ◽  
JOHN H. SEINFELD
Author(s):  
F. Bonetti ◽  
C. McInnes

A low-order 3-box energy balance model for the climate system is employed with a multivariable control scheme for the evaluation of new robust and adaptive climate engineering strategies using solar radiation management. The climate engineering measures are deployed in three boxes thus representing northern, southern and central bands. It is shown that, through heat transport between the boxes, it is possible to effect a degree of latitudinal control through the reduction of insolation. The approach employed consists of a closed-loop system with an adaptive controller, where the required control intervention is estimated under the RCP 4.5 radiative scenario. Through the online estimation of the controller parameters, adaptive control can overcome key issues related to uncertainties of the climate model, the external radiative forcing and the dynamics of the actuator used. In fact, the use of adaptive control offers a robust means of dealing with unforeseeable abrupt perturbations, as well as the parametrization of the model considered, to counteract the RCP 4.5 scenario, while still providing bounds on stability and control performance. Moreover, applying multivariable control theory also allows the formal controllability and observability of the system to be investigated in order to identify all feasible control strategies.


2009 ◽  
Vol 54 (6) ◽  
pp. 1305-1310 ◽  
Author(s):  
Meng-Bi Cheng ◽  
V. Radisavljevic ◽  
Chung-Cheng Chang ◽  
Chia-Fu Lin ◽  
Wu-Chung Su

1997 ◽  
Vol 07 (01) ◽  
pp. 125-138 ◽  
Author(s):  
L. E. Payne ◽  
J. C. Song

In this paper we investigate continuous dependence on the initial-time geometry for solutions of a generalized heat conduction system. Assuming the initial data to be measured on a surface t = εF(x), for |F| < 1, and assigned at t = 0, we examine the effects of this error in the initial-time geometry on the solution both forward and backward in time.


Author(s):  
Henrik C. Pedersen ◽  
Torben O. Andersen ◽  
Tobias Skouboe ◽  
Morten S. Jacobsen

In the later years, there has been an increased focus on new valve types, which yield the possibility to do Separate Meter-In Separate Meter-Out (SMISMO) control. This includes both digital valves, but proportional valves with separate metering spools and build in pressure sensors are also emerging. The possibility to independently control the meter-in and meter-out side not only increase the functionality of the system, but also opens up for better performance and/or lowered energy consumption. The focus of the current paper is therefore on investigation and comparison of what may be obtained using multivariable control strategies for SMISMO control of a single axis hydraulic system with a differential cylinder, when not taking other measures to improve performance. The paper first presents an experimentally verified model of the system considered, from which a linear model is derived. Based on the model, the control strategies are discussed and several H∞ controllers are designed, for which both simulation and experimental results are presented. The controllers are evaluated with regard to performance and robustness and compared to a simple SISO control. Based on the findings, the possibilities and limitations of the approach and the different controllers are outlined and discussed.


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