OPTIMAL ENERGY-EFFICIENT CONTROL OF DISTRIBUTED PARAMETER SYSTEMS

2021 ◽  
Vol 57 (4) ◽  
pp. 17-28
Author(s):  
E. Ya. Rapoport ◽  
Yu. E. Pleshivtseva
Keyword(s):  
Energy Efficient ◽  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
Optimal Energy ◽  
Efficient Control

scholarly journals Energy-Efficient Path-Following Control System of Automated Guided Vehicles

2021 ◽  
Author(s):  
Illia Holovatenko ◽  
Andrii Pysarenko
Keyword(s):  
Energy Consumption ◽  
Energy Efficient ◽  
Path Following ◽  
Automated Guided Vehicles ◽  
Main Task ◽  
Tracking Systems ◽  
Optimal Energy ◽  
Path Following Control ◽  
Efficient Control ◽  
Self Driving Cars

AbstractThe theoretical bases of optimal tracking systems synthesis are considered. The main purpose of such systems is to keep the error between the actual and desired outputs of the system at a low level with minimal energy consumption. This concept is appealing to the fact that the vast majority of control systems solve problems without regard to the expediency of using the internal energy resources of the system itself. The main task of an automated guided vehicle is to move from one point to another. An algorithm for forming the desired trajectory between two points, specified on the map, was developed. With optimal energy consumption, this approach will make a practical contribution to the field of automation, self-driving cars, etc. The concept of optimal, energy-efficient control has been implemented. Several experiments with different regulators have been carried out to verify the concept of the tracking systems and to convince the significant advantage of the optimality among the other systems.

Analysis of the error in an iterative algorithm for asymptotic regulation of linear distributed parameter control systems

2019 ◽  
Vol 53 (5) ◽  
pp. 1577-1606
Author(s):  
Eugenio Aulisa ◽  
David S. Gilliam ◽  
Thanuka W. Pathiranage
Keyword(s):  
Iterative Algorithm ◽  
Energy Efficient ◽  
Iterative Scheme ◽  
Active Noise Control ◽  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
Energy Efficient Buildings ◽  
Active Noise ◽  
Wide Range ◽  
And Control

Applications of regulator theory are ubiquitous in control theory, encompassing almost all areas of systems and control engineering. Examples include active noise suppression [Banks et al., Decision and Control, Active Noise Control: Piezoceramic Actuators in Fluid/structure Interaction Models, IEEE, Los Alamitos, CA (1991) 2328–2333], design and control of energy efficient buildings [Borggaard et al., Control, Estimation and Optimization of Energy Efficient Buildings. Riverfront, St. Louis, MO (2009) 837–841.] and control of heat exchangers [Aulisa et al., IFAC-PapersOnLine 49 (2016) 104–109.]. Numerous other examples can be found in [Aulisa and Gilliam, A Practical Guide to Geometric Regulation for Distributed Parameter Systems. Chapman and Hall/CRC, Boca Raton (2015).]. In the geometric approach to asymptotic regulation the main object of interest is a pair of operator equations called the regulator equations, whose solution provides a control solving the tracking/disturbance rejection regulation problem. In this paper we present an iterative algorithm, called the β-iteration method, which is based on the geometric methodology, and delivers accurate control laws for approximate asymptotic regulation. This iterative scheme has been successfully applied to a wide range of linear and nonlinear multi-physics examples and in practice only one or two iterations are usually required to deliver sufficiently accurate results. One drawback to these research efforts is that no proof was given of the convergence of the method. This work contains a detailed analysis of the error in the iterative scheme for a large class of linear distributed parameter systems. In particular we show that the iterative errors converge at a geometric rate. We demonstrate our estimates on three control problems in multi-physics applications.

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