Towards a new minimum-energy criterion for nonsquare LTI state-space perfect control systems

A study on a new criterion for minimum-energy perfect control in the state-space framework

“…which guarantees that the output error e(k) disappears right after delay deriving from the extended system description based on equation (1). Of course, our new considerations can be extended to the case covering the systems with time delay d .…”

“…As a remedy for disadvantage revealing in the computational effort of the optimization-based perfect control energy tasks, a set of, not presented here, analytical indices were originally proposed at the IEEE IC CoDIT this year and included by Hunek and Krok. 1 The most efficient norm has turned out to be the following one…”

“…It was presented at the IEEE IC CoDIT’18 that some criteria can be applied into the perfect control strategy, which make it more robust in the context of energy consumption. 1,20 In this article, an extension of the issues shown by Hunek and Krok 1 is given, especially a new energy-based norm is proposed. Confirmed by a number of simulation tests, a new performance index indicates more fruitful properties than the other authors’ criterion solutions.…”

“…The issue of minimum-energy control in different control strategies is a complex problem and is attractive for a whole range of researchers dealing with both theoretical and practical problems. [1][2][3][4][5][6][7][8] Modern industry control systems impose restrictions on the control signals due to the existing technological limitations. [9][10][11] In order to meet the requirements of robustness, a number of techniques are applied in the engineering tasks.…”

Perfect Control for Continuous-Time LTI State-Space Systems: The Nonzero Reference Case Study

“…M odern control algorithms often entail a numerical complexity and usually are connected with mathematical challenges such as nonuniqueness or inverse problem [1]- [4]. It should be emphasized, that both of these peculiarities have strongly been addressed to the inverse model control framework [5]- [7].…”