Abstract
Local priority hysteresis switching logic is associated with adaptive control convergence when using an infinite set of candidate parameters via constraints added to the switching scheme. In this paper, we reevaluate these constraints on the basis of the persistent excitation assumption. This makes room for the adaptive control to converge to its optimum, resulting in improved performance. Unconstrained local priority hysteresis switching logic is investigated, and global convergence conditions are proposed. This paper expands on the preliminary version of a conference paper [1] by adding numerical simulation examples to validate both the application and the advantage of the theory.
Highlights
One of the earliest definitions of the term “adaption” was introduced by Drenick and Shahbender [2] in 1957:“Adaptive systems in control theory are control systems that monitor their own performance and adjust their parameters in the direction of better performance.”Adaptive control ensures the satisfactory performance of a closed-loop system by switching among a set of candidate controllers K when no single controller k can achieve the targeted performance objectives.Two techniques have generally been used to achieve this goal: unfalsified adaptive control [3] [4] [5] and multiple model adaptive control [6] [7] [8]
Local priority hysteresis switching logic is associated with adaptive control convergence when using an infinite set of candidate parameters via constraints added to the switching scheme
This paper contributes to the body of knowledge by easing the local priority hysteresis switching logic constraints in switching schemes based on the persistent excitation assumption
Summary
One of the earliest definitions of the term “adaption” was introduced by Drenick and Shahbender [2] in 1957:. One technique involves the hysteresis switching algorithm reported by Morse and Middleton in [13] [14] Morse and his co-workers demonstrated adaptive control convergence for a finite controller set. Hespanha et al [9] [10] and Stefanovic et al [11] proved adaptive control convergence for an infinite controller set These studies contributed to ensuring adaptive control switching system convergence by adding constraints to the switching scheme that required strictly positive hysteresis and local priority constants. This paper contributes to the body of knowledge by easing the local priority hysteresis switching logic constraints in switching schemes based on the persistent excitation assumption Easing these constraints is necessary to achieve the objective of high performance.
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