Cooperative optimal preview tracking for linear descriptor multi-agent systems

Abstract

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Output feedback preview tracking control for time‐varying polytopic descriptor systems

“…Remark It should be pointed out that the classical difference method in the works of Tsuchiya and Egami and Katayama and Hirono is not applicable to this paper due to time‐varying uncertainties. In addition, as compared with the results in other works, our proposed results not only consider robustness against model uncertainty. Moreover, the results in the work of Wu et al for uncertain descriptor system are very conservative because the uncertain matrices are constant.…”

“…Some achievements have been made in the field of preview control for descriptor systems, eg, the problems of linear time‐invariant descriptor systems have been studied in other works . It is worth pointing out that these controller designs attempt to find a positive definite matrix to satisfy Riccati equations based on optimal regulation theory.…”

“…Some achievements have been made in the field of preview control for descriptor systems, eg, the problems of linear time-invariant descriptor systems have been studied in other works. [33][34][35][36] It is worth pointing out that these controller designs attempt to find a positive definite matrix to satisfy Riccati equations based on optimal regulation theory. Wu et al 37 considered the robust preview controller design for uncertain discrete singular systems, under the assumption that the uncertainties are independent of time variables.…”

Output feedback preview control for polytopic uncertain discrete‐time systems with time‐varying delay

“…In preview control, most control methods are based on linear quadratic control theory . These methods, however, do not consider the unknown disturbances effect on the system when designing a preview controller.…”

“…The monograph of Tsuchiya and Egamis 23 summarized the chief research results at that time. Subsequently, the study of preview control theory and its application have also continued to draw research interest (see other works [24][25][26][27][28] ).…”