H∞ Control Problem of Discrete 2-D Switched Mixed Delayed Systems Using the Improved Lyapunov-Krasovskii Functional

Duan, Zhaoxia; Ghous, Imran; Xia, Yuanqing; Akhtar, Jahanzeb

doi:10.1007/s12555-019-0331-y

Cited by 5 publications

(1 citation statement)

References 33 publications

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“…Switched systems have wide range of practical engineering application, such as aerospace field, chemical, biology, economics, and so on. The research of switched systems mainly focused on the analysis of dynamic behaviors, such as stability [17], controllability [7] and observability [6], and synthesis problems, such as stabilization [8], H ∞ control [9,11], and so on. Recently, the optimal control of switched systems has attracted the attention of many researchers [2,14,20,31].…”

Section: Introductionmentioning

confidence: 99%

Discounted-cost Linear Quadratic Regulation of Switched Linear Systems

Xiang

2021

Preprint

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In this paper, we will investigate the design of discounted-cost linear quadratic regulator for switched linear systems. The distinguishing feature of the proposed method is that the designed discounted-cost linear quadratic regulator will achieve not only the desired optimization index, but also the exponentially convergent of the state trajectory of the closed-loop switched linear systems. First, we adopt the embedding transformation to transform the studied problem into a quadratic-programming problem. Then, the bang-bang-type solution of the embedded optimal control problem on a finite time horizon is the optimal solution to the original problems. The bang-bang-type solutions of the embedded optimal control problem is to be shown the optimization solution of the studied problem. Then, the computable sufficient conditions on discounted-cost linear quadratic regulator are proposed for finite-time and infinite-time horizon case, respectively. Finally, an example is provided to demonstrate the effectiveness of the proposed method.

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