Static output feedback H∞ control for switched LPV time-delay systems with nonlinear constraints

被引：3

作者：

Li, Wenzi ^{[1
]}

Wu, Baowei ^{[2
]}

Wang, Yue-E ^{[2
]}

Liu, Lili ^{[2
]}

机构：

[1] Shanxi Vocat Univ Engn & Technol, Teaching Dept Basic Course, Xian, Peoples R China

[2] Shaanxi Normal Univ, Sch Math & Stat, Xian 710119, Peoples R China

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2023年 / 45卷 / 05期

关键词：

Switched LPV systems; state-dependent switching; asymptotic stability; output feedback control; H(infinity)performance; DWELL TIME; TRACKING CONTROL; STABILIZATION; PARAMETER; STABILITY; DESIGN;

D O I：

10.1177/01423312221124364

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper addresses the issues of static output feedback H-infinity control for switched linear parameter-varying (LPV) time-delay systems using multiple parameter-dependent Lyapunov functions. First, a parameter and state-dependent switching strategy with dwell time is designed and a sufficient condition ensuring the stability of the unforced switched LPV time-delay systems is established with the aid of the switching law. Then, the piecewise parameter-dependent controller is designed, such that the closed-loop system is asymptotically stable and satisfies an H-infinity performance index. Finally, two examples are provided to show the effectiveness of the results.

引用

页码：963 / 974

页数：12

共 31 条

[1] Stability analysis for discrete-time switched systems with uncertain time delay and affine parametric uncertainties [J].

Baleghi, N. A. ;

Shafiei, M. H. .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2018, 40 (04) :1150-1157

[2] Design of static and dynamic output feedback controllers for a discrete-time switched non-linear system with time-varying delay and parametric uncertainty [J].

Baleghi, Nasrollah Azam ;

Shafiei, Mohammad Hossein .

IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (11) :1635-1643

[3]

Briat C, 2015, ADV DELAY DYN, V3, P1, DOI 10.1007/978-3-662-44050-6

[4] Observed-Mode-Dependent State Estimation of Hidden Semi-Markov Jump Linear Systems [J].

Cai, Bo ;

Zhang, Lixian ;

Shi, Yang .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (01) :442-449

[5] Dynamic output feedback control of switched linear systems [J].

Geromel, Jose C. ;

Colaneri, Patrizio ;

Bolzern, Paolo .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (03) :720-733

[6] Finite-time H∞ static and dynamic output feedback control for a class of switched nonlinear time-delay systems [J].

Gholami, Hadi ;

Shafiei, Mohammad Hossein .

APPLIED MATHEMATICS AND COMPUTATION, 2021, 389

[7] Observer-based H∞ finite-time controller for time-delay nonlinear one-sided Lipschitz systems with exogenous disturbances [J].

Gholami, Hadi ;

Binazadeh, Tahereh .

JOURNAL OF VIBRATION AND CONTROL, 2019, 25 (04) :806-819

[8] Asynchronously switched control of discrete impulsive switched systems with time delays [J].

Li, Xia ;

Xiang, Zhengrong ;

Karimi, Hamid Reza .

INFORMATION SCIENCES, 2013, 249 :132-142

[9] Exponential Admissibility and Dynamic Output Feedback Control of Switched Singular Systems with Interval Time-Varying Delay [J].

Lin, Jinxing ;

Fan, Chunxia .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010

[10] Stability and l2-Gain Analysis of Discrete-Time Switched Systems with Mode-Dependent Average Dwell Time [J].

Liu, Li-Juan ;

Zhao, Xudong ;

Sun, Xi-Ming ;

Zong, Guangdeng .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (06) :2305-2314

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