State-feedback stabilization for stochastic high-order nonholonomic systems with Markovian switching

被引：0

作者：

Du Qinghui ^{[1
]}

Wang Chaoli ^{[1
]}

Xu Weidong ^{[1
]}

Zhang Dongkai ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Shanghai 200093, Peoples R China

[2] Shijiazhuang Univ, Dept Math, Shijiazhuang 050000, He Bei, Peoples R China

来源：

2015 34TH CHINESE CONTROL CONFERENCE (CCC) | 2015年

关键词：

Stochastic high-order nonholonomic systems; State-feedback stabilization; Markovian switching; Input-state-scaling; Adding a power integrator; SLIDING MODE CONTROL; NONLINEAR-SYSTEMS; JUMPING SYSTEMS; STABILITY;

D O I：

暂无

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 investigates the the problem of stabilization control design for a class of stochastic high-order nonholonomic systems with Markovian switching. A state feedback controller is obtained by using input-state scaling technique and the generalized Ito formula, and adding a power integrator backstepping approach. The switching strategy is proposed to eliminate the phenomenon of uncontrollability and to guarantee that closed-loop system has a unique solution and the solution of the closed-loop systems is almost surely asymptotically stable. Simulation examples demonstrate the effectiveness of the proposed scheme

引用

页码：1687 / 1692

页数：6

共 24 条

[1] Sliding mode control for stochastic Markovian jumping systems with incomplete transition rate [J].

Chen, Bei ;

Niu, Yugang ;

Zou, Yuanyuan .

IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (10) :1330-1338

[2] Adaptive sliding mode control for stochastic Markovian jumping systems with actuator degradation [J].

Chen, Bei ;

Niu, Yugang ;

Zou, Yuanyuan .

AUTOMATICA, 2013, 49 (06) :1748-1754

[3] Adaptive stabilization of high order nonholonomic systems with strong nonlinear drifts [J].

Gao, Fangzheng ;

Yuan, Fushun ;

Yao, Hejun ;

Mu, Xiaowu .

APPLIED MATHEMATICAL MODELLING, 2011, 35 (09) :4222-4233

[4]

KRASNOSELSKII MA, 1983, GEOMETRICAL METHODS

[5]

Li FW, 2013, INT J INNOV COMPUT I, V9, P4889

[6] State-feedback stabilization for stochastic high-order nonlinear systems with Markovian switching [J].

Li, Wuquan ;

Wang, Hui ;

Liu, Xiaohua .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 408 (01) :374-383

[7] Further results on adaptive state-feedback stabilization for stochastic high-order nonlinear systems [J].

Li, Wuquan ;

Liu, Xiaohua ;

Zhang, Siying .

AUTOMATICA, 2012, 48 (08) :1667-1675

[8] Control of high-order nonholonomic systems in power chained form using discontinuous feedback [J].

Lin, W ;

Pongvuthithum, R ;

Qian, CJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (01) :108-115

[9]

Liu JL, 2011, INT J INNOV COMPUT I, V7, P1299

[10]

Mao X., 2006, STOCHASTIC DIFFERENT, DOI [10.1142/p473, DOI 10.1142/P473]

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