Stabilization of a Class of Polynomial Systems with Input Saturation Based on Event-Triggered Control

被引:1
作者
Cai, Xu [1 ]
Lou, Xuyang [1 ]
机构
[1] Jiangnan Univ, Key Lab Adv Proc Control Light Ind, Minist Educ, Wuxi 214122, Peoples R China
关键词
Event-triggered control; Polynomial system; Input saturation; Hybrid system; Sum-of-squares programming; FEEDBACK-CONTROL; NONLINEAR-SYSTEMS; DESIGN; STABILITY; PERFORMANCE; SUBJECT;
D O I
10.1007/s00034-022-02261-7
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper addresses a robust stabilization problem of polynomial systems with input saturation. Firstly, based on the framework of hybrid systems, an event-triggered controller is designed to establish the local uniform asymptotical stability of the closed-loop polynomial system. Secondly, the semi-global robust stabilization of polynomial systems using the event-triggered control is analyzed. In particular, robustness is developed to general perturbations that reflect the state noise and unmodeled dynamics, as well as inflation of flow and jump sets. Finally, two examples are presented to verify the designed event-triggered control strategy.
引用
收藏
页码:3292 / 3319
页数:28
相关论文
共 39 条
[21]   Dynamic Event-Triggered State Estimation for Continuous-Time Polynomial Nonlinear Systems With External Disturbances [J].
Niu, Yichun ;
Sheng, Li ;
Gao, Ming ;
Zhou, Donghua .
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2021, 17 (06) :3962-3970
[22]   Sum-of-squares-based policy iteration for suboptimal control of polynomial time-varying systems [J].
Pakkhesal, Sajjad ;
Shamaghdari, Saeed .
ASIAN JOURNAL OF CONTROL, 2022, 24 (06) :3022-3031
[23]  
Papachristodoulou A., 2013, ARXIV
[24]  
Parrilo P., 2000, PhD Thesis
[25]   Hybrid feedback control and robust stabilization of nonlinear systems [J].
Prieur, Christophe ;
Goebel, Rafal ;
Teel, Andrew R. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (11) :2103-2117
[26]   Lyapunov-based hybrid loops for stability and performance of continuous-time control systems [J].
Prieur, Christophe ;
Tarbouriech, Sophie ;
Zaccarian, Luca .
AUTOMATICA, 2013, 49 (02) :577-584
[27]  
Sanfelice R.G., 2021, Hybrid Feedback Control
[28]  
Sanfelice Ricardo., 2013, Proceedings of the 16th international conference on Hybrid systems: computation and control, P101
[29]   LQ-based event-triggered controller co-design for saturated linear systems [J].
Seuret, Alexandre ;
Prieur, Christophe ;
Tarbouriech, Sophie ;
Zaccarian, Luca .
AUTOMATICA, 2016, 74 :47-54
[30]   Stability of non-linear systems by means of event-triggered sampling algorithms [J].
Seuret, Alexandre ;
Prieur, Christophe ;
Marchand, Nicolas .
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2014, 31 (03) :415-433