CLF-Based Control Design for Unknown Multiinput Nonlinear Systems With Good Transient Performance

被引:7
作者
Kosmatopoulos, Elias B. [1 ,2 ]
机构
[1] Democritus Univ Thrace, Dept Elect & Comp Engn, GR-67100 Xanthi, Greece
[2] Ctr Res & Technol Hellas, Informat & Telemat Inst, Thessaloniki 57001, Greece
关键词
Control Lyapunov functions (CLFs); multivariable adaptive control; semidefinite programming; sum-of-squares (SOS); SWITCHING ADAPTIVE-CONTROL; APPROXIMATION;
D O I
10.1109/TAC.2010.2063190
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 technical note tackles the problem of constructing state-feedback stabilizers that guarantee good transient closed-loop performance when applied to general unknown nonlinear multiinput state-feedback stabilizable systems. An adaptive Control Lyapunov Function-based control scheme is proposed in order to address this problem. Mathematical analysis establishes that the proposed control scheme guarantees good closed-loop transient performance outside the regions where the system is uncontrollable, provided the controlled system admits a controllability-like property.
引用
收藏
页码:2635 / 2640
页数:6
相关论文
共 22 条
[11]   Approximation bounds for smooth functions in C(IRd) by neural and mixture networks [J].
Maiorov, V ;
Meir, RS .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1998, 9 (05) :969-978
[12]   An adaptive neuro-fuzzy tracking control for multi-input nonlinear dynamic systems [J].
Moustakidis, S. P. ;
Rovithakis, G. A. ;
Theocharis, J. B. .
AUTOMATICA, 2008, 44 (05) :1418-1425
[13]  
PARRILO PA, 2010, SOSTOOLS SOFTWARE TE
[14]  
Parrilo Pablo A, 2000, STRUCTURED SEMIDEFIN
[15]  
PEET MM, 2008, P IFAC WORLD C SEOUL
[16]  
POMET JB, 1992, PROCEEDINGS OF THE 31ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P1737, DOI 10.1109/CDC.1992.371130
[17]  
SASTRY SS, 1989, IEEE T AUTOMATIC CON, V34, P405
[18]   A UNIVERSAL CONSTRUCTION OF ARTSTEIN THEOREM ON NONLINEAR STABILIZATION [J].
SONTAG, ED .
SYSTEMS & CONTROL LETTERS, 1989, 13 (02) :117-123
[19]  
Sznaier M, 1998, IEEE DECIS CONTR P, P1792, DOI 10.1109/CDC.1998.758556
[20]  
Tsinias J., 1989, Mathematics of Control, Signals, and Systems, V2, P343, DOI 10.1007/BF02551276