Performance analysis and predictive control of piecewise linear system

被引:0
作者
Zeng Feng [1 ]
Gao Dongjie [1 ]
机构
[1] Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
来源
PROCEEDINGS OF THE 24TH CHINESE CONTROL CONFERENCE, VOLS 1 AND 2 | 2005年
关键词
piecewise linear system; observability; reachabilty; optimal control; model predictive control;
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
Piecewise linear system (PWL) is a set of linear systems controlled by finite state machine. The performance of PWL behaves characteristics of nonlinear system. Firstly, observability degree and reachabilty degree of PWL are defined from the viewpoint of energy. Secondly the method get the upper and lower bound of observability degree and reachabilty degree is presented. Thirdly, Infinite-time linear optimal control of PWL system is analyzed and the upper and lower bound of optimal control are calculated too. Lastly, PWL predictive control which uses the upper bound of optimal control as penalty function under certain conditions is proved to be stable.
引用
收藏
页码:171 / 175
页数:5
相关论文
共 9 条
[1]   Control of systems integrating logic, dynamics, and constraints [J].
Bemporad, A ;
Morari, M .
AUTOMATICA, 1999, 35 (03) :407-427
[2]   Observability and controllability of piecewise affine and hybrid systems [J].
Bemporad, A ;
Ferrari-Trecate, G ;
Morari, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (10) :1864-1876
[3]  
BEMPORAD G, 1999, REPORT OBSERVABILITY
[4]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[5]   Equivalence of hybrid dynamical models [J].
Heemels, WPMH ;
De Schutter, B ;
Bemporad, A .
AUTOMATICA, 2001, 37 (07) :1085-1091
[6]   Computation of piecewise quadratic Lyapunov functions for hybrid systems [J].
Johansson, M ;
Rantzer, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :555-559
[7]  
MICHALSKA H, 1998, IEEE T AUTOMATIC JUN, P1623
[8]  
MIGNONE D, 2002, REPORT STABILITY STA
[9]  
RANTZER A, 1997, AM CONTR C ALB NM US, P4