HPLF-based Robust Stability Criteria for Uncertain Continuous-Time Linear Systems

被引：0
|
作者：
Wang Yantao [1 ]
Zhang Xian [1 ]
Wang Xin [1 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
来源：
PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE | 2010年
关键词：
LMIs; Homogeneous Polynomial Lyapunov Functions; Robust Stability; NONQUADRATIC LYAPUNOV FUNCTIONS; ALGORITHM;
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：
New sufficient conditions for the robust stability of continuous-time linear systems with the norm-bounded additive/multiplicative uncertainty are proposed. These criteria are based on the feasibility test of a set of linear matrix inequalities (LMIs) obtained from homogeneous polynomial Lyapunov functions (HPLFs). It is shown that these proposed criteria are less conservative than those obtained by using common quadratic Lyapunov functions, which is also verified by numerical examples.
引用
下载
收藏
页码：921 / 924
页数：4
相关论文
共 50 条
  • [21] LMI conditions for evaluating and increasing stability margins of uncertain continuous-time linear systems
    de Oliveira, Paulo J.
    Oliveira, Ricardo C. L. F.
    Peres, Pedro L. D.
    IFAC PAPERSONLINE, 2022, 55 (25): : 37 - 42
  • [22] Robust stabilization of uncertain continuous-time and discrete-time systems
    Bachilina, LM
    Stepanov, SA
    CONTROL APPLICATIONS OF OPTIMIZATION 2000, VOLS 1 AND 2, 2000, : 35 - 39
  • [23] Robust stability criteria for uncertain linear systems with interval time-varying delay
    Krishnan RAMAKRISHNAN
    Goshaidas RAY
    Control Theory and Technology, 2011, 9 (04) : 559 - 566
  • [24] Robust stability criteria for uncertain linear systems with interval time-varying delay
    Ramakrishnan K.
    Ray G.
    Journal of Control Theory and Applications, 2011, 9 (04): : 559 - 566
  • [25] New Stability Criteria of Continuous-time Systems with Delay
    Zhu, Xun-Lin
    Du, Xin
    Wang, Youyi
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 563 - 567
  • [26] ON THE ROBUST STABILITY, STABILIZATION, AND STABILITY RADII OF CONTINUOUS-TIME INFINITE MARKOV JUMP LINEAR SYSTEMS
    Todorov, Marcos G.
    Fragoso, Marcelo D.
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (03) : 1171 - 1196
  • [27] Robust Stabilization of Continuous-Time Switched Linear Systems
    Raouf, J.
    Michalska, H.
    18TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, 2010, : 1235 - 1240
  • [28] Robust H2 and H∞ control for positive continuous-time uncertain linear systems
    Spagolla, Amanda
    Lemaire, Álvaro A.
    Morais, Cecília F.
    Oliveira, Ricardo C.L.F.
    Peres, Pedro L.D.
    Journal of the Franklin Institute, 2022, 359 (10) : 4842 - 4855
  • [29] Improved Results on Robust Energy-to-Peak Filtering for Continuous-Time Uncertain Linear Systems
    Quancheng Cheng
    Baoying Cui
    Circuits, Systems, and Signal Processing, 2019, 38 : 2335 - 2350
  • [30] A necessary and sufficient condition for robust asymptotic stabilizability of continuous-time uncertain switched linear systems
    Lin, H
    Antsaklis, PJ
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3690 - 3695
12345