Hybrid Model Reference Adaptive Control of Piecewise Affine Systems

被引:82
|
作者
di Bernardo, Mario [1 ,2 ]
Montanaro, Umberto [1 ,3 ]
Santini, Stefania [1 ]
机构
[1] Univ Naples Federico II, Dept Syst & Comp Engn, I-80125 Naples, Italy
[2] Univ Bristol, Dept Engn Math, Bristol BS8 1TR, Avon, England
[3] CNR, Ist Motori, I-80125 Naples, Italy
关键词
Adaptive control; hybrid and switching control; switched systems; OBSERVER-BASED CONTROL; TRACKING CONTROL; SYNCHRONIZATION; ROBUSTNESS; STABILITY; ALGORITHM;
D O I
10.1109/TAC.2012.2212516
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 is concerned with the derivation of a model reference adaptive control (MRAC) scheme for multimodal piecewise-affine (PWA) and piecewise-linear systems. The control allows the plant to track asymptotically the states of a multimodal piecewise affine (or smooth) reference model. The reference model can be characterized by a number and geometry of phase space regions that can be entirely different from those of the plant. Numerical simulations on a set of representative examples confirm the theoretical derivation and proof of stability.
引用
收藏
页码:304 / 316
页数:13
相关论文
共 50 条
  • [1] Extended hybrid model reference adaptive control of piecewise affine systems
    di Bernardo, Mario
    Montanaro, Umberto
    Ortega, Romeo
    Santini, Stefania
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 21 : 11 - 21
  • [2] Direct and Indirect Model Reference Adaptive Control for Multivariable Piecewise Affine Systems
    Kersting, Stefan
    Buss, Martin
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (11) : 5634 - 5649
  • [3] Indirect Model Reference Adaptive Control of Piecewise Affine Systems with Concurrent Learning
    Liu, Tong
    Buss, Martin
    [J]. IFAC PAPERSONLINE, 2020, 53 (02): : 1924 - 1929
  • [4] Novel switched Model Reference Adaptive Control for continuous Piecewise Affine systems
    di Bernardo, Mario
    Montanaro, Umberto
    Santini, Stefania
    [J]. 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 1925 - 1930
  • [5] Model reference adaptive control of piecewise affine systems with state tracking performance guarantees
    Liu, Tong
    Buss, Martin
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (07) : 4129 - 4148
  • [6] Output Feedback Model Reference Adaptive Control of Piecewise Affine Systems With Parameter Convergence Analysis
    Liu, Tong
    Buss, Martin
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (07) : 3707 - 3714
  • [7] Hierarchical Control of Piecewise Affine Hybrid Systems
    Helwa, Mohamed K.
    Caines, Peter E.
    [J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 3950 - 3956
  • [8] Analysis and control with performance of piecewise affine and hybrid systems
    Ferrari-Trecate, G
    Cuzzola, FA
    Mignone, D
    Morari, M
    [J]. PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 200 - 205
  • [9] Robust model predictive control for piecewise affine systems
    Zou, Yuanyuan
    Li, Shaoyuan
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2007, 26 (03) : 393 - 406
  • [10] Robust Model Predictive Control for Piecewise Affine Systems
    Yuanyuan Zou
    Shaoyuan Li
    [J]. Circuits, Systems & Signal Processing, 2007, 26 : 393 - 406