Robust Stability of Switched Systems

被引：0

作者：

Sloth, Christoffer ^{[1
]}

Wisniewski, Rafael ^{[1
]}

机构：

[1] Aalborg Univ, Sect Automat & Control, DK-9220 Aalborg, Denmark

来源：

2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年

关键词：

POLYNOMIALS;

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：

This paper presents a linear programming-based method for finding Lyapunov functions of switched systems with polynomial vector fields and parametric uncertainties. We propose to utilize a certificate of positivity in the Bernstein basis to find a Lyapunov function. A certificate of positivity in the Bernstein basis always exists if a polynomial is positive, and the Bernstein basis is shown to be well conditioned.

引用

页码：4685 / 4690

页数：6

共 50 条

[21] On the optimum radius of robust stability for Schur polynomials [J].

Gao, LX ;

Sun, YX .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 114 (02) :471-475

[22] On the Optimum Radius of Robust Stability for Schur Polynomials [J].

L.X. Gao ;

Y.X. Sun .

Journal of Optimization Theory and Applications, 2002, 114 :471-475

[23] On strong stability and robust strong stability of linear difference equations with two delays [J].

Zhou, Bin .

AUTOMATICA, 2019, 110

[24] Establishing robust stability of discrete-time systems with time-varying uncertainty: The Gram-SOS approach [J].

Chesi, Graziano .

AUTOMATICA, 2014, 50 (11) :2813-2821

[25] Input Redundancy of Switched Linear Systems via Polynomial Parameter-Dependent Systems [J].

Viana, V. V. ;

Kreiss, J. ;

Jungers, M. .

IEEE CONTROL SYSTEMS LETTERS, 2024, 8 :1066-1071

[26] ROBUST STABILITY OF DIAMOND FAMILIES OF POLYNOMIALS WITH COMPLEX COEFFICIENTS [J].

WANG, L ;

HUANG, L .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1992, 23 (08) :1371-1378

[27] Robust stability of discrete polynomials with polynomic structure of coefficients [J].

Dvoráková, R ;

Husek, P ;

Elizondo, C .

ROBUST CONTROL DESIGN 2000, VOLS 1 & 2, 2000, 1-2 :699-704

[28] Simple interval observers for linear impulsive systems with applications to sampled-data and switched systems [J].

Briat, Corentin ;

Khammash, Mustafa .

IFAC PAPERSONLINE, 2017, 50 (01) :5079-5084

[29] Parameter and Controller Dependent Lyapunov Functions for Robust D-Stability and Robust Performance Controller Design [J].

Chesi, Graziano .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (09) :4798-4803

[30] Robust stability analysis of uncertain Linear Positive Systems via Integral Linear Constraints: L1- and L∞-gain characterizations [J].

Briat, Corentin .

2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, :6337-6342

← 1 2 3 4 5 →