Synthesis of switching rules for switched linear systems through randomized algorithms

Hideaki Ishii; Tamer Başar; Roberta Tempo

Synthesis of switching rules for switched linear systems through randomized algorithms

Hideaki Ishii
, Tamer Başar
, Roberta Tempo

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this paper, the design of a stabilizing switching rule for a switched linear system is considered. We first propose a probabilistic algorithm for a known nonconvex condition that employs a multiple Lyapunov function. We prove a probability-one convergence of the algorithm under a new notion of convergence. Then, to reduce its complexity, a modified version of the algorithm is developed. The results are illustrated using two-and three-dimensional systems with multiple switch states.

Original language	English (US)
Pages (from-to)	4788-4793
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	5
State	Published - 2003
Event	42nd IEEE Conference on Decision and Control - Maui, HI, United States Duration: Dec 9 2003 → Dec 12 2003

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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title = "Synthesis of switching rules for switched linear systems through randomized algorithms",

abstract = "In this paper, the design of a stabilizing switching rule for a switched linear system is considered. We first propose a probabilistic algorithm for a known nonconvex condition that employs a multiple Lyapunov function. We prove a probability-one convergence of the algorithm under a new notion of convergence. Then, to reduce its complexity, a modified version of the algorithm is developed. The results are illustrated using two-and three-dimensional systems with multiple switch states.",

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year = "2003",

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volume = "5",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "42nd IEEE Conference on Decision and Control ; Conference date: 09-12-2003 Through 12-12-2003",

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AU - Ishii, Hideaki

AU - Başar, Tamer

AU - Tempo, Roberta

PY - 2003

Y1 - 2003

N2 - In this paper, the design of a stabilizing switching rule for a switched linear system is considered. We first propose a probabilistic algorithm for a known nonconvex condition that employs a multiple Lyapunov function. We prove a probability-one convergence of the algorithm under a new notion of convergence. Then, to reduce its complexity, a modified version of the algorithm is developed. The results are illustrated using two-and three-dimensional systems with multiple switch states.

AB - In this paper, the design of a stabilizing switching rule for a switched linear system is considered. We first propose a probabilistic algorithm for a known nonconvex condition that employs a multiple Lyapunov function. We prove a probability-one convergence of the algorithm under a new notion of convergence. Then, to reduce its complexity, a modified version of the algorithm is developed. The results are illustrated using two-and three-dimensional systems with multiple switch states.

UR - https://www.scopus.com/pages/publications/1542320159

UR - https://www.scopus.com/pages/publications/1542320159#tab=citedBy

M3 - Conference article

AN - SCOPUS:1542320159

SN - 0191-2216

VL - 5

SP - 4788

EP - 4793

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 42nd IEEE Conference on Decision and Control

Y2 - 9 December 2003 through 12 December 2003

ER -

Synthesis of switching rules for switched linear systems through randomized algorithms

Abstract

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