Design of H2 Controllers for Sampled-Data Systems with Input Time Delays

Kwang Sung Park, Jin Bae Park, Yoon H. Choi, Zhong Li, Nam Hyun Kim

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This paper presents a general framework based on lifting technique for sampled-data systems with input time delays. By analyzing the properties of operator-valued matrices of lifted systems with input time delays, an extended lifting technique is obtained. It is then shown that, with the proposed lifting technique, the complex behavior of the system can be illustrated by two simple lifted systems, which construct the extended lifted system. The extended lifted system has the same induced norm as that of the original system with an input time delay, since the proposed lifting technique is an isometric isomorphism. Through applying the proposed lifting technique to sampled-data systems with input time delays, the time-invariant discrete-time system with infinite-dimensional input and output spaces is obtained. The equivalent discrete-time system, which is derived from the extended lifted system, can satisfy the problem of H2 sampled-data control systems with input time delays. Simulation results are given to show that the proposed method can guarantee a more stable system response than the conventional H2 sampled-data controller for the sampled-data systems with the various input time delays.

Original languageEnglish
Pages (from-to)231-260
Number of pages30
JournalReal-Time Systems
Volume26
Issue number3
DOIs
Publication statusPublished - 2004 Apr 1

Fingerprint

Sampled-data Systems
Input Delay
Time Delay
Time delay
Controller
Controllers
Extended Systems
Discrete-time Systems
Sampled data control systems
Sampled-data Control
Isometric
Design
Isomorphism
Control System
Norm
Invariant
Output
Operator
Simulation

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Computer Networks and Communications
  • Control and Optimization
  • Electrical and Electronic Engineering

Cite this

Park, Kwang Sung ; Park, Jin Bae ; Choi, Yoon H. ; Li, Zhong ; Kim, Nam Hyun. / Design of H2 Controllers for Sampled-Data Systems with Input Time Delays. In: Real-Time Systems. 2004 ; Vol. 26, No. 3. pp. 231-260.
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Design of H2 Controllers for Sampled-Data Systems with Input Time Delays. / Park, Kwang Sung; Park, Jin Bae; Choi, Yoon H.; Li, Zhong; Kim, Nam Hyun.

In: Real-Time Systems, Vol. 26, No. 3, 01.04.2004, p. 231-260.

Research output: Contribution to journalArticle

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