Low-order multi-rate linear time-invariant decentralized trackers using the new observer-based sub-optimal method for unknown sampled-data nonlinear time-delay system with closed-loop decoupling

N. T. Hu, Jason Sheng-Hon Tsai, Shu-Mei Guo, L. S. Shieh, Y. Chen

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This paper presents the low-order multi-rate linear time-invariant decentralized trackers using the new observer-based sub-optimal method for a class of unknown sampled-data nonlinear time-delay system with closed-loop decoupling. For the unknown sampled-data nonlinear time-delay system, we assume that the inner time delay is clearly known. Under this prerequisite, the appropriate (low-) order decentralized linear observer for the unknown sampled-data nonlinear system is determined by the off-line observer/Kalman filter identification (OKID) method with artificial delay input and actual delay output. Then, the above observer has been further improved based on the proposed new observer-based sub-optimal approach. Sequentially, the decentralized tracker with the high gain property is proposed, so that the closed-loop system has the decoupling property. The proposed approach constructs complete mathematics method including the concept of optimal control theory and state-matching digital redesign technique and is quite useful for the complicated interconnected large-scale sampled-data nonlinear time-delay system with unknown system equation.

Original languageEnglish
Pages (from-to)433-475
Number of pages43
JournalOptimal Control Applications and Methods
Volume32
Issue number4
DOIs
Publication statusPublished - 2011 Jul 1

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Nonlinear Time-delay Systems
Decoupling
Closed-loop
Decentralized
Linear Time
Observer
Time delay
Unknown
Invariant
Digital Redesign
Sampled-data Systems
Input Delay
Control theory
Closed loop systems
Kalman filters
Optimal Control Theory
Nonlinear systems
Identification (control systems)
Kalman Filter
Closed-loop System

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Software
  • Control and Optimization
  • Applied Mathematics

Cite this

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title = "Low-order multi-rate linear time-invariant decentralized trackers using the new observer-based sub-optimal method for unknown sampled-data nonlinear time-delay system with closed-loop decoupling",
abstract = "This paper presents the low-order multi-rate linear time-invariant decentralized trackers using the new observer-based sub-optimal method for a class of unknown sampled-data nonlinear time-delay system with closed-loop decoupling. For the unknown sampled-data nonlinear time-delay system, we assume that the inner time delay is clearly known. Under this prerequisite, the appropriate (low-) order decentralized linear observer for the unknown sampled-data nonlinear system is determined by the off-line observer/Kalman filter identification (OKID) method with artificial delay input and actual delay output. Then, the above observer has been further improved based on the proposed new observer-based sub-optimal approach. Sequentially, the decentralized tracker with the high gain property is proposed, so that the closed-loop system has the decoupling property. The proposed approach constructs complete mathematics method including the concept of optimal control theory and state-matching digital redesign technique and is quite useful for the complicated interconnected large-scale sampled-data nonlinear time-delay system with unknown system equation.",
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AU - Guo, Shu-Mei

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AU - Chen, Y.

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N2 - This paper presents the low-order multi-rate linear time-invariant decentralized trackers using the new observer-based sub-optimal method for a class of unknown sampled-data nonlinear time-delay system with closed-loop decoupling. For the unknown sampled-data nonlinear time-delay system, we assume that the inner time delay is clearly known. Under this prerequisite, the appropriate (low-) order decentralized linear observer for the unknown sampled-data nonlinear system is determined by the off-line observer/Kalman filter identification (OKID) method with artificial delay input and actual delay output. Then, the above observer has been further improved based on the proposed new observer-based sub-optimal approach. Sequentially, the decentralized tracker with the high gain property is proposed, so that the closed-loop system has the decoupling property. The proposed approach constructs complete mathematics method including the concept of optimal control theory and state-matching digital redesign technique and is quite useful for the complicated interconnected large-scale sampled-data nonlinear time-delay system with unknown system equation.

AB - This paper presents the low-order multi-rate linear time-invariant decentralized trackers using the new observer-based sub-optimal method for a class of unknown sampled-data nonlinear time-delay system with closed-loop decoupling. For the unknown sampled-data nonlinear time-delay system, we assume that the inner time delay is clearly known. Under this prerequisite, the appropriate (low-) order decentralized linear observer for the unknown sampled-data nonlinear system is determined by the off-line observer/Kalman filter identification (OKID) method with artificial delay input and actual delay output. Then, the above observer has been further improved based on the proposed new observer-based sub-optimal approach. Sequentially, the decentralized tracker with the high gain property is proposed, so that the closed-loop system has the decoupling property. The proposed approach constructs complete mathematics method including the concept of optimal control theory and state-matching digital redesign technique and is quite useful for the complicated interconnected large-scale sampled-data nonlinear time-delay system with unknown system equation.

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