Unified state-space approach to LQG and GPC controllers

M. J. Blachuta

Unified state-space approach to LQG and GPC controllers

M. J. Blachuta

Department of Automatic Control and Robotics (RAU/RAU3)

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

Abstract

A unified state-space approach to LQG and GPC control problems based on state-space representation of ARMAX models and explicit delay performance indices is presented. The solution consists of two parts. The first one consists in finding N free predictions of the output in the input-output approach or, equivalently, the filtered state variable in the state-space approach. The second part is connected either with inverting a N_u × N_u matrix or with calculating the vector k_c from a combination of Lyapunov and Riccati equations.

Original language	English
Pages (from-to)	66-71
Number of pages	6
Journal	IEE Conference Publication
Issue number	427 /1
Publication status	Published - 1996
Event	Proceedings of the 1996 UKACC International Conference on Control. Part 1 (of 2) - Exeter, UK Duration: 2 Sept 1996 → 5 Sept 1996

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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title = "Unified state-space approach to LQG and GPC controllers",

abstract = "A unified state-space approach to LQG and GPC control problems based on state-space representation of ARMAX models and explicit delay performance indices is presented. The solution consists of two parts. The first one consists in finding N free predictions of the output in the input-output approach or, equivalently, the filtered state variable in the state-space approach. The second part is connected either with inverting a Nu × Nu matrix or with calculating the vector kc from a combination of Lyapunov and Riccati equations.",

author = "Blachuta, \{M. J.\}",

year = "1996",

language = "English",

pages = "66--71",

journal = "IEE Conference Publication",

issn = "0537-9989",

publisher = "Institution of Engineering and Technology",

number = "427 /1",

note = "Proceedings of the 1996 UKACC International Conference on Control. Part 1 (of 2) ; Conference date: 02-09-1996 Through 05-09-1996",

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PY - 1996

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N2 - A unified state-space approach to LQG and GPC control problems based on state-space representation of ARMAX models and explicit delay performance indices is presented. The solution consists of two parts. The first one consists in finding N free predictions of the output in the input-output approach or, equivalently, the filtered state variable in the state-space approach. The second part is connected either with inverting a Nu × Nu matrix or with calculating the vector kc from a combination of Lyapunov and Riccati equations.

AB - A unified state-space approach to LQG and GPC control problems based on state-space representation of ARMAX models and explicit delay performance indices is presented. The solution consists of two parts. The first one consists in finding N free predictions of the output in the input-output approach or, equivalently, the filtered state variable in the state-space approach. The second part is connected either with inverting a Nu × Nu matrix or with calculating the vector kc from a combination of Lyapunov and Riccati equations.

UR - https://www.scopus.com/pages/publications/0030395106

M3 - Conference article

AN - SCOPUS:0030395106

SN - 0537-9989

SP - 66

EP - 71

JO - IEE Conference Publication

JF - IEE Conference Publication

IS - 427 /1

T2 - Proceedings of the 1996 UKACC International Conference on Control. Part 1 (of 2)

Y2 - 2 September 1996 through 5 September 1996

ER -

Unified state-space approach to LQG and GPC controllers

Abstract

ASJC Scopus subject areas

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