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Nonlinear approximate game-theoretic...

Jang, Jinsheng.

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Nonlinear approximate game-theoretic estimation and control.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear approximate game-theoretic estimation and control./
Author:	Jang, Jinsheng.
Description:	129 p.
Notes:	Source: Dissertation Abstracts International, Volume: 57-05, Section: B, page: 3375.
Contained By:	Dissertation Abstracts International57-05B.
Subject:	Engineering, Mechanical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9629207

Nonlinear approximate game-theoretic estimation and control.
Jang, Jinsheng.

Nonlinear approximate game-theoretic estimation and control. - 129 p.

Source: Dissertation Abstracts International, Volume: 57-05, Section: B, page: 3375.

Thesis (Ph.D.)--University of California, Los Angeles, 1996.

A game-theoretic approach to nonlinear estimation and control synthesis and analysis is proposed. Two classes of nonlinear dynamical systems are considered, namely, linear dynamical systems with nonlinear ordinary perturbation with respect to a small parameter Subjects--Topical Terms:

783786
Engineering, Mechanical.

Nonlinear approximate game-theoretic estimation and control.
LDR:03404nmm 2200289 4500 001 1833343
005 20071004071615.5
008 130610s1996 eng d
035 $a (UMI)AAI9629207
035 $a AAI9629207
040 $a UMI $c UMI
100 1 $a Jang, Jinsheng. $3 1922048
245 1 0 $a Nonlinear approximate game-theoretic estimation and control.
300 $a 129 p.
500 $a Source: Dissertation Abstracts International, Volume: 57-05, Section: B, page: 3375.
500 $a Chair: Jason L. Speyer.
502 $a Thesis (Ph.D.)--University of California, Los Angeles, 1996.
520 $a A game-theoretic approach to nonlinear estimation and control synthesis and analysis is proposed. Two classes of nonlinear dynamical systems are considered, namely, linear dynamical systems with nonlinear ordinary perturbation with respect to a small parameter $\ epsilon $ and dynamical systems with modifiable nonlinearities. For the former case, disturbance attenuation problems are defined and solved via a minimax approach where either estimator or controller is minimizing while initial state, process and measurement disturbance vectors try to maximize over a performance index converted from its corresponding disturbance attenuation inequality. A priori disturbance attenuation properties are proved for both infinite-order game-theoretic filters and controllers. Furthermore, the upper bounds to the increments of the thresholds are proved to be proportional to $\ epsilon\sp{N+1} $ a priori.
520 $a Next, for a class of modifiable nonlinear dynamical systems, both stable nonlinear game-theoretic filters and controllers, which solve the disturbance attenuation problems, are obtained with a dissipative approach. Then, sufficient conditions to render the dissipative inequalities satisfied with respect to the worst linear strategies for the process and sensor disturbances are derived. Both internal stability and disturbance attenuation properties are implied by the dissipativity for both estimation and control problems.
520 $a Subsequently, the game-theoretic approach is applied to derive both continuous-time and discrete-time decentralized filters. The continuous-time version of the dentralized estimator is determined from a disturbance attenuation problem which requires the solution to a deterministic differential game. The discrete-time form of the decentralized estimator is derived from a stochastic optimization problem minimizing with respect to the estimate the cost criterion of the expected value of the exponential of the sum of the squares of estimation errors at each stage time subject to a Gauss-Markov system. The essential property of this decentralized filter is that the computation of locally processed data which includes the local state estimate at a node of a K node interconnected network can be transmitted and combined at any time to produce the best global state estimate given all the data in the network. This decomposition generalizes the results of the decentralized Kalman filter. Finally, numerical examples illustrate the approximate nonlinear filter and controller performance.
590 $a School code: 0031.
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Engineering, System Science. $3 1018128
690 $a 0548
690 $a 0790
710 2 0 $a University of California, Los Angeles. $3 626622
773 0 $t Dissertation Abstracts International $g 57-05B.
790 1 0 $a Speyer, Jason L., $e advisor
790 $a 0031
791 $a Ph.D.
792 $a 1996
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9629207