H8 scheduling control on nonlinear stochastic systems with partially unknown information

In this paper, we propose a method for designing continuous gain-scheduled H1 controller for a class of stochastic nonlinear systems with unknown information. The stochastic nonlinear system under study is governed by a finite-state Markov process, but with partially known jump rate from one mode to...

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Bibliographic Details
Main Authors: Liu, Y., Yin, YanYan, Liu, F.
Format: Journal Article
Published: ICIC International 2014
Online Access:http://hdl.handle.net/20.500.11937/52628
Description
Summary:In this paper, we propose a method for designing continuous gain-scheduled H1 controller for a class of stochastic nonlinear systems with unknown information. The stochastic nonlinear system under study is governed by a finite-state Markov process, but with partially known jump rate from one mode to another. Initially, gradient linearization procedure is applied to describe such nonlinear systems by several model-based linear systems. Next, H8 controllers are established for each linear model in terms of linear matrix inequalities. Finally, continuous gain-scheduled approach is employed to design continuous nonlinear controllers for the whole nonlinear jump system. A numerical example is given to illustrate the effectiveness of the developed techniques. © ICIC International 2014.