NDLI: Adaptive control of singular Markovian jump systems with uncertain switchings

Content Provider	IET Digital Library
Author	Wang, Guoliang Zhang, Qingling Su, Chengli
Abstract	This article studies the problem of adaptive control for a class of singular Markovian jump systems, upper bound of uncertain transition rates of which is unknown. Firstly, an adaptation law is developed to estimate the unknown parameter. Then, a new class of adaptive state feedback controller is proposed such that not only is the estimated error bounded in probability but also the states of the closed-loop system are asymptotically stable in probability. Moreover, the presented method is successfully extended to another general case that the transition rate matrix is partially unknown. Similarly, the bound of the unknown elements is not necessarily given beforehand. Finally, a numerical example is given to show the validity and superiority of the developed results.
Starting Page	1766
Ending Page	1773
Page Count	8
ISSN	17518644
Volume Number	9
e-ISSN	17518652
Issue Number	Issue 12, Aug (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/9/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2014.0698
Journal	IET Control Theory & Applications
Publisher Date	2015-05-21
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Adaptation Law Adaptive Control Adaptive State Feedback Controller Asymptotic Stability Closed Loop System Closed-loop System Control System Analysis Control System Synthesis Linear Algebra Markov Processes Matrix Algebra Modelling And Identification Numerical Analysis Parameter Estimation Probability Self Adjusting Control System Simulation Singular Markovian Jump System Stability in Control Theory State Feedback Synthesis Method Transition Rate Matrix Uncertain Transition Rates Unknown Element Unknown Parameter Estimation Upper Bound
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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