<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The paper is devoted to the problem of observability and controllability analysis in nonlinear dynamic systems. Both continuous- and discrete-time systems described by nonlinear differential or difference equations, respectively, are considered. A new approach is developed to solve this problem whose features include (i) consideration of systems with non-differentiable nonlinearities and (ii) the use of relatively simple linear methods which may be supported by existing programming systems, e.g.,Matlab. Sufficient conditions are given for nonlinear unobservability/uncontrollability analysis. To apply these conditions, one isolates the linear part of the system which is checked to be unobservable/uncontrollable and, if the answer is positive, it is examined whether or not existing nonlinear terms violate the unobservability/uncontrollability property.</p></abstract>

The paper is devoted to the problem of observability and controllability analysis in nonlinear dynamic systems. Both continuous- and discrete-time systems described by nonlinear differential or difference equations, respectively, are considered. A new approach is developed to solve this problem whose features include (i) consideration of systems with non-differentiable nonlinearities and (ii) the use of relatively simple linear methods which may be supported by existing programming systems, e.g.,Matlab. Sufficient conditions are given for nonlinear unobservability/uncontrollability analysis. To apply these conditions, one isolates the linear part of the system which is checked to be unobservable/uncontrollable and, if the answer is positive, it is examined whether or not existing nonlinear terms violate the unobservability/uncontrollability property.

An approach to the analysis of observability and controllability in nonlinear systems via linear methods

Department of Automation and Control Far Eastern Federal University, Sukhanova street, 8, Vladivostok, 690990, Russia

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The paper is devoted to the problem of observability and controllability analysis in nonlinear dynamic systems. Both continuous- and discrete-time systems...

An approach to the analysis of observability and controllability in nonlinear systems via linear methods

Published Online: Sep 28, 2012

Page range: 507 - 522

DOI: https://doi.org/10.2478/v10006-012-0038-1

Keywords
nonlinear dynamic systems, observability, controllability, linear systems, decomposition

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

An approach to the analysis of observability and controllability in nonlinear systems via linear methods

Published Online: Sep 28, 2012

Page range: 507 - 522

DOI: https://doi.org/10.2478/v10006-012-0038-1

Keywordsnonlinear dynamic systems, observability, controllability, linear systems, decomposition

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
nonlinear dynamic systems, observability, controllability, linear systems, decomposition