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Title: Variance-constrained dissipative observer-based control for a class of nonlinear stochastic systems with degraded measurements
Authors: Wang, Z
Lam, J
Ma, L
Bo, Y
Guo, Z
Keywords: Nonlinear systems;Stochastic systems;Dissipative control;Variance-constrained control;Degraded measurements
Issue Date: 2011
Publisher: Elsevier
Citation: Journal of Mathematical Analysis and Applications, 377(2): 645-658, May 2011
Abstract: This paper is concerned with the variance-constrained dissipative control problem for a class of stochastic nonlinear systems with multiple degraded measurements, where the degraded probability for each sensor is governed by an individual random variable satisfying a certain probabilistic distribution over a given interval. The purpose of the problem is to design an observer-based controller such that, for all possible degraded measurements, the closed-loop system is exponentially mean-square stable and strictly dissipative, while the individual steady-state variance is not more than the pre-specified upper bound constraints. A general framework is established so that the required exponential mean-square stability, dissipativity as well as the variance constraints can be easily enforced. A sufficient condition is given for the solvability of the addressed multiobjective control problem, and the desired observer and controller gains are characterized in terms of the solution to a convex optimization problem that can be easily solved by using the semi-definite programming method. Finally, a numerical example is presented to show the effectiveness and applicability of the proposed algorithm.
Description: The official published version of the article can be obtained from the link below.
ISSN: 0022-247X
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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