This chapter deals 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 multi‐objective 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.
Variance‐Constrained Dissipative Control with Degraded Measurements
16.03.2015
23 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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