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Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations by M.D.S. Aliyu

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12

Mixed2/ Nonlinear Filtering

The H nonlinear filter has been discussed in Chapter 8, and its advantages over the Kalman-filter have been mentioned. In this chapter, we discuss the mixed H2/H-criterion approach for estimating the states of an affine nonlinear system in the spirit of Reference [179]. Many authors have considered mixed H2/H-filtering techniques for linear systems [162, 257], [269]-[282], which enjoy the advantages of both Kalman-filtering and H-filtering. In particular, the paper [257] considers a differential game approach to the problem, which is attractive and transparent. In this chapter, we present counterpart results for nonlinear systems using a combination of the differential game approach with a dissipative ...

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