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We study the Newton observer design, developed by Moraal and Grizzle, when the exact discrete-time model of the sampled-data plant is not known analytically. We eliminate the dependence on this exact model with a “hybrid” reconstruction that makes use of continuous-time filters to produce the numerical value of the exact model. We then implement the Newton method with finite-difference and secant...
In this paper we show that under suitable assumptions, there exists a global homeomorphism Ψ(=Φ-1) of Rn which maps a nonlinear system x˙=f(x),x(0)=x0,y=h(x) onto a linear system with output injection z˙=Az+β(y),z(0)=Ψ(x0). Thus, an observer for state x can be directly constructed as x^˙=f(x^)+β(y)-β(h(x^)), which is a generalized version of Luenberger observer. An important feature of the obtained...
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