This note presents simple methods to design fulland reducedorder proportional integral observer for unknown inputs (UI) descriptor systems. Sufficient conditions for the existence of the observer are given and proven. The observer is solvable by any pole placement algorithm, it achieves a posteriori robustness state and UI estimation versus to time varying parameters and bounded nonlinear UI. A...

Although there have been some severe nuclear accidents such as Three Mile Island (USA), Chernobyl (Ukraine) and Fukushima (Japan), nuclear fission energy is still a source of clean energy that can substitute for fossil fuels in a centralized way and in a great amount with commercial availability and economic competitiveness. Since the pressurized water reactor (PWR) is the most widely used nucl...

A genetic algorithm (GA) uses the principles of evolution, natural selection, and genetics to offer a method for parallel search of complex spaces. In this paper we show how to utilize GA’s to perform online adaptive state estimation for nonlinear systems. First, we show how to construct a genetic adaptive observer (GAO) where a GA evolves the gains in a state observer in real time so that the ...

In this paper we consider systems which are globally completly observable and output-to-state stable. The former property guarantees the existence of coordinates such that the dynamics can be expressed in observability form. The latter property guarantees the existence of a state norm observer and therefore nonlinearities bounding function and local Lipschitz bound. Both allow us to build an ob...

In this work, we focus on a class of nonlinear systems and design an estimator-based economic model predictive control (MPC) system which is capable of optimizing closed-loop performance with respect to general economic considerations taken into account in the construction of the cost function.Workingwith the class of full-state feedback linearizable nonlinear systems, we use a high-gain observ...

This paper is concerned with the characterization of all nonlinear stabilizing controllers. Observer based kernel representations are introduced to avoid the di culty which occurs in constructing the state-space realizations of input-output operators. By using observer based kernel representations, the parametrization of all the stabilizing plant-controller pairs is derived which is equivalent ...

This paper is concerned with the investigation of the closed-loop structure of a discrete–time H∞ control system. It is shown that discrete–time H∞ controller is represented, like Linear Quadratic Gaussian control, as a pseudo state feedback, that is, a state feedback interconnected with an observer. However, in the discrete-time H∞ control problem the control structure is more complicated sinc...

The paper deals with the observer design problem for a wide class of triangular timevarying nonlinear systems, with unobservable linearization. Sufficient conditions are derived for the existence of a Luenberger-type observer, when it is a priori known that the initial state of the system belongs to a given nonempty bounded subset of the state space. For the general case, the state estimation i...

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Nonlinear Model Predictive Control (NMPC), generally based on nonlinear state space models, needs knowledge of the full state for feedback. However, in practice knowledge of the full state is usually not available. Therefore, an asymptotically stabilizing MPC scheme for a class of nonlinear discrete-time systems is proposed, which only requires knowledge of the output of the system for feedback...