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This paper focuses on the synthesis of adaptive fuzzy fault tolerant controller which combines a sliding mode controller and a Proportional Integral controller (PI) for a class of MIMO underactuated nonlinear systems with external disturbances. The proposed control law treats the underactuated systems on their original non square form without squaring them by adding or eliminating variables. The uncertain...
In this paper, a step by step algorithm is given to design functional unknown input observer for nonlinear discrete time systems under the Polytopic Takagi-Sugeno framework (also known as multiple models systems). Applying the Lyapunov theory and the ℒ2 attenuation, Linear Matrix Inequalities (LMI)s conditions are deduced which are solved for feasibility to obtain observer design matrices. To reject...
This paper addresses the problem of the design of an adaptive observer for a class of time delay systems, in order to give a suitable estimation of the system states and its unknown parameters simultaneously. Based on a descriptor LPV system approach, we propose a simple full order adaptive observer via Linear Matrix Inequalities (LMI's). Those LMI's permit to fulfill the conditions of the estimation...
This paper deals with the design of a discrete time nonlinear observer for an anaerobic digestion process. The designed observer is devoted to a general class of systems, precisely linear systems, LPV systems with known and bounded parameters, and nonlinear Lipschitz systems. In order to ensure stability of the estimation error, a new LMI condition is proposed. In this LMI, additional decision variables...
The design of robust controller for an uncertain discrete-time nonlinear systems is considered in this paper. Firstly, a discrete sliding mode control, based on using the inverse of nonlinear function, is proposed. While in the case of relatively high time varying parameters, the implementation of this control law requires the knowledge of parameters's values at each sample time which is not always...
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