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Based on the discussion about the existence and design method of full-order observer for systems with monotone nonlinearities,a reduced-order observer design method is developed under the assumption that a linear matrix inequality(LMI) has positive definite matrix solution and the reduced-order observer gain matrix is computed by the solution of LMI.By a linear transformation,a reduced-order observer which does not contain the information of the derivative of the system output is provided. A model is simulated and some conclusions are drawn based on the comparison of the results of reduced-order observer to that of full-order observer.The simulation shows that the design method developed by this paper has good performance.
Based on the discussion about the existence and design method of full-order observer for systems with monotone nonlinearities, a reduced-order observer design method is developed under the assumption that a linear matrix inequality (LMI) has positive definite matrix solution and the reduced- order observer gain matrix is computed by the solution of LMI.By a linear transformation, a reduced-order observer which does not contain the information of the derivative of the system output is provided. A model is simulated and some conclusions are drawn based on the comparison of the results of reduced-order observer to that of full-order observer. The simulation shows that the design method developed by this paper has good performance.