This paper discusses a design of nonlinear observer by a formal linearization method using an application of Chebyshev Interpolation in order to facilitate processes for synthesizing a nonlinear observer and to improve the precision of linearization. A dynamic nonlinear system is linearized with respect to a linearization function, and a measurement equation is transformed into an augmented lin...

Recent developments in optimal observer design for dynamic positioning have led to application of contraction analysis. In this paper a theoretical method for nonlinear optimal observer design and a suboptimal observer using a state-dependent Riccati equation approach are presented. The observer will be compared to an existing observer and its properties and performance is discussed. Early obse...

e-mail. [email protected] Abstract A nonlinear observer for a general class of singleoutput nonlinear systems is proposed based on a generalized Dynamic Recurrent Neural Network (DRNN). The Neural Network (NN) weights in the observer are tuned on-line, with no off-line learning phase required. The observer stability and boundness of the state estimates and NN weights are proven. No exact knowle...

This paper investigates the problem of observer design for a class of nonlinear systems with timedelay and uncertain nonlinearity. Firstly, using the Mean-value Theorem and combining constructing the Lyapunov-Krasovskii functional, the convergence conditions of nonlinear observer for a class of nonlinear systems with time-varying delay and uncertain nonlinearity are established in terms of a li...

ph control is a challenging problem due to its highly nonlinear nature. in this paper the performances of two different adaptive global linearizing controllers (glc) are compared. least squares technique has been used for identifying the titration curve. the first controller is a standard glc based on material balances of each species. for implementation of this controller a nonlinear state est...

The paper proposes a method for observer design for a class of nonlinear systems. We decompose the system using a weaker concept than the relative degree. We provide sufficient conditions for global asymptotic stability of the error dynamics. The observer design is carried out by means of a change of coordinates combined with a high gain technique. In particular, our approach results in an obse...

This paper investigates the exponential observer problem for the Lotka-Volterra (L-V) systems. We have applied Sundarapandian’s theorem (2002) for nonlinear observer design to solve the problem of observer design problem for the L-V systems. The results obtained in this paper are applicable to solve the problem of nonlinear observer design problem for the L-V models of population ecology in the...

This paper proposes two methods for nonlinear observer design which are based on a partial nonlinear observer canonical form (POCF). Observability and integrability existence conditions for the new POCF are weaker than the well-established nonlinear observer canonical form (OCF), which achieves exact error linearization. The proposed observers provide the global asymptotic stability of error dy...

°Institute of Industrial Science, University of Tokyo 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan This paper proposes a nonlinear observer for Body Slip Angle (β) estimation, in which a nonlinear tire model is adopted for the observer design. A newly developed method to identify parameters of road surface friction coefficient (μ) is introduced into this observer, which makes the observer ada...

We present a nonlinear observer for continuous time dynamic system with state delay, and randomly missing measurements. Using the Lyapunov energy (LE) functional, we derive sufficient conditions for the local asymptotic stability for the observer state error equations. The observer performance without and with missing measurements is evaluated by simulations implemented in MATLAB. The results v...