Linear Functional Observers Research Articles

Linear function observers of mixed-type

In this paper a new type of function observers is introduced, in which noisy components of the observation output can be excluded from the static part of the estimation scheme. This type of observer, called a mixed-type observer in this paper, exhibits a better noise performance compared with the conventional Luenberger observer. A simple algorithm for designing mixed-type observers with arbitrarily prescribed poles is derived, as well as an evaluation of its minimal order. Some numerical examples are illustrated in order to show the feasibility of the algorithm.

Computer control of a double inverted pendulum

A double inverted pendulum is successfully stabilized at the upright position by using a computer control. The control system is designed based on the state space approach by using a computer aided design program named CADOS developed for this purpose. CADOS was used not only for the analysis and design, but also for the simulation to evaluate the designed system. The controller designed consists of the state variable feedback and the observer. The state variable feedback is determined based on either pol-locations or as the optimal control for the quadratic criterion function. As the observer, the minimal order state observer or a linear functional observer is employed, and it is theoretically proved that the linear functional observer for a multiple inverted pendulum can always be realized by the first order. The designed controller is implemented in the mini-computer used for CADOS and could work satisfactorily. The controller using a linear functional observer requires less computation time and controls the system in more stable way.

汎関数オブザーバの正準形と最適設計

汎関数オブザーバの正準形と最適設計

Linear function observer with possibly minimal dimension

This technical note presents a procedure to design a linear function observer with possibly minimal dimension. The procedure is based on Gopinath's algorithm and minimal realization. A necessary and sufficient condition is also derived for the observer with specified poles.

Linear function observer for linear discrete-time systems

The problem of estimating the value of a linear function of the state deterministically is considered for a finite-dimensional linear time-invariant discrete-time system. A procedure is stated for constructing a minimum-time linear function observer, i.e., an observer which begins to produce the errorless estimate in minimum-time.

An introduction to observers

Observers which approximately reconstruct missing state-variable information necessary for control are presented in an introductory manner. The special topics of the identity observer, a reduced-order observer, linear functional observers, stability properties, and dual observers are discussed.

The Parameterization of all Disturbance Observers for Time-Delay Plants with any Input and Output Disturbances

In this paper, we examine the parameterization of all disturbance observers for time-delay plants with any input and output disturbances. The disturbance observers have been used to estimate the disturbance in the plant. Several papers on design methods of disturbance observers have been published. Recently, the parameterization of all disturbance observers for plants with any input and output disturbances was clarified. However, no paper examines the parameterization of all disturbance observers for time-delay plants with any input and output disturbances. In this paper, we propose parameterizations of all disturbance observers and all linear functional disturbance observers for time-delay plants with any input and output disturbances.