Continuous Linear Time-invariant Systems Research Articles

Algebraic Approach to Deadbeat Control of Multivariable Linear Time-Invariant Continuous Systems

A new algebraio method for deadbeat control of multivariable linear time-invariant continuous systems is presented. This method enables us to find a feedback gain matrix and a piecewise-constant oontrol input vector such that the output vector of the closed-loop system is identical with given reference input vector for t≥dT where d=maxi, di - Kroneoker index and T is a given sampling period. The method is very practicable for computer aided design and illustrated by a two-input two-output linear time-invariant systems.

Optimal observers with specified eigenvalues

A procedure for designing an optimal observer for a linear continuous time invariant system is described in this paper. The parameters of the observer are chosen so as to assign its eigenvalues to desired locations and at the same time a measure of the deviation of the estimate of the observed state from its actual value is minimized, A numerical example is included to show that the estimate of the state obtained by the optimal observer is much closer to the actual state than the estimate obtained from another observer with the same eigenvalues as the optimal observer.

On the realization of a class of linear systems

A technique for the realization of linear continuous time-invariant systems from the given transfer function matrix is proposed.

On minimal-order inverses of linear continuous time-invariant systems

Minimal-order inverses of a linear continuous time-invariant system are defined and an algebraic algorithm for constructing them is presented. A necessary and sufficient condition for the applicability of the algorithm is shown to be the same as that for the invertibility of the given system. Some important properties of the minimal-order inverses relevant to the design of linear multivariable systems are derived. In particular the characteristic polynomials of all minimal-order inverses of a given system are shown to be identical and invariant under duality, coordinate transformations and proportional state feedback.

A controllability criterion for continuous linear time-invariant systems

A controllability criterion is suggested referring to the numerator coefficients of the input/state transfer functions. The criterion is comparable to the usual one from a computational point of view, and it seems to be useful from a didactic point of view because it can be proved in a very simple way.

Preservation of controllability under sampling

In this paper we consider sampled-data systems realized by linear time-invariant continuous systems whose inputs are piecewise constant. The problem dealt with is the following : assuming that the ...

Transfer function matrix identification

A method is presented for identifying the transfer function matrix of a multi-input multi-output finite-dimensional continuous linear time invariant system from input-output observations in the presence of arbitrary initial conditions. A simple and efficient scheme is provided to handle these unknown initial conditions. The method avoids signal differentiation through the use of multiple integration. A set of equations, linear in the unknown parameters of the system transfer function matrix, are formed using the integrated values of inputs and outputs for different values of time. These equations are modified so as to yield an efficient method for computing the system parameters in the presence of additive measurement noise.

δ state controllability by admissible controls for linear time-invariant systems

The necessary and sufficient conditions for a linear time-invariant continuous system to be δ state controllable by admissible controls are developed. The corresponding conditions for a linear time-invariant discrete system are stated without proof.

A note on δ state controllability by admissible controls †

The necessary and sufficient conditions for linear time-invariant continuous system to be δ state controllable by admissible controls are developed.