A. Bradshaw

Design of dead-beat controllers and full-order observers for linear multivariable discrete-time plants

Abstract In this paper a method based upon the use of the Brunovsky canonical form (Brunovsky 1966) is presented for the design of controllers and full-order observers for a class of linear multivariable discrete-time plants with inaccessible state vectors

Multivariable time-invariant linear systems with input-derivative control: state controllability and eigenvalue assignability†

Abstract Necessary and sufficient conditions for the state controllability of multivariable time-invariant linear systems with input-derivative control are derived. The conditions ore expressed explicitly in terms of the plant and input matrices associated with systems of this class. The relationship between state controllability and eigenvalue assignability for such systems is also discussed

Modal control of a class of distributed-parameter systems: multi-eigenvalue assignment†

In a previous paper (Porter and Bradshaw 1972) the theory of the modal control of lumped-parameter systems was extended to embrace the modal control of a class of distributed-parameter systems. This extension, however, was restricted to the development of a theory for the assignment of only one real eigenvalue. In this paper, the theory for the assignment of more than one eigenvalue for this class of distributed-parameter systems is presented.

Modal control of a class of distributed-parameter systems†

The theory of the modal control of lumped-parameter systems is extended to embrace the modal control of a class of distributed-parameter systems. In the interests of perspicuity, this extension is restricted in the present paper to the development of a theory for the assignment of only one real eigenvalue. The practical implementation of theoretically derived modal control laws is discussed and numerical results relating to the modal control of a system governed by a one-dimensional diffusion equation are presented by way of example.

Nilpotency properties of linear multivariable discrete-time tracking systems

In this paper the nilpotency properties of deadbeat linear multivariable discrete-time tracking systems incorporating full-order or reduced-order observers for plants with accessible or inaccessible states are investigated. The theory is illustrated by the presentation of the results of computer simulation studies which indicate that the presence of an observer affects only the transient behaviour of deadbeat discrete-time tracking systems and that, the use of a reduced-order observer results in markedly superior transient behaviour than the use of a full-order observer.

Design of linear multivariable discrete-time tracking systems for plants with inaccessible states

In this paper a basis is developed for the systematic design of linear multivariable discrete-time tracking systems for plants with inaccessible states, which thus extends the results for discrete-time plants with accessible states previously obtained by Bradshaw and Porter (1975). The design method is illustrated by the presentation of the results of computer simulation studies.

Design of linear multivariable continuous-time tracking systems for plants with inaccessible states

In this paper a basis is developed for the systematic design of linear multivariable continuous-time tracking systems for plants with inaccessible states which thus extends the results for continuous-time plants with accessible states previously obtained by Porter and Bradshaw (1974). The design method is illustrated by the presentation of the results of computer simulation studies.

Design of error-actuated controllers for multivariable plants with unknown dynamics and immeasurable outputs

It is shown that, for a large class of multivariable plants, the design of error-actuated controllers which ensure that excellent set-point tracking occurs simultaneously with disturbance rejection can be readily effected even though the detailed dynamical properties of the processes involved are unknown and the controlled outputs are unmeasurable. The theory is illustrated by the design of analogue and digital controllers for a modern gas-turbine engine.

Modal control of distributed-parameter vibratory systems

In two previous papers (Porter and Bradshaw 1972, and Bradshaw and Porter 1972) the theory of the modal control of lumped-parameter systems was extended to embrace the modal control of a class of distributed-parameter systems governed by partial -differential equations of the diffusion type. In this paper, the theory of modal control is extended to embrace partial differential equations of the wave type.

Eigenvalue assignment in multivariable linear systems with input-derivative control†

Abstract Modal control theory is extended so as to embrace eigenvalue-assignment in multi-variable time-invariant linear systems with input-derivative control. Explicit control laws for both single- and multi-input systems of this class are presented