Deadbeat Controller Design Research Articles

A Design of Continuous Deadbeat Controller and Its Application to Speed-control of the Induction Motor

In this paper, we propose a new design method of continuous deadbeat control system without using delay-element, and apply it to a speed control of the current type inverter-induction motor system.The dynamic characteristic of the system is expressed by the step or impulse response, then the deadbeat control signal which designed to minimize the quadratic form of the input and output errors can be easily obtained by the matrix computation using sampled data of these responses.The method of designing the continuous deadbeat controller which composed of both the pre-compensator and state feedback compensation is derived by use of the sequence of the deadbeat control signal.An actual continuous deadbeat controller is constructed by the microprocessor and it is found from experimental results that the speed control system proposed here gives stable operations and good transient performances for the step change of the desired value and disturbance.

Optimum dead-beat controller design for SISO systems using time-weighted performance indices

An analytical method for the design of optimum digital controllers for SISO systems that exhibit dead-beat response to polynomial type inputs is proposed. The optimization is performed through the minimization of the sum of the time-weighted squared errors (STWSE) of the step response. This criterion attaches little importance to initial errors and places emphasis on long-duration transients, provided that the weighting function is monotonously increasing with time, thus offering a good tracking performance to complex inputs. The cases where the system exhibits dead-beat response to ramp and to parabolic inputs are considered, and the response to a complex input is also examined.

Design of dead beat controller for electrohydraulic speed servo system

This paper deals with the control methods of electro-hydraulic speed servo control system with large power which is used in the aeroplane engine simulating rig. In order to obtain the fast response characteristics in the system, the dead beat control method combined with the fuzzy control is adopted by means of the simplified first-order and second-order mathematical models are established, and control experiments is carried out. The experimental results show that the satisfactory response characteristics are obtained by using the dead beat control method combined with the fuzzy control with the second-order model.

Improvement of Reference Tracking Capability of Digital Motion Control Systems

Good reference trajectory tracking is required in many applications. In this paper it is shown how to design the application of reference speed and velocity to a positioning system in order to introduce zeros into the transfer function. These zeros are of equal importance for system dynamics as the poles. System peformance is shown for a dead beat controller design and for pole placement and quadratic criteria minimization for continuous and discrete design. Good reference tracking is necessary to specify controller power by the shape of the reference trajectory.

Deadbeat Control in Consideration of the Continuous-Time Transient Response

While most researches study sampled-data systems from the discrete-time system viewpoint, their actual responses are continuous-time functions so that their performance must be evaluated not only at sampled instants but also during intersample periods. This paper studies a method of ripple-free deadbeat control design for sampled-data systems taking into account the continuous-time transient response. The indicial response is obtained so as to minimize the mean square error performance index.

The design of deadbeat controllers by state transition graph

Two kinds of deadbeat control problems are considered. One is the state deadbeat control problem and the other is the pointwise minimum-time deadbeat control problem. A simple graph called the state transition graph of a matrix is introduced, and simple algorithms based on it giving deadbeat controllers are presented. The set of pointwise minimum-time deadbeat controllers is characterized. The set of output feedback deadbeat controller is also considered.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

On the link between generalized predictive control and deadbeat control for linear multivariable systems

This paper studies a special case on multivariable generalized predictive control (GPC) in which a deadbeat controller is obtained. It is shown that the multivariable GPC design can be made to be equivalent to the deadbeat control design by certain choices of the design parameters. The proposed procedure needs the introduction of different control horizons for different inputs. A tuning strategy is used to achieve deadbeat control for real-time implementation.

Minimum-gain minimum-time deadbeat controllers

This paper considers the design of minimum-gain minimum-time deadbeat controllers (MGMTDC) for linear discrete-time systems. A new direct method for constructing the MGMTDC of minimum Frobenius norm is developed. Compared with many existing techniques, the proposed method gives analytic expressions for the constructed MGMTDC, requires less computational effort, and does not require that the transition matrix be nonsingular.

Algebraic method for the design of output deadbeat controller

Based on the deadbeat model approach and the technique of output spectra matching, an algebraic method for the design of an approximate deadbeat controller with a specified configuration has been proposed. The chosen controller is determined by solving a set of simultaneous algebraic equations. One example is given to show the characteristic features of this approach.

Simple method for two-dimensional deadbeat controller design from N ˙ M impulse response values

An alternative method for two-dimensional deadbeat controller design from N ˙ M impulse response values is presented. An algorithm for finding the controller equations is given and illustrated by a simple numerical example.

Algebraic method for the design of output deadbeat controller

Based on the deadbeat model approach and the technique of output spectra matching, an algebraic method for the design of an approximate deadbeat controller with a specified configuration has been proposed. The chosen controller is determined by solving a set of simultaneous algebraic equations. One example is given to show the characteristic features of this approach.

インパルス応答を用いた多入出力系の有限整定応答ディジタル制御装置の設計

インパルス応答を用いた多入出力系の有限整定応答ディジタル制御装置の設計

A systematic design of state deadbeat controllers.

This paper discusses a systematic design of a state deadbeat controller for a discrete-time linear time-invariant system. A general form of the state deadbeat controller is obtained, and the freedom of design is shown explicitly. All possible nilpotent Jordan matrices which are similar to the feedback system matrix are derived, and then all possible finite settling times are obtained. The optimal state deadbeat controller is obtained by minimizing the overshoot of the transient response. Finally, illustrative examples are given to show the effectiveness of the proposed design method.

Multipurpose deadbeat controllers for multivariable systems

A simple and direct deadbeat control design algorithm for discrete-time multivariable systems is introduced. Our brief was to synthesize a realizable controller to achieve the following objectives: (1) input-output decoupling, (2) deadbeat tracking of any prespecified class of changeable deterministic reference signals and (3) changeable deterministic disturbances rejection where the changeable reference signals and disturbances can be different at each channel. Since the internal stability requirement is satisfied, our design algorithm can easily handle both unstable and non-minimum phase systems. Some constraints on the transfer function are also derived to make sure that the derived controller is realizable. Since all solutions can be described in parametric form, some of the performance criteria can be combined.

Multipurpose deadbeat controller synthesis in m-dimensional discrete multivariable systems

In this paper, a more general deadbeat controller design algorithm for the m-dimensional discrete-time multivariable system is introduced. Since the internal stability requirement is achieved, this algorithm can easily handle any stable or unstable minimum or nonminimum phase m-dimensional system. A simple technique is employed to achieve the following design purposes in the m-dimensional discrete-time multivariable feedback systems: (i) input—output decoupling; (ii) reference signal tracking and disturbance rejection where reference signals and disturbances can be different at each channel; (iii) deadbeat response with minimum space interval. An example is given to illustrate the validity of the proposed method.

Deadbeat Self Tuning Controllers

Abstract The design of deadbeat self tuning controllers is discussed. Two types of models - a nonparametric (impulse response) and a parametric (ARMA) one are applied. The nonparametric model is estimated by the correlation method while the estimates of the parametric model are obtained using a modified recursive instrumental variables method. Both approaches are poorly developed because of the difficulties in obtaining consistent estimates in closed loop. To remove these difficulties the application of an additional measurable signal at the process input with white noise characteristics is proposed. Two approaches for determining the coefficients of the controller depending on the type of the model (nonparametric or parameteric) are proposed. The algorithms worked out in this paper take into account restrictions of the manipulating variable and provide a finite settling time. Experimental investigations of the proposed algorithms are carried out on digital simulated close loop system with different models of the process. The experimental results of the deadbeat self-tuning controllers applied to stationary as well to nonstationary processes show the good properties of the considered methods and computational procedures.

Exact Deadbeat Controller Design From N Impulse Response Samples

A simple method is given for the design of exact deadbeat regulators and PI controllers when only N impulse or step response samples from the process are available. It is required that the process be linear, controllable, observable, time invariant, and that N≥2n, where n is the degree of the process. It is not required that the process be open-loop stable, in distinction with previously-given simple methods. This makes it easy to include any number of integrations in the controller to achieve steady-state tracking properties of arbitrary type.

On the design of a sensitivity-reducing optimal dead-beat controller

A method is proposed for the design of constant-gain feedback-control laws for linear multivariable discrete-time systems which reduce trajectory sensitivity to small system parameter variations and ensure the closed-loop eigenvalues at the origin. The given quadratic index of performance including a sensitivity term is minimized in an average sense. An efficient computational procedure based on direct cost optimization using gradient type algorithm is also reported. An example is worked out to illustrate the proposed technique.

インパルス応答を用いた最適有限整定応答制御装置の設計

インパルス応答を用いた最適有限整定応答制御装置の設計

Comments on "Design of optimal dead-beat controllers"

It is shown that the system considered in the numerical example of the above paper belongs to a class of systems (with n states and r inputs) for which the set of all minimum-time dead-beat (MTDB) controllers is parameterized by an arbitrary matrix of order [(\lambda + 1)r - n]x[n - \lambda r] where λ is the greatest integer less than the ratio n/r . Since the example treats the case of n = 3, r = 2 , the MDTB controller is parameterized by a single scalar element.