Abstract: A complete solution to the problem of "exact model matching" for finite-dimensional linear time-invariant systems is given. This problem consists in finding a state feedback law for a given system which makes the overall system transfer function exactly equal to a given transfer function.

Abstract: This note presents a method for approximating a high-order linear-system transfer function by a low-order model. The method developed is based on the requirement that the magnitude ratio of the frequency responses of the model and the original system deviate the least at various frequencies. In selecting the order and structure of the model, one has the flexibility of prefixing certain poles and zeros in the model transfer function.

Abstract: Extending the application of transfer function cancellation or compensation via a separate filter to the sensormedia regime itself; with the objective of cancelling out sensor response time lags This is achieved by first analyzing the transfer function of the sensor-media combination of interest, then synthesizing a filter that essentially cancels out that transfer function Prior filter (electronic, mechanical, etc) art has presumed the output of a sensor or transducer to be the reference input for all practical purposes of analysis and synthesis To rapidly and practically derive this transfer function, the inventor has developed a graphical technique that directly extracts exponential terms from time-response data plotted on semilogarithmic graph paper, thereby directly yielding terms of the corresponding transfer function; ie, Laplace transform of response as a function of time The effective cancellation of heretofore-accepted sensor response-time limitations, makes possible drastic reductions in measurement and system response times, where these response times are primarily limited by the mechanical, electronic, acoustic, thermodynamic, or particle limitations of the sensors or transducers employed

Abstract: The problem of synthetising a specified transfer function between an input-output pair by pole-zero assignment using unity-rank feedback is considered. Relationships are derived which show explicitly the effect of unity-rank feedback on the transfer function between a given input and output, and an algorithm is presented for approximating the desired transfer function in a recursive manner.

Abstract: A new design procedure for linear systems is proposed to find the feedback vector and the weighting matrix of a quadratic performance index, which can be directly determined by the characteristic equations of the open- and closed-loop system, in order that the performance index is minimised and that the closed-loop system can achieve a set of prescribed poles.

Abstract: Apparatus and methods are disclosed which allow the critical frequencies (poles and zeros) to be independently controlled by applying state-variable feedback techniques to both the external and internal ports of an arbitrary linear, passive, and time-invariant network (system). There are no limitations on the locations of either the poles or zeros and the invention allows the generation of RC, RL, LC, and RLC and nonpositive real driving-point impedances and transfer functions from active RC networks. Therefore, if one fabricated any transfer function with these active driving-point impedances, pole-zero control will be achieved for the transfer function.

Abstract: A simple algorithm is proposed for constructing a realization of a dynamical system described by means of its transfer function matrix with multiple poles. The dimension of the realization is smaller than or at the most equal to the lesser of the one obtained from techniques proposed by Glass [2] and Lal et al. [3].

Abstract: A design procedure is proposed to find the feedback vector, such that the closed-loop system achieves a set of prescribed poles. Based on normalised systems, the feedback vector can be directly expressed by the poles of the open- and closed-loop system.

Abstract: A general theory is presented for the compensation of completely controllable, completely observable linear constant systems as in eqns (1) and (2) of this paper. A Kalman observer is used to generate the state variables from the inputs and outputs of the system. State variable feedback is used as the design approach, but the Kalman observer states are used instead of the system states, which are assumed to be internal to the system, and not available for feedback to the system inputs. The system outputs are found to depend on three different transfer functions; the poles of each may be shifted at will by the designer, while the zeros may be invariant. The steady-state input-output transfer function for the closed-loop compensated system has n poles which are chosen by the designer to be anywhere in the complex plane in complex-conjugate pairs or real locations, whilst the single input-output system zeros are invariant. There are two transient responses, one due to the plant initial conditions, and the ot...