Digital control of a second-order linear afc system with a large time delay
Construction and nonlinear aspects of phase- locked-loop and automatic frequency control systems - digital controller for second order system with time lag
PHASE LOCK↗
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Results for “linear systems”
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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Minimization of sensitivity with stability constraints in linear control systems.
Stability and sensitivity requirements considered simultaneously in control system design, minimizing time domain sensitivity index and incorporating transient response characteristics
SYSTEM STABILITY↗
The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations.
Extension of problem of singular perturbation for linear scalar constant coefficient differential- difference equation with single retardation to several retardations, noting degenerate equation solution
LINEAR EQUATION↗
Minimization of sensitivity with stability constraints in linear control systems.
Stability and sensitivity requirements considered simultaneously in control system design, minimizing time domain sensitivity index and incorporating transient response characteristics
SENSITIVITY↗
Research in the general area of non-linear dynamical systems Final report, 8 Jun. 1965 - 8 Jun. 1967
Nonlinear dynamical systems research on systems stability, invariance principles, Liapunov functions, and Volterra and functional integral equations
Hermes, H.↗
Suboptimal design of linear regulator systems subject to computer storage limitations
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Kleinman, D. L.↗
Minimum fuel control of linear stochastic systems with applications to midcourse guidance
Minimum fuel control for discrete time Gaussian processes, applying results to spacecraft midcourse guidance for earth-Mars mission
Deyst, J. J.↗
Direct methods for the solution of systems of linear equations with sparse coefficient matrix and related topics Final report, 1 Dec. 1967 - 31 Aug. 1970
Deriving algorithms for computations involving sparse matrices
Tewarson, R. P.↗
Input-output properties of linear time- invariant systems
Input-output properties of feedback systems based on linear time invariate systems
Desoer, C. A.↗
The state space and transfer function approaches in practical linear multivariable systems design.
A procedure using transfer function formalism for stabilizing a multivariable feedback system with significant plant uncertainty is presented. The method shapes nominal loop functions and decreases their magnitudes with frequency in such a manner that the system remains stable throughout the plant uncertainty range. An example illustrates the application of the described procedure.
Shaked, U.↗
A direct approach to the design of linear multivariable systems
Design of multivariable systems is considered and design procedures are formulated in the light of the most recent work on model matching. The word model matching is used exclusively to mean matching the input-output behavior of two systems. The term is used in the frequency domain to indicate the comparison of two transfer matrices containing transfer functions as elements. Design methods where non-interaction is not used as a criteria were studied. Two design methods are considered. The first method of design is based solely upon the specification of generalized error coefficients for each individual transfer function of the overall system transfer matrix. The second design method is called the pole fixing method because all the system poles are fixed at preassigned positions. The zeros of terms either above or below the diagonal are partially fixed via steady state error coefficients. The advantages and disadvantages of each method are discussed and an example is worked to demonstrate their uses. The special cases of triangular decoupling and minimum constraints are discussed.
Agrawal, B. L.↗
The exact solution of systems of linear equations with polynomial coefficients
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Mcclellan, M. T.↗
Synthesis of a non-linear feedback system with significant plant-ignorance for prescribed system tolerances
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Krishnan, K. R.↗
Analytical method for determining the stability of linear retarded systems with two delays
The stability is considered of the solution differential-difference equations of the retarded type with constant coefficients and two constant time delays. A method that makes use of analytical expressions to determine stability boundaries, and the stability of the system, is derived. The method was applied to a system represented by a second-order differential equation with constant coefficients and time delays in the velocity and displacement terms. The results obtained is in agreement with those obtained by other investigators.
Barker, L. K.↗
Response of linear dynamic systems with random coefficients
Numerous models of physical systems contain parameters whose values are not known exactly. The physical and mathematical complexities arising in the prediction of the statistical behavior of such systems are discussed. Although the discussions are far from providing a satisfactory solution to such problems, they perhaps, by utilization of simple examples, will create a greater awareness of the statistical effect of random parameters.
Dickerson, J.↗
Effect of coefficient changes on stability of linear retarded systems with constant time delays
A method is developed to determine the effect of coefficient changes on the stability of a retarded system with constant time delays. The method, which uses the tau-decomposition method of stability analysis, is demonstrated by an example.
Barker, L. K.↗
An application of the square root information filter to large-scale linear interconnected systems
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Bierman, G. J.↗
An application of the square root information filter to large scale linear interconnected systems
It is demonstrated that use of the square root information filter (SRIF) can reduce the storage and computation required for estimation of certain classes of large-scale interconnected systems. The SRIF uses an information array that is related to the Kalman filter covariance and estimate. The SRIF algorithm, which is optimal, is a direct application of matrix partitioning to some optimal filtering algorithms described in the literature. The SRIF algorithm is able to reduce the storage requirements of a 40-subsystem 10-state problem by a full order of magnitude.
Bierman, G. J.↗