A wide-range multi-input pulse height recording system
Wide range multi-input pulse height recording system
PHOTOMULTIPLIER↗
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On pole assignment in multi-input controllable linear systems
Pole assignment in multi-input controllable linear systems
CONTROL STABILITY↗
Wide-range multi-input pulse height recording system.
Multi-input photomultiplier pulse height photographic recording system using dual beam oscilloscope for cosmic ray experiments
PHOTOMULTIPLIER↗
On pole assignment in multi-input controllable linear systems.
Equivalence of controllability and pole assignability in finite dimensional dynamic systems with real valued parameters
Wonham, W. M.↗
Multi-input, multi-output regulator design for constant disturbances and non-zero set points with application to automatic landing in a crosswind
Undesirable steady offsets result when a stationary, linear regulator using state feedback is subjected to constant disturbances and/or non-zero setspoints. To eliminate these offsets, the disturbances and non-zero setpoints can be fed forward to the control. Only when the number of outputs is less than or equal to the number of control inputs can the outputs be maintained at arbitrary non-zero setpoints. The state and the disturbance may be estimated using a constant gain Kalman filter or by modeling the constant disturbances as exponentially correlated processes with long correlation times.
Holley, W. E.↗
On the interaction structure of linear multi-input feedback control systems
The closely-related problems of designing reliable feedback stabilization strategy and coordinating decentralized feedbacks are considered. Two approaches are taken. A geometric characterization of the structure of control interaction (and its dual) was first attempted and a concept of structural homomorphism developed based on the idea of 'similarity' of interaction pattern. The idea of finding classes of individual feedback maps that do not 'interfere' with the stabilizing action of each other was developed by identifying the structural properties of nondestabilizing and LQ-optimal feedback maps. Some known stability properties of LQ-feedback were generalized and some partial solutions were provided to the reliable stabilization and decentralized feedback coordination problems. A concept of coordination parametrization was introduced, and a scheme for classifying different modes of decentralization (information, control law computation, on-line control implementation) in control systems was developed.
Wong, P. K.↗
Local transformations for multi-input nonlinear systems
In this paper Brockett's feedback invariants of nonlinear systems are generalized to a larger class of transformations. In terms of these invariants, the recent results on linear equivalents of nonlinear systems to the multiple-input case have also been extended.
Hunt, L. R.↗
An improved general algorithm for arbitrary pole assignment.
A new pole-placement algorithm for multi-input controllable systems is presented. The algorithm can be used to obtain real-valued feedback gains for arbitrarily specified real and complex, distinct or multiple eigenvalues. The multi-input controllable time-invariant system is converted to a single-input system. Pole assignment is achieved by making use of certain properties of the equation TF - AT = D, where A is the open-loop system matrix and F represents a matrix having the desired closed-loop eigenvalues.
Willner, L.↗
Neighboring optimal feedback control of multi- input nonlinear dynamical systems using discontinuous control
Neighboring optimal feedback control of multi-input nonlinear dynamic systems
Fluegge-Lotz, I.↗
The inverse problem of the optimal regulator.
The inverse problem of the optimal regulator is considered for a general class of multi-input systems with integral-type performance indices. A new phase variable canonical form is shown to be convenient for this analysis. The advantage of the canonical form is to separate the state variables into subvectors of directly controlled, indirectly controlled, and uncontrollable components. Necessary and sufficient conditions for optimized performance indices are given. With the nonlinearities of the system restricted to functions of the directly controlled state variables, additional results are developed about the nonnegative property of optimized loss functions.
Yokoyama, R.↗
Recursive identification and tracking of parameters for linear and nonlinear multivariable systems
The problem of identifying constant and variable parameters in multi-input, multi-output, linear and nonlinear systems is considered, using the maximum likelihood approach. An iterative algorithm, leading to recursive identification and tracking of the unknown parameters and the noise covariance matrix, is developed. Agile tracking, and accurate and unbiased identified parameters are obtained. Necessary conditions for a globally, asymptotically stable identification process are provided; the conditions proved to be useful and efficient. Among different cases studied, the stability derivatives of an aircraft were identified and some of the results are shown as examples.
Sidar, M.↗
On the design of optimal input signals in system identification
The problem of designing optimal inputs in the identification of multi-input multi-output linear systems with unknown time-varying parameters is considered using a Bayesian approach. A sensitivity index gives a measure of performance for the closed-loop system inputs. The computation of the optimal closed-loop mappings is shown to be a nontrivial exercise in stochastic control with no analytic solution, but optimal open-loop and affine laws yield much more tractable problems. For time-invariant systems, the sensitivity index considered is shown to be equivalent to the trace of the (strictly positive definite) information matrix associated with the system. Numerical examples are given. A Kalman filter is used to estimate the parameters. A necessary condition for the Kalman filter not to diverge when applying linear feedback is also given.
Lopez-Toledo, A. A.↗
Recursive identification and tracking of parameters for linear and non-linear multivariable systems
The problem of identifying constant and variable parameters in multi-input, multi-output, linear and nonlinear systems is considered, using the maximum likelihood approach. An iterative algorithm, leading to recursive identification and tracking of the unknown parameters and the noise covariance matrix, is developed. Agile tracking and accurate and unbiased identified parameters are obtained. Necessary conditions for a globally asymptotically stable identification process are provided; the conditions proved to be useful and efficient. Among different cases studied, the stability derivatives of an aircraft were identified and some of the results are shown as examples.
Sidar, M.↗
Closed-loop structural stability for linear-quadratic optimal systems
This paper contains an explicit parameterization of a subclass of linear constant gain feedback maps that never destabilize an originally open-loop stable system. These results can then be used to obtain several new structural stability results for multi-input linear-quadratic feedback optimal designs.
Wong, P. K.↗
Closed-loop structural stability for linear-quadratic optimal system
This paper contains an explicit parameterization of a subclass of linear constant gain feedback maps that will not destabilize an originally open-loop stable system. These results can then be used to obtain several new structural stability results for multi-input linear-quadratic feedback optimal designs.
Wong, P. K.↗
Closed-loop structural stability for linear-quadratic optimal systems
This paper contains an explicit parametrization of a subclass of linear constant gain feedback maps that will not destabilize an originally open-loop stable system. These results can then be used to obtain several new structural stability results for multi-input linear-quadratic feedback optimal designs.
Wong, P. K.↗
Minimal order observers for linear functions of the state vector
The problem of estimating linear functions of a state vector in a multi-input/output system is considered. A simple lower bound on the observer order with arbitrary eigenvalues is established. Algorithms to construct minimal-order stable (or arbitrary dynamics) observers are also outlined.
Srinathkumar, S.↗
Optimal Regulator Algorithms for the Control of Linear Systems
Control-theory design package, called Optimal Regulator Algorithms for Control of Linear Systems (ORACLS), aids in design of controllers and optimal filters for systems modeled by linear, time invariant differential and difference equations. ORACLS is particularly attractive rigorous tool for dealing with multi-input and multi-output dynamic systems in both continuous and discrete forms.
Armstrong, E. S.↗