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A linear observer-controller is developed to implement regulation of a linear system where a priori constraints are specified on the controller and observer gain matrices. The compensator's gain matrices are generated through the solution of matrix differential equations. Conditions are developed to examine whether or not a regulation accuracy specification can be met with a class of constant gain-constrained...
This paper considers a special class of hybrid systems, whose state space is a cross-product space of an Euclidean space and a finite-state space. Such models may be used to represent systems subject to known abrupt parameter variations, such as commutated networks. They may also be used to approximate some types of time-varying systems. The paper investigates controllability, observability, and stability...
A state feedback control law for a class of linear dynamic systems termed differential unit memory linear multipass processes is defined. Further, the design of this law for closed-loop stability is considered. In particular, a recently developed computationally feasible stability test is used to present some preliminary work on this problem.
Strong system equivalence, proposed by Anderson, Coppel and Cullen [5], [6], and full system equivalence, proposed by Hayton, Walker and Pugh [7], [8], are transformations of general polynomial system matrices which preserve the finite and infinite poles and zeros and the transfer functions of the systems they relate. This paper shows that they are different characterisations of the same relationship.
In this paper, the possible time invariant system equivalents to periodic ones, either in continuous-time or discretized form are considered. First, the well known Floquet-Lyapunov theorem and his application is summarized. The relation between continuos-time and discretized models allow us to propose an algorithm for the computation of time-invariant equivalents to any linear continuous time periodic...
A multivariable controller has been implemented to control reaction severity of the FCCU feed hydrotreater unit at the Houston, Texas refinery of Lyondell Petrochemical Company (a division of Atlantic Richfield) The controller uses four manipulated variables to control three dependent variables. Three feedforward variables are also included in the controller design, and the limits of three additional...
A non-linear predictive controller with on-line correcting capabilities has been experimentally demonstrated for the control of power on the 5 MWt MIT Research Reactor. This controller was designed using state-variable feedback techniques modified for use with a non-linear system. Designated as the MIT Predictive Correcting State-Variable Feedback Controller (PCSFC), it is capable of matching a variety...
This paper describes a procedure to design optimum compensators using proportional-minus-delay (PMD) action for second and third-order feedback systems. When the feedback compensator was implemented by means of PHD action, the output performance of the resulting closed-loop system was better in the sense of the ITAE index than that of the same system which employed a proportional-plus-derivative action...
A research program for integrating artificial intelligence (AI) techniques with tools and methods used for aircraft flight control system design, development, and implementation is discussed. The application of the AI methods for the development and implementation of the logic software which operates with the Control Mode Panel (CMP) of an aircraft is presented. The CMP is the pilot control panel...
A flexible and powerful expert system framework, called blackboard architecture, is proposed for tackling real-time control problems. It is believed that this blackboard architecture can provide an environment for achieving intelligent control behaviours in AI systems. A brief description of the blackboard architecture is given. The potential and usefulness of this structured framework is examined...
This paper discusses simulation of structural response of multi-flexible-body systems by linearized flexible motion combined with nonlinear rigid motion. Advantages and applicability of such an approach for accurate simulation with reduced computational costs and turnaround times are briefly described, restricting attention to a control design environment. Requirements for updating the linearized...
This paper contains a discussion of a new methodology for employing, on a desktop computer, computerized symbol manipulation for formulating explicit equations of motion and writing complete FORTRAN simulation programs for multibody systems. The approach is based on Kane's dynamical equations and its underlying concept is to use the computer to mimic the step-by-step process a human analyst undertakes...
Digital synthesis of continuous systems via classical Z-transformation method is compared with its modern state space based counterpart, which is an equivalent sample data discrete system.
Recently, various LQG design schemes have evolved to improve the robustness of an uncertain plant. In this paper, a SISO example system is used to compare parameter robustification capabilities of the Maximum Entropy robustified compensator design with 1) the Linear Quadratic Gaussian with Loop Transfer Recovery design technique, and 2) the Parameter Robust Linear Quadratic Gaussian synthesis method...
Singular systems of the form E?? = f(x, u, t) are considered tractability is defined, a sufficient condition for tractability is derived, the maximum principle for optimal control problem is obtained, the properties of the Hamilton function and the forms of the functional are discussed, and two examples are given.
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