Last edited by Kazishicage
Sunday, November 1, 2020 | History

2 edition of Optimal modal control of systems with confluent eigenvalues. found in the catalog.

Optimal modal control of systems with confluent eigenvalues.

S. T. Tei

Optimal modal control of systems with confluent eigenvalues.

  • 243 Want to read
  • 40 Currently reading

Published by University of Salford in Salford .
Written in English


Edition Notes

PhD thesis, Mechanical Engineering.

SeriesD11842/75
ID Numbers
Open LibraryOL19684784M


Share this book
You might also like
Establishing the nature of the psychological contract of Fujitsu Services site support staff working on a defence information technology contract.

Establishing the nature of the psychological contract of Fujitsu Services site support staff working on a defence information technology contract.

Combustion and ventilation air for boilers and other heat-producing appliances

Combustion and ventilation air for boilers and other heat-producing appliances

Virginia, to wit: General Assembly begun and held at the capitol in the city of Richmond, on Monday the fifteenth day of October ...

Virginia, to wit: General Assembly begun and held at the capitol in the city of Richmond, on Monday the fifteenth day of October ...

The Dioscuri

The Dioscuri

Elektra.

Elektra.

Trust funds of Winnebago Indians.

Trust funds of Winnebago Indians.

The effect of acetylsalicylic acid administration on metabolic, cardiovascular, and thermoregulatory function

The effect of acetylsalicylic acid administration on metabolic, cardiovascular, and thermoregulatory function

Department of Energy

Department of Energy

The rout of the muses

The rout of the muses

Precalculus

Precalculus

Made in the timber

Made in the timber

Chitral Varendra

Chitral Varendra

Quotations from the British poets. Being a pocket dictionary of their most admired passages. The whole alphabetically arranged according to the subjects.

Quotations from the British poets. Being a pocket dictionary of their most admired passages. The whole alphabetically arranged according to the subjects.

Practical methods for counting homeless people

Practical methods for counting homeless people

Green is beautiful

Green is beautiful

[Artificial fruit pack (large)].

[Artificial fruit pack (large)].

Optimal modal control of systems with confluent eigenvalues. by S. T. Tei Download PDF EPUB FB2

Optimal modal control of systems with confluent eigenvalues. Author: Tei, S. ISNI: Awarding Body: University of Salford Current Institution: University of Salford Date of Award: Availability of Full Text: Full text unavailable from EThOS. Because the order of the Jordan block matrix of the defective eigenvalues, m, is much smaller than that of the state matrix, n, i.e.,m ⪡n, the present modal optimal control procedure is very simple and reduces the computing effort for the complex system with large number of degrees of freedom.

A numerical example is given to illustrate and Cited by:   The modal control system given in Table 3 resulted. It is seen that the slowest eigenvalue of the modal system is twice as fast as that of the best multiloop system. Nevertheless the 'better' eigenvalue positions of the modal system did not result in a 'faster' system and the load rejection properties were even by:   For modal control of k pairs of eigenvalues in single-input systems, a sufficient condition for optimal design of control vector b which minimizes energy E is that the energy coefficient w^ be maximized subject to the constraint that ^b = 1 and that the matrix pair (A, b) satisfy the controllability by: Inversion-Based and Optimal Feedforward Control for Population Dynamics With Input Constraints and Self-Competition in Chemostat Reactor Applications J.

Dyn. Sys., Meas., Control (May ) Sizing Optimization of Pneumatic Actuation Systems Through Operating Point Analysis. Theory on control design methods traditionally focuses on domains reflected in the TC structure of CC2 (Control design, linear control systems, nonlinear control systems, optimal control, robust.

About the book The book provides an integrated treatment of continuous-time and discrete-time systems for two courses at postgraduate level, or one course at undergraduate and one course at postgraduate level. It covers mainly two areas of modern control theory, namely; system theory, and multivariable and optimal control.

The coverage of the former is quite exhaustive while that of latter 4/5(10). Framework for Optimal Control 1 Modeling Dynamic Systems 5 Optimal Control Objectives 9 Overview of the Book 16 Problems 17 References 18 2. THE MATHEMATICS OF CONTROL AND ESTIMATION 19 Sealars, Vectors, and Matrices 19 Sealars 19 Vectors 20 Matrices 23 Inner and Outer Products 25 Vector Lengths, Norms, and Weighted Norms Journal of Aerospace Information Systems; Journal of Air Transportation; Journal of Aircraft; Journal of Guidance, Control, and Dynamics; Journal of Propulsion and Power; Journal of Spacecraft and Rockets; Journal of Thermophysics and Heat Transfer; Browse All Journals; Browse All Virtual Collections; Books.

AIAA Education Series; Library of Flight. International Journal of Systems Science, 7(9): - [51 Andersson H., Linear-quadratic optimal control of production-inventory systems. Working paper. Department of Production Economics, Linking Institute of Technology, Sweden.

[61 Axser S., Aggregate control using parameters of the productioninventory control system. Eigenvalue assignment is addressed for multivariable control systems with eigenvalue multiplicity up to the order of the system. Additionally, the problem is subject to the condition of a minimum of these multiple eigenvalues and the controller norm as well.

The solution is presented as a state space or output controller. Zusammenfassung. Modal decomposition is one of the main applications of cFSM, and provides a powerful means for examining any individual or combined modes of interest.

Instead of solving the generalized eigenvalue problem in FSM, modal decomposition solves a reduced eigenvalue problem by introducing the constraint matrix to the original eigenvalue problem of FSM.

It is shown that, by adjusting the control penalty in the LQR solution, the eigenvalues of the relay-controlled system quickly converge to the system transmission zeros. gested the use of modal control as a design aid.

Modal control may be defined as control which changes the modes (i.e., the eigenvalues of the system matrix) to achieve the desired control objectives. This paper presents a complete and rigorous theory of modal control as well as recursive algorithms which permit modal control to be real- ized.

This paper presents an application of semi-discretization method to stability analysis of feedback controls of linear systems with time delay. The method develops a mapping of the system response in a finite dimensional state space.

Minimization of the largest absolute value of the eigenvalues of the mapping leads to optimal control gains. A constrained optimization problem is formulated to find the optimal assignment of both the closed-loop eigenvalues and eigenvectors, and then an optimal sensitivity-enhancing control is designed to achieve the desired closed-loop eigenstructure.

Efficient modal analysis of systems with local stiffness uncertainties International Journal for Numerical Methods in Engineering, Vol. 80, No. 6â7 Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches.

A modal control theory is developed whereby the loop-gains of a single-input system may be readily calculated using a simple formula for the case when the system matrix has a number of sets of.

The calculated eigenvalues using the synchronised correlation function of branch are ± j and − ± j Then according to (4), the corresponding frequencies and. Purchase Control of Distributed Parameter Systems - 1st Edition. Print Book & E-Book. ISBNThe interval state matrix is constructed by physical parameters of the system for the definite part of the control system.

For Problem A, the paper finds out the singular value element sensitivity of the modal control matrix and reorders the optimal location of the actuators. The application of linear optimal control to the design of systems with integral control action on specified outputs is considered.

Using integral terms in a quadratic performance index, an asymptotic analysis is used to determine the effect of variable quadratic weights on the eigenvalues and eigenvectors of the closed loop system.

This article proposes a combined optimal torque feedforward and modal current feedback control method for PM motors with very low phase inductance. Previously, in References [17,18], a high-frequency Combined Optimal Torque and Modal Current Control (OTMIC) was proposed for low inductance PM motors focused on the minimization of motor losses.

We seek conditions under which we can say that, as the number of modeled modes increases, the modal control law converges to a control law that is optimal for the full system, and that, if enough modes are modeled, the full closed-loop system that results from applying the modal control law to the actual system is stable.

We have provided an overview of the various analytical tools and techniques of linear system theory that is used in power system control. These have been demonstrated in an example power system where these tools are applied.

This was an attempt to provide a better understanding of these tools from the view point of power system engineers. loop system eigenvalue. The new point is that in the syntheses of controllers a combination between setting of closed-loop system poles (modal control) and optimal control through the.

change of the topology by a control force action, and design modal control for suitable fixed actuator locations. The structural optimization design is completed through a density design method, while the control force is obtained by the optimal control design for transient response and performed in the modal.

Abstract. In Chapter 3, I defined and applied modal analysis to understanding the nature of power system oscillations. However, it is necessary to do more than understand; controls, which modify the natural behaviour of the interconnected synchronous generators, must be designed.

the eigenvalue and singular value decompositions of matrices or operators. In this section, we briefly present some important fundamental properties of the eigenvalue and singular value decomposition techniques.

We also briefly discuss the concepts of pseudospectra and nonnormality. Eigenvalue decomposition is performed on a square matrix. The optimal placement of actuator and sensor for active noise control of sound–structure interaction systems 4 April | Smart Materials and Structures, Vol.

17, No. 3 Computing Large-Scale System Eigenvalues Most Sensitive to Parameter Changes, With Applications to Power System Small-Signal Stability.

The derived optimal sensor positions are valid for displacement and velocity measurements. The constructed observer is a Kalman-Filter designed for a reduced order modal model. Simulation results illustrate the feasibility of this method and a good estimation quality.

Problem formulations and relevant objectives for modal control of distributed structures or large scale structures are discussed. As an example of optimizing the performance of a simple modal control system, we optimize the design of a cantilevered beam together with the feedback gains and actuator positions of its controllers.

The central topic of this paper is the establishment of an efficient practical synthesis procedure for modern flight control systems. Unlike the classical design methodology (Bode plots, Nichols plot, etc.) and optimal control techniques, the present approach provides the designer a direct approach for the synthesis of desired control laws.

Although the setting is the now familiar state space. Modal analysis Static method which involves computation of critical eigenvalue of the reduced power system steady state Jacobian matrix and the associated participation factors Shows how close the current operating point of power system is to the voltage collapse point At each operating point P was kept constant and evaluate voltage stability.

Thus, diagonal matrix of eigenvalues. Back to. Make the additional coordinate transformation = and premultiply by TT T T TT P PP I P P PKP K PP PP PKP I =⇒ =− =Λ= += +=+Λ= qq0 qr rrrr 0 • Now we have decoupled the EOM i.e., we have n independent 2nd-order systems in modal coordinates r(t) () 7 Writing out equation () yields 2.

This report presents results on characterizations of multivariable control systems. The major results are: extension of the asymptotic modal approach of selecting quadratic performance indexes to the discrete case; the lack of guaranteed stability margins for linear quadratic Gaussian systems, and a design procedure to improve the stability margins for such systems; characterization of.

A mechanically motivated strategy for determining actuator locations for minimum force modal control of continuous faceplate deformable mirrors in adaptive optics systems is proposed. It is shown that numerically or analytically derived eigenmodes of deformable mirrors can be used to determine optimal positions for a limited number of actuators.

The actuators considered in this framework may. The present article deals with finding the best position of piezoelectric actuator for active vibration control of square plate with all-clamped edges using the genetic algorithm (GA) and developed optimization algorithm (DOA) base on controllability grammian.

The controllability grammian is obtained using the modal force constants, the eigenvalues and eigenfunctions of all-clamped edges plate. Eigenvalue and eigenvector derivatives of second-order systems using structure-preserving equivalences Journal of Sound and Vibration, Vol.

No. An experiment-based frequency sensitivity enhancing control approach for structural damage detection. Before setting the optimal objective function, the observability matrix [] and the controllability matrix [] are, respectively, obtained by the expression between Gramian matrix and the system modal energy [18].

The Wikibook of Automatic Control Systems And Control Systems Engineering with Classical and Modern Techniques And Advanced Concepts. Thomas Kailath, Linear Systems, Prentice Hall. Katsuhiko Ogata, Modern Control Engineering, Prentice Hall.

Donald Kirk, Optimal Control Theory – An Introduction, Prentice Hall, ISBN In control engineering, a state-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations or difference variables are variables whose values evolve over time in a way that depends on the values they have at any given time and on the externally imposed values of input variables.An iterative method for designing an optimal constant gain feedback controller for a linear system to achieve minimum eigenvalue sensitivity to parameter variations is presented.

In addition to assigning eigenvalues to desired locations in the complex plane, one can also assign elements of eigenvectors by this method. This makes it possible to shape the response of the states. Examples to.