WB2 Linear Systems II: Design

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Zero Structure Assignment of Matrix Pencils by Additive Structured Transformations

Authors:

Leventides J., University of Athens, Greece

Karcanias N., City University, United Kingdom

Kraounakis S., City University, United Kingdom

ABSTRACT

Matrix Pencil Models are natural descriptions of linear networks and systems. Changing the values of elements of networks, that is redesigning them implies changes in the zero structure of the associated pencil by structured additive transformations. The paper examines the problem of zero assignment of regular matrix pencils by a special type of structured additive transformations. For a certain family of network redesign problems the additive perturbations may be described as diagonal perturbations and such modifications are considered here. This problem has certain common features with the pole assignment of linear systems by structured static compensators and thus the new powerful methodology of global linearisation [1,2] can be used. For regular pencils with infinite zeros families of structured degenerate additive transformations are defined and parameterized and this lead to the derivation of conditions for zero structure assignment, as well as methodology for computing such solutions. Finally the case of regular pencils with no infinite zeros is considered and conditions of zero assignment are developed. The results here may provide the means for studying problems of linear network redesign by modification of the nondynamic elements.

Key Words: Linear Systems, Systems Redesign, Matrix Pencils, Frequency Assignment, Algebrogeometric methods and Global Linearisation.

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Design of Low-Order Controllers for Linear Discrete-Time Systems with Nonrandom Disturbances

Authors:

Polyak B.T., Institute for Control Science, Russia

Vishnyakov A.N., Institute for Control Science, Russia

ABSTRACT

We consider LTI SISO systems with nonrandom disturbances. The problem is to synthesize low- order controllers for optimal disturbance attenua- tion in such systems. The main idea is to fix a desired closed-loop characteristic polynomial, then a performance index is a convex function of controller coeficients. The case of l1 and l 1 -bounded disturbances is under consideration. New algorithms for solving the arising linear programming problems are proposed. The example demonstrates the advantages of the new techniques.

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Robust Triangular Decoupling via Measurement Output Feedback

Authors:

Koumboulis F., University of Thessaly, Greece

Skarpetis M., University of Thessaly, Greece

ABSTRACT

The problem of robust triangular decoupling (RTD), via measurement output feedback (MOF), is solved. The general analytical expressions of the feedback matrices, are derived. The stability properties of the resulting RTD closed loop system are proven to be analogous to those in RTD via pure state feedback. All above results are successfully applied to control the steering dynamics of cars with four wheels steering (4WS) and with no measurement of the lateral acceleration .

Key Words. Robust control, I/O Triangular Decoupling, Measurement Output Feedback, Linear Systems.

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Noninteracting Control for Submarine in Straight Horizontal Course

Authors:

Koumboulis F., University of Thessaly, Greece

Skarpetis M., University of Thessaly, Greece

Kouvakas N., University of Thessaly, Greece

Vlachos N., University of Thessaly, Greece

ABSTRACT

It is proposed to perform accurate manoeuvring of a submarine in straight horizontal course, with independent control of elevation angle and heave velocity. Independent control is accomplished via a noninteracting control technique using a static state feedback law. The general analytic expression of the feedback controllers satisfying the I/O decoupling requirement is derived. The necessary and sufficient conditions for noninteracting control with simultaneous stability are explicitly determined in terms of the stability derivatives of the submarine.

Key Words. Noninteracting control, Linear Systems, Submarine control, Stability

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Design of Control Systems by a Method of Structural Functions

Authors:

Groumpos P. - University of Patras, Greece

Kusimov S., Ufa State Aviation Technical University, Russia

Ilyasov B., Ufa State Aviation Technical University, Russia

Vasilyev V., Ufa State Aviation Technical University, Russia

Munasypov R., Ufa State Aviation Technical University, Russia

ABSTRACT

An approach to purpose-oriented design of the complex dynamic systems based on presentation of the system as a structural oriented graph is considered. The arcs of this graph are described by a pair of structural functions, which reflect an internal structure of a system based on its decomposition with use of amplifiers and integrators. The method of design is based on the use of structural criteria formulated in the form of structural functions.

Key Words. Structural design, modal control, control systems, oriented graph, structural functions

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