# Short term lecturing programs

IIAAT offers short term lecturing programs for visitors (students, postgraduates and specialists) in advanced science and technology. The lectures of highly-qualified professors may be combined with extended scientific and cultural program, visiting of leading research and industrial centres, theatres, museums and city sightseeing. Training will be partly provided in the special aerospace centres. The duration of each program may vary from one week up to a year. The program could be agreed with the partner University to meet the specific complementary requirements. Comfortable accommodation is also available.

The following directions are open:

- advanced aerospace technologies;
- navigation and motion control problems;
- modern avionics;
- modern and classical control theory;
- applied mathematics;
- programming and information processing.

The tuition fee for each lecture day depends on the term/subject/audience and can vary from 40 to 180 USD per person. The essential discount may be offered for big groups including more than 10-15 persons.

In 2017 several cycles of lectures and separately served lectures and consultations are offered:

## 1. Mathematical models, designing, analysis and synthesis of control systems for flexible aerospace vehicles

- Mathematical description of flexible aerospace vehicles
- Modern control theory in application to aerospace vehicles investigation
- Methods and software for designing control systems of flexible aerospace vehicles
- Gimbals and strapdown inertial navigation and attitude control systems
- Theory and design of micromechanical gyros and accelerometers

For implementation of the offered methods and algorithms the specialized software has been designed. It is supplied with the library of program modules. These modules are designed on the basis of mathematical models of the vehicle elements and control system, and also such significant physical effects as flexibility, liquid oscillations, time lag of engines, local aerodynamic effects, etc. Functioning of the program is demonstrated and outcomes of calculations are discussed.

## 2. Advanced conceptions of space transportation systems design

The general requirements for space transportation systems of the 21st century that are capable to launch a spacecraft with passengers into the near-Earth orbit or a space probe are presented. The national programs of creating space transportation systems to be able to meet the demands of launch cost, mission facilities and environmental protection are described.

The special features of the space transportation systems with vertical or horizontal take-off, vertical or horizontal landing, single stage or two-stage, fully reusable or partly reusable are considered and classified. The characteristics of different types of engines and advanced aerospace systems are analysed in accordance with the problem of multipurpose propulsion system creation.

The versions of aerospace plane (ASP) horizontal take-off with different booster assist are considered. The conception of integrated space transportation system is analysed. In this system the heavy Ekranoplane or Wing-in-Ground Effect Craft (WIG-craft) is used for ASP assist at horizontal take-off and horizontal landing. The Ekranoplane with the own mass 1.500 tons is able to fulfill the transportation of ASP to the required point of launch, its fuelling, acceleration to the speed of 0.65 M and launching of the ASP with the take-off mass 500 tons. It is also able to take on its «back» the ASP with empty mass 66 tons in the last phase of landing at any required point of the sea. Such ASP is not in need of undercarriage. The special motion control system structure for docking of the two wing vehicles close to the rough sea is described. The experience of Ekranoplanes creation in Russia is represented.

## 3. Design experience, modern possibilities of construction and outlook of application of ekranoplanes

WIG-craft or ekranoplanes as they are called in Russia are the very promising kind of transport occupying intermediate position between airplanes and ships. They use wing-in-ground effect during flight close to the sea surface with the velocity ordinary for planes.

The history of WIG-craft (or ekranoplanes as they are called in Russia) development is discussed, large scale Russian ekranoplanes KM, Orlyonok, Lun, Spasatel and others are included. Ekranoplanes classification is made. Potential functional features of ekranoplanes are estimated; their comparison with ones of airplanes, hovercraft, hydrofoils and other kinds of transport is fulfilled. The ranges of expediential application of ekranoplanes are evaluated. The problems of the world market of ekranoplanes are discussed.

All aspects of ekranoplane design and construction are considered: aerodynamic schemes, structural materials, proofing, engines (choosing of type, number, location), control facilities, providing of take-off and landing modes, ensuring of safety and regularity of operation.

The problem of ekranoplane motion stability, especially in longitudinal plane, is defined and solved using special aerodynamic configuration and automatic control facilities. The craft controllability and required manoeuvrability are provided in accordance with the modern design principles.

The requirements to the main onboard systems are considered. Great attention is paid to the automatic systems for motion control. The systems for stabilization, damping and control of altitude, velocity and angular parameters of flight are described. The principles and systems for collision avoidance are also represented.

## 4. Control accuracy ensuring

The course is dedicated to a synthesis and analysis methods for non-adaptive automatic control systems that are capable to operate successfully under the condition of indeterminate characteristics of excitations and system elements. These robust systems in contrary to optimal systems have a number of advantages because of optimal system can successfully operate only under the fixed conditions. Research methods: Markov's moments problem, linear programming with transition to duel tasks, combination of investigations in the frequency and time domains.

## 5. Digital control systems

The course is devoted to analysis and design theory of automatic control systems in which control principles are realized using microprocessors or other digital facilities. Spanning traditional disciplinary lines, this course combines both modern and classical approaches to discrete data dynamic systems and feedback control. The optimal systems in the sense of minimum root-mean-square error or other criterion are presented. There is also a completely new material on robust systems with several control loop structure types. Much attention is given to practical examples of digital control and navigation systems.

## 6. Navigation sensors integration

The course is focused on the integration methods for any motion parameter sensors with the purpose of improving measurement accuracy. GPS and GLONASS, other radioPS, radio altimeters, attitude sensors, Doppler sensors, accelerometers, different purpose gyro, etc. are considered. Comparison of robust and Kalman algorithms is held.

The aircraft, marine and other applications are considered.

## 7. Applied mathematics

The program for an Applied Mathematics session (formatted in dependency in depth as preliminary, half-semester, semester or two-semester ones), being the subject of a pre-discussed choice, may include lectures, discussions and studies, selected from the list, given below.

### Undergraduate cycle

Basics. Calculus, Algebra, Analytical Geometry, Differential Equations. General Physics. Hydroaerodynamics.

Conservation laws in Continuum Mechanics. Hydrostatics. Generalized one-dimensional flows. Planar flows of ideal incompressible fluid. Boundary Value Problem. Theory of thin profile. Non-potential flows. Exact solutions and similarity for viscous flows. Waves. Asymptotic theories.

Gasdynamics. Gasdynamic equations. Surfaces of discontinuity. Supersonic flows and hypersonic idealization.

Self-similarity, conical flows. Fundamental solutions. Asymptotics. Laminar and turbulent regimes, heat and mass transfer, flow separation, multi-layer models. Theory of jets. Rarefied gas flows.

### Graduate cycle

Theory of Analytic Functions. The field of complex numbers. Functions of complex variable. Differentiation.

Holomorphic and meromorphic functions. Stilties integration. Cauchy theorem and related integral theorems.

Taylor and Laurent series, residues, applications. Harmonic functions. Double-periodic functions.

Unsteady Gas Dynamics. Shock wave, wave of rarefaction, surfaces of discontinuity. Initial Boundary Value Problem, Mach conoide. Shock tube flow. Exact solutions of fundamental correctly posed 1- and 2-D problems. Shock wave theory, multi-shock flows. Hartmann resonance. Methods of solution of IBVP.

Numerical Methods in Continuum Mechanics. Calculational hydro and gas dynamics. Methods of characteristics for hyperbolic problems. Methods of fluid-in-cell type. Godunov's method. Finite element method. Review of other methods.

Mathematics and modelling of Dynamical Systems. Sets. Matrices Algebra. Linear vector spaces. Limiting processes.

Integration. Functions of complex variable. Integral transforms. «Levels and Rates» models.

Discrete Mathematics. Elements of Set Theory and Mathematical Logic. Combinatorics. Informatics and codes.

Graph theory. Linear programming.

### Special Subjects

Image processing. Scenes identification. Holographic Interferometry. Hologram data processing. Mathematics of tomography. Deciphering of interferograms, Interferometry. Coherent Optics. Shadow schlieren techniques for transparent (gas dynamic) inhomogenuities. Holographic Interferometry. Lenses, grids and light sources.

Control equipment Mathematical Measurement Theory. Sets of elements with relations. Empirical and numeral systems with relations. Types of relations, equivalency, congruency. Representation of properties. Mapping. Morphisms.

General definitions of measurement and dials. Types of dials. Measurement. Measurement application. Adequacy.

## 8. Programming

### Basics

Basic principles and techniques of programming, C++ and other languages, numerical methods, procedural programming, information theory, etc.

### Touching the professional programming

Data representation and choosing the data structure, the rapidity of the algorithms and its estimation, professional numerical methods, data bases, low-level programming, etc.

### Object oriented programming (OOP)

OOP in plain words, virtual and dynamics methods, object-oriented examples and solutions, future development of OOP: about COM-technology, etc.