System Optimization - I Multi-disciplinary Design Optimization

System Optimization - IMulti-disciplinary Design Optimization K Sudhakar PM Mujumdar Centre for Aerospace Systems Design & Engineering Indian Institute of Technology, Mumbai

Formal Process for Design • Requirements Capture  Problem statement User, Regulatory, Implied, . . • Establish Concepts • Identify Modeling & Simulation Environment for System Analysis. Easy for familiar concepts. • Design Space Exploration for chosen concepts. Subjective, Parametric studies, Optimization, ? • Design Specification

Analysis Inputs Outputs System Analysis

Analysis Design Variables Requirements System Analysis Many designs may satisfy requirements. Goodness criteria?

Objective Analysis Design Variables Requirements as Constraints System Analysis

Objective Analysis Design Variables Requirements as constraints Change design Subjective? System Design

Analysis Geometry, Etc. Performance, Cost, Weight, System Analysis

Aerodynamics Structures Controls Trajectory Performance, Cost, Weight, Geomtery, Etc. Propulsion System Analysis Identify, validate and integrate modules

Sub-System Analysis Aerodynamics Aerodynamics

VLM for Lift CFD for drag Sub-System Analysis Aerodynamics Analysis - Recursion

DATCOM CFD Sub-System Analysis Aerodynamics Fidelity level of analysis - Low, Medium, High

System Modeling & Simulation • Requires great insight • Need to use most appropriate model • Occam’s razor • Integration of sub-system models • Issues in integration • Technical • Human • . . . . .

Integration Issues I cannot find the correct tuning parameters! Why do you want my program? System Designer’s Nightmare! I have a new version of analysis software You have to know my code to be able to execute it!

HW-6 Controls HW-7 Optimizers HW-3 System-II HW-1 Aerod HW-2 Struct HW-4 Prop HW-5 System-I Frameworks for Integration • Distributed analyses & ownership • System level virtual integration • System level vocabulary • Customized standard tools • eg. iSIGHT, Phoenix, • & CASDE Framework

System Analysis X1, Y2 A1 Y1 X2 A2 Y2 XS YS Y3 X3 A3 XS = {x1, x2, x3} YS = { y1, y2,y3 }

System Analysis X1, Y2 A1 ? Y1 X2 A2 Y2 XS = {x1, x2, x3} YS = { y1, y2,y3, x1 } Y3 X3 A3 How to execute A1?

x1 A1 Y1 y2 A2 x2 y2 YS = { y1, y2,y3 } x3 Y3 A3 System Analysis - Prescribed Scheduling

x2 A2 y2 y2 y1 A1 x1 YS = { y1, y2,y3 } x3 y3 A3 System Analysis

How to explore design space? • Brute force? How many function evaluations? • Evolutionary methods, derivative free - GA, SA! • How to compute derivatives? • Time intensive models • noisy models Surrogate models - DOE/RSM, DACE Variable Fidelity Methods Sensitivity Analysis

? Problem statement Modeling & Simulation environment Integrating models Sensitivity analysis (derivatives) Optimization technology etc.

System Optimization - I Multi-disciplinary Design Optimization

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