Stability Analysis and Controller Synthesis of Linear Parameters Varying Stochastic Systems

View Statistics Email Alert RSS Feed

Information

Details

Project title

Code/計畫編號

MOST103-2221-E019-047

Translated Name/計畫中文名

針對線性參數時變隨機系統之穩定性分析與控制器設計

Project Coordinator/計畫主持人

Cheung-Chieh Ku

Funding Organization/主管機關

National Science and Technology Council

Department/Unit

Department of Marine Engineering

Website

https://www.grb.gov.tw/search/planDetail?id=8352801

Year

2014

Start date/計畫起

01-08-2014

Expected Completion/計畫迄

31-07-2015

Bugetid/研究經費

518千元

ResearchField/研究領域

電子電機工程

由於動態系統建模在取得內部參數時，往往皆會遇到因材料、溫度、時間等等的因素而產生的誤差 (Perturbations) 問題，然而對於系統建模的品質的要求常影響到控制器功能準確與實用，因此如何完整的描述具不確定性變化在系統之行為也就變得值得研究與探討的課題。基於上述原因，線性參數時變系統發展描述線性時變系統的重要性日漸提升，有效增加對該系統的建模品質進而提升控制器性能與實用。透過學習現有之文獻發現線性參數時變系統皆以傳統非隨機系統為主進行穩定性分析法則與控制器設計方法，但是對於具有隨機行為之線性參數時變系統的相關研究與討論卻是少之又少；由於隨機行為的存在將影響控制器的性能且導致系統趨向不穩定之結果，因此對於隨機行為對系統的影響是不容小覷。本計畫將同時探討連續型與離散型線性參數時變隨機系統的穩定性分析與控制器設計之相關議題，利用里阿伯諾方程式推導充分條件並將其轉換為線性矩陣不等式，根據充分條件提出系統穩定性分析與控制器設計準則。最後透過具空氣增壓之柴油引擎系統以及聯結車系統來驗證本計畫之可行型與實用性。During modeling process for dynamic system, the factors from materials, temperature and time and so on usually cause parameter perturbation problems. However, the quality of system description affects the performance and accuracy of designed controller. Thus, the description of system with above uncertain phenomena is worth to be researched and investigated. For that, the Linear Parameter Varying (LPV) system proposes a complete and useful structure to describe the Linear Time Varying (LTV) system and offers better performance and applicability of designed controller. However, most current literatures were proposed to discuss the stability analysis and controller synthesis of LPV deterministic systems. Few issues about LPV system with stochastic behaviors are discussed. Therefore, the stability and stabilization problems of LPV stochastic systems are investigated and discussed in this project. Based on the Lyapunov function, the corresponding sufficient conditions are derived into Linear Matrix Inequality (LMI) form for applying convex optimization algorithm. According the derived conditions, the stability and stabilization schemes are obtained for guaranteeing the stability of the systems. Finally, the diesel engines system with compressed air path and truck-trailer system are proposed to demonstrate the usefulness and effectiveness of the proposed design method in this project.

Keyword(s)

線性參數時變系統
隨機系統
線性矩陣不等式
里阿伯諾方程式
具空氣增壓之柴油引擎系統
聯結車系統
LPV
Stochastic System
LMI
Lyapunov Function
Diesel Engines System with Compressed Air Path
Truck-Trailer System

DSpace CRIS

Stability Analysis and Controller Synthesis of Linear Parameters Varying Stochastic Systems

Details

Description