A computational algorithm is proposed to solve a class of nonlinear optimal control problems. The proposed algorithm is based on replacing the original nonlinear optimal control problem by a sequence of time-varying linear quadratic optimal control problems. This is accomplished by employing an iterative technique developed by Banks [1-5] which is based on replacing the original nonlinear system by a sequence of linear time-varying systems. Then each of the time-varying linear quadratic optimal control problems is transformed into a standard quadratic programming problem by parameterizing the state variables by a finite length Legendre polynomials with unknown parameters. The solution of a standard nonlinear optimal control problem is presented, to show the effectiveness of the proposed method.
목차
Abstract 1. Introduction 2. Problem Statement 3. Iterative Method and Problem Reformulation 4. State Parameterization via Legendre Polynomials 4.1 System State Equation Approximation 4.2 Time-Varying Matrices A(x[i-1](?)) and B(x[i-1](?)) Approximation 4.3 Initial State Constraints Approximation 5. Computation Results 6. Conclusion References
키워드
Nonlinear optimal control problemBanks Iterative TechniqueLegendre polynomialsState parameterization
저자
Hussein Jaddu [ Electronics Engineering Department, Faculty of Engineering, Al Quds University, Jerusalem, Palestine ]
Amjad Majdalawi [ Electronics Engineering Department, Faculty of Engineering, Al Quds University, Jerusalem, Palestine ]
보안공학연구지원센터(IJCA) [Science & Engineering Research Support Center, Republic of Korea(IJCA)]
설립연도
2006
분야
공학>컴퓨터학
소개
1. 보안공학에 대한 각종 조사 및 연구
2. 보안공학에 대한 응용기술 연구 및 발표
3. 보안공학에 관한 각종 학술 발표회 및 전시회 개최
4. 보안공학 기술의 상호 협조 및 정보교환
5. 보안공학에 관한 표준화 사업 및 규격의 제정
6. 보안공학에 관한 산학연 협동의 증진
7. 국제적 학술 교류 및 기술 협력
8. 보안공학에 관한 논문지 발간
9. 기타 본 회 목적 달성에 필요한 사업
간행물
간행물명
International Journal of Control and Automation
간기
월간
pISSN
2005-4297
수록기간
2008~2016
십진분류
KDC 505DDC 605
이 권호 내 다른 논문 / International Journal of Control and Automation Vol.7 No.3