On Quadratic Optimal Control of Nonlinear Discrete-Time Systems

被引:0
|
作者
Elloumi, Salwa [1 ]
Mechichi, Amina Khiari [1 ]
Braiek, Naceur Benhadj [1 ]
机构
[1] Polytech Sch Tunis, LSA, Lamarsa, Tunisia
来源
2013 10TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD) | 2013年
关键词
Nonlinear systems; Discrete-time system; Optimal control; State Dependant Riccati Equation (SDRE); STATE; STABILITY;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper presents two nonlinear, discrete-time optimal control system designs. The first one is the quasi-optimal control for nonlinear discrete-time dynamic systems, based essentially on iterative algorithms. The second one is the discrete-time state-dependent Riccatti equation (DSDRE) method, which aims to solve a nonlinear optimal control problem through a Riccati equation that depends on the state. Our main contribution in this paper is to carry out a stability study of nonlinear systems associated with DSDRE controllers and to compare the performances of the two optimal controls via numerical simulation study. Unlike the analytical approach, DSDRE approach is able to neutralize exceeding at the transient phase, and shows easier ability for implementation.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] Quantized Control of Nonlinear Quadratic Discrete-Time Systems
    Maestrelli, Rafael
    Coutinho, Daniel
    de Souza, Carlos E.
    Xie, Lihua
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 4843 - 4848
  • [2] Model Predictive Control for Discrete-time Nonlinear Quadratic Systems
    Li, Shanqiang
    Peng, Xiuyan
    Wang, Long
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 1697 - 1702
  • [3] Adaptive Optimal Control for Nonlinear Discrete-Time Systems
    Qin, Chunbin
    Zhang, Huaguang
    Luo, Yanhong
    PROCEEDINGS OF THE 2013 IEEE SYMPOSIUM ON ADAPTIVE DYNAMIC PROGRAMMING AND REINFORCEMENT LEARNING (ADPRL), 2013, : 13 - 18
  • [4] Optimal Control of Affine Nonlinear Discrete-time Systems
    Dierks, Travis
    Jagannthan, S.
    MED: 2009 17TH MEDITERRANEAN CONFERENCE ON CONTROL & AUTOMATION, VOLS 1-3, 2009, : 1390 - 1395
  • [5] Optimal discrete-time control for nonlinear cascade systems
    Haddad, WM
    Fausz, JL
    Chellaboina, V
    Abdallah, CT
    PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 2175 - 2176
  • [6] Discrete-Time Synergetic Optimal Control of Nonlinear Systems
    Nusawardhana, R.
    Zak, S. H.
    Crossley, W. A.
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2008, 31 (06) : 1561 - 1574
  • [7] GENERAL RESULT IN STOCHASTIC OPTIMAL CONTROL OF NONLINEAR DISCRETE-TIME SYSTEMS WITH QUADRATIC PERFORMANCE CRITERIA
    JACOBSON, DH
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 47 (01) : 153 - 161
  • [8] Overlapping quadratic optimal control of time-varying discrete-time systems
    Bakule, L
    Rodellar, J
    Rossell, JM
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2004, 11 (2-3): : 301 - 319
  • [9] Stochastic linear quadratic optimal control with constraint for discrete-time systems
    Liu, Xikui
    Li, Yan
    Zhang, Weihai
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 : 264 - 270
  • [10] LINEAR QUADRATIC OPTIMAL-CONTROL OF DISCRETE-TIME IMPLICIT SYSTEMS
    WANG, XM
    BERNHARD, P
    GRIMM, J
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1986, 303 (04): : 127 - 130