PMID- 32928522
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20210201
IS  - 1879-2022 (Electronic)
IS  - 0019-0578 (Linking)
VI  - 108
DP  - 2021 Feb
TI  - State-dependent indirect pseudospectral method for nonlinear optimal control 
      problems.
PG  - 220-229
LID - S0019-0578(20)30373-6 [pii]
LID - 10.1016/j.isatra.2020.08.041 [doi]
AB  - The state-dependent Riccati equation (SDRE) method is an efficient approach to 
      solve nonlinear optimal control problems (OCPs), but nonlinear necessary 
      conditions for the first-order optimality are seldom met in the SDRE approach. In 
      this paper, a state-dependent indirect pseudospectral (SDIP) technique is 
      developed to design nonlinear optimal controllers. To preserve the nonlinearity 
      of the system and reduce the computational cost as well, the state-dependent 
      coefficient (SDC) parameterization technique is employed. Then the optimality 
      conditions are derived under input and state constraints, and spectral methods 
      are used to discretize the optimality conditions into a series of mixed linear 
      complementarity problems (MLCPs). The developed SDIP method is able to handle the 
      finite and infinite-horizon nonlinear OCPs in a unified framework. Numerical 
      comparisons also verify the performance of the developed SDIP method.
CI  - Copyright (c) 2020 ISA. Published by Elsevier Ltd. All rights reserved.
FAU - Wang, Zhong
AU  - Wang Z
AD  - Department of Navigation, Guidance, and Control, Northwestern Polytechnical 
      University, Xi'an, 710129, PR China. Electronic address: zwang.nwpu@gmail.com.
FAU - Li, Yan
AU  - Li Y
AD  - Department of Navigation, Guidance, and Control, Northwestern Polytechnical 
      University, Xi'an, 710129, PR China. Electronic address: liyan@nwpu.edu.cn.
LA  - eng
PT  - Journal Article
DEP - 20200901
PL  - United States
TA  - ISA Trans
JT  - ISA transactions
JID - 0374750
SB  - IM
OTO - NOTNLM
OT  - Input saturation
OT  - Optimal control
OT  - Pseudospectral method
OT  - State constraint
OT  - State-dependent coefficient
COIS- Declaration of Competing Interest The authors declare that they have no known 
      competing financial interests or personal relationships that could have appeared 
      to influence the work reported in this paper.
EDAT- 2020/09/16 06:00
MHDA- 2020/09/16 06:01
CRDT- 2020/09/15 05:39
PHST- 2019/04/30 00:00 [received]
PHST- 2020/08/26 00:00 [revised]
PHST- 2020/08/26 00:00 [accepted]
PHST- 2020/09/16 06:00 [pubmed]
PHST- 2020/09/16 06:01 [medline]
PHST- 2020/09/15 05:39 [entrez]
AID - S0019-0578(20)30373-6 [pii]
AID - 10.1016/j.isatra.2020.08.041 [doi]
PST - ppublish
SO  - ISA Trans. 2021 Feb;108:220-229. doi: 10.1016/j.isatra.2020.08.041. Epub 2020 Sep 
      1.