Technical Notes and Correspondence
International Journal of Control, Automation and Systems 2011; 9(1): 145-150
Published online February 12, 2011
https://doi.org/10.1007/s12555-011-0119-1
© The International Journal of Control, Automation, and Systems
Optimal Control of Singular Systems via Orthogonal Functions
In this paper two new recursive algorithms are presented for computing optimal control law of linear time-invariant singular systems with quadratic performance index by using the elegant properties of block-pulse functions (BPFs) and shifted Legendre polynomials (SLPs). Also a unified approach is given to solve the optimal control problem of singular systems via BPFs or SLPs. Two numerical examples are included to demonstrate the validity of the proposed algorithms and approach.
Keywords Block-pulse functions, optimal control, orthogonal functions, shifted legendre polynomials, singular systems.
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Technical Notes and Correspondence
International Journal of Control, Automation and Systems 2011; 9(1): 145-150
Published online February 1, 2011 https://doi.org/10.1007/s12555-011-0119-1
Copyright © The International Journal of Control, Automation, and Systems.
Optimal Control of Singular Systems via Orthogonal Functions
Bosukonda M. Mohan and Sanjeeb Kumar Kar
Indian Institute of Technology, India
Abstract
In this paper two new recursive algorithms are presented for computing optimal control law of linear time-invariant singular systems with quadratic performance index by using the elegant properties of block-pulse functions (BPFs) and shifted Legendre polynomials (SLPs). Also a unified approach is given to solve the optimal control problem of singular systems via BPFs or SLPs. Two numerical examples are included to demonstrate the validity of the proposed algorithms and approach.
Keywords: Block-pulse functions, optimal control, orthogonal functions, shifted legendre polynomials, singular systems.
Vol. 23, No. 1, pp. 1~88
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