Optimal Control of Linear Distributed Parameter Systems by Shifted Legendre Polynomial Functions

DOI10.1115/1.3140662zbMath0525.93040OpenAlexW2023223170MaRDI QIDQ3041035

Mawling Wang, Rongyeu Chang

Publication date: 1983

Published in: Journal of Dynamic Systems, Measurement, and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3140662

zbMATH Keywords

algorithmmaximum principlelinear distributed parameter systemshifted Legendre polynomial functions

Mathematics Subject Classification ID

Related Items (15)

Analysis and identification of linear distributed systems via Chebyshev series ⋮ Suboptimal control of linear time-varying multi-delay systems via shifted Legendre polynomials ⋮ Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted Gegenbauer integral pseudospectral method ⋮ Hierarchical optimal control for distributed parameter systems via block pulse operator ⋮ Application of single-step method of block-pulse functions to the optimal control of linear distributed-parameter systems ⋮ Identifiability and identification of a class of parabolic distributed systems under approximation ⋮ Optimal control of linear distributed-parameter systems via polynomial series ⋮ Identifiability and identification of linear distributed systems via double general orthogonal polynomials ⋮ Optimal control of a parabolic distributed parameter system via radial basis functions ⋮ Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials ⋮ System analysis, parameter estimation and optimal regulator design of linear systems via Jacobi series ⋮ Application of shifted Chebyshev series to the optimal control of linear distributed-parameter systems ⋮ Double-shifted Chebyshev series for convolution integral and integral equations ⋮ Design of optimal observers with specified eigenvalues via shifted Legendre polynomials ⋮ Application of Legendre series to the control problems governed by linear parabolic equations.

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