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FIXED‐ORDER DYNAMIC OPTIMAL CONTROL DESIGN FOR ROBUST STABILITY OF LINEAR DISCRETE SYSTEMS
Author(s) -
Kolla Sri R.
Publication year - 1995
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/j.1099-1514.1995.tb00005.x
Subject(s) - control theory (sociology) , robustness (evolution) , mathematics , discrete time and continuous time , lyapunov function , linear quadratic gaussian control , robust control , linear quadratic regulator , matrix (chemical analysis) , linear system , quadratic equation , optimal control , computer science , mathematical optimization , control system , control (management) , nonlinear system , engineering , artificial intelligence , chemistry , biochemistry , quantum mechanics , statistics , physics , electrical engineering , gene , materials science , mathematical analysis , composite material , geometry
SUMMARY This paper presents a fixed‐order dynamic optimal control design method for robust stability of linear discrete systems. The controller determination includes a stability robustness component in addition to the standard quadratic state and control terms in the performance criterion. The control design is based on a parameter optimization technique. The resulting controller involves the solution of three algebraic matrix equations, two of which are discrete‐time Lyapunov matrix equations.