Open AccessOn Output Feedback Multiobjective Control for Singularly Perturbed Systems
Author(s) -
Mehdi Ghasem Moghadam,
Mohammad Taghi Hamidi Beheshti
Publication year - 2011
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/903126
Subject(s) - control theory (sociology) , singular perturbation , output feedback , perturbation (astronomy) , controller (irrigation) , lyapunov function , mathematics , set (abstract data type) , feedback control , feedback controller , function (biology) , computer science , control (management) , engineering , nonlinear system , control engineering , mathematical analysis , physics , quantum mechanics , artificial intelligence , evolutionary biology , agronomy , biology , programming language
A new design procedure for a robust 2 and ∞ control of continuous-time singularly perturbed systems via dynamic output feedback is presented. By formulating all objectives in terms of a common Lyapunov function, the controller will be designed through solving a set of inequalities. Therefore, a dynamic output feedback controller is developed such that ∞ and 2 performance of the resulting closed-loop system is less than or equal to some prescribed value. Also, ∞ and 2 performance for a given upperbound of singular perturbation parameter ∈(0,∗] are guaranteed. It is shown that the -dependent controller is well defined for any ∈(0,∗] and can be reduced to an -independent one so long as is sufficiently small. Finally, numerical simulations are provided to validate the proposed controller. Numerical simulations coincide with the theoretical analysis.
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