Browsing Biomedical Imaging Lab (Minerva Research Group) by Subject "Linear systems"
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Computational Algebraic Geometry and Switching Surfaces in Optimal Control
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 199912)A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. Recently, a powerful ... 
Control of SlowlyVarying Linear Systems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198912)State feedback control of slowly varying linear continuoustime and discretetime systems with bounded coefficient matrices is studied in terms of the frozentime approach. This study centers on pointwise stabilizable ... 
H₂ Suboptimal Estimation and Control for Nonnegative Dynamical Systems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200707)Linear matrix inequalities provide a powerful design framework for linear control problems. In this paper, we use linear matrix inequalities to develop H₂ (sub)optimal estimators and controllers for nonnegative dynamical ... 
NonEuclidian metrics and the robust stabilization of systems with parameter uncertainty
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198510)This paper considers, from a complex function theoretic point of view, certain kinds of robust synthesis problems. In particular, we use a certain kind of metric on the disk (the "hyperbolic" metric) which allows us to ... 
On the Computation of Switching Surfaces in Optimal Control: A Gröbner Basis Approach
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 200104)A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. A powerful new methodology ... 
Robust Control of Linear TimeInvariant Plants Using Periodic Compensation
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198511)This paper considers the use and design of linear periodic timevarying controllers for the feedback control of linear timeinvariant discretetime plants. We will show that for a large class of robustness problems, periodic ... 
Stabilization of TimeDelay Systems Using FiniteDimensional Compensators
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198501)For linear timeinvariant systems with one or more noncommensurate time delays, necessary and sufficient conditions are given for the existence of a finitedimensional stabilizing feedback compensator. In particular, it ... 
Weighted Sensitivity Minimization for Delay Systems
(Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 198608)In this note we discuss the H ∞ sensitivity minimization problem for linear timeinvariant delay systems. While the unweighted case reduces to simple NevanlinnaPick interpolation, the weighted case turns out to be much ...