Mario A. Rotea

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-In this paper we consider a mixed HZ//-/~-optimal control problem. It is assumed that the plant as well as the feedback controller are finite-dimensional and linear time-invariant, and that the plant state is available for feedback. More specifically, among all the state-feedback controllers that minimize the HE-norm of a closed loop transfer matrix, we(More)
This paper considers a state estimation problem for a discrete-time linear system driven by a Gaussian random process. The second order statistics of the input process and state initial condition are uncertain. However, the probability that the state and input satisfy linear constraints during the estimation interval is known. A minimax estimation problem(More)
We introduce a controllability notion for uncertain systems, namely, quadratic controllability. For a specific class of norm bounded uncertain systems, we show that this notion is equivalent to controllability of a nominal system and the satisfaction of a certain structural condition by the uncertainty. For systems in which the uncertain parameters affect(More)
The performance of a prototype standing wave thermoacoustic cooler is optimized using an extremum seeking control algorithm. A tunable Helmholtz resonator was developed for a thermoacoustic cooler to change the boundary condition of the standing wave tube. The volume of the resonator is adjusted by changing the location of a piston on a ball-screw assembly(More)
In this paper, we use the theory of L2 disturbance attenuation for linear (H1) and nonlinear systems to obtain solutions to the Nonlinear Benchmark Problem (NLBP) proposed in the paper by Bupp et. al.1. By considering a series expansion solution to the Hamilton-Jacobi-Isaacs Equation associated with the nonlinear disturbance attenuation problem, we obtain a(More)
to the Nonlinear Benchmark Problem Panagiotis Tsiotras Dept. of Mechanical, Aerospace and Nuclear Engineering University of Virginia Charlottesville, VA 22903-2442 Martin Corless and Mario A. Rotea School of Aeronautics and Astronautics Purdue University West Lafayette, IN 47907-1282 Abstract In this paper, we use the theory of L2 disturbance attenuation(More)