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A state-space approach solves the problem of finding among all state feedback controllers that minimize an HE-performance measure one that also satisfies an Ha-norm bound. Abstract-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(More)
S.P. Banks and K.J. Mhana (1992) claim that a certain condition is suucient to ensure global asymptotic stability for a broad class of nonlinear systems. We demonstrate , via a counterexample , that satisfaction of this condition does not imply global asymptotic stability. A recent paper by S.P. Banks and K.J. Mhana (1992) claims that, if a certain(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)
1 Abstract 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,(More)
In this paper, we use the theory of L2 disturbance at-tenuation for linear (H1) and nonlinear systems to obtain solutions to the Nonlinear Benchmark Problem (NLBP) proposed in the companion paper by B u p p et. al. 2]. By considering a series expansion solution to the Hamilton-Jacobi-Isaacs Equation associated with the nonlinear disturbance attenuation(More)
1 Abstract 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,(More)