Mixed-norm H2/H∞ regulation and estimation: the discrete-time case
Systems & Control Letters
Pole-assignment robustness in a specified disk
Systems & Control Letters
Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
H∞ control with regional stability constraints
Automatica (Journal of IFAC)
Minimum-energy covariance controllers
Automatica (Journal of IFAC)
A Unified Algebric Approach to Control Design
A Unified Algebric Approach to Control Design
LMI approach to output feedback control for linear uncertain systems with D-stability constraints
Journal of Optimization Theory and Applications
Robust H2/H∞ filtering for linearsystems with error variance constraints
IEEE Transactions on Signal Processing
Sampled-data filtering with error covariance assignment
IEEE Transactions on Signal Processing
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In this paper, we study the problem of robust H驴 controller design for uncertain continuous-time systems with variance and D-stability constraints. The parameter uncertainties are allowed to be unstructured but norm-bounded. The aim of this problem is the design of an output feedback controller such that, for all admissible uncertainties, the closed-loop poles be placed within a specified disk, the H驴 norm bound constraint on the disturbance rejection attenuation be guaranteed, and the steady-state variance for each state of the closed-loop system be no more than the prescribed individual upper bound, simultaneously. A parametric design method is exploited to solve the problem addressed. Sufficient conditions for the existence of the desired controllers are derived by using the generalized inverse theory. The analytical expression of the set of desired controllers is also presented. It is shown that the obtained results can be readily extended to the dynamic output feedback case and the discrete-time case.