H∞ -optimization without assumptions on finite or infinite zeros
SIAM Journal on Control and Optimization
H∞ control problem with j&ohgr;-axis zeros
Automatica (Journal of IFAC)
The singular H2 control problem
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Robust regulation with H2 performance
Systems & Control Letters
Reduced-order controllers for continuous and discrete-time singular H∞ control problems based on LMI
Automatica (Journal of IFAC)
Solution to nonsingular H2 optimal control problem with unstable weights
Systems & Control Letters
Control of Linear Systems with Regulation and Input Constraints
Control of Linear Systems with Regulation and Input Constraints
Brief Extended H∞ control - H∞ control with unstable weights
Automatica (Journal of IFAC)
Performance with regulation constraints
Automatica (Journal of IFAC)
Lyapunov characterization of forced oscillations
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 22.15 |
A multi-objective controller synthesis problem is considered in which a set of generalized asymptotic regulation constraints are to be satisfied while also guaranteeing a desired level of performance measured in terms of the asymptotic variance of a performance output in response to a white noise random process with zero mean and identity covariance matrix. The generalized regulation constraints are expressed as bounds on the state-steady peak in response to disturbances generated by an anti-stable autonomous exogenous system with nonzero initial states. The controllers that guarantee these constraints can be realized by replicating the dynamics of the exogenous system within a certain structure formed by gain matrices, which are subject to convex constraints, and an accompanying controller with which the feedback loop is to be stabilized. Formulating the design of the accompanying controller in a way to guarantee the additional performance objective, the overall design is rendered tractable over a set of free variables, in terms of which the synthesis of a suitable controller is also outlined. The order of the controller is equal to the order of the plant plus the order of the exogenous system. By an adaptation of the developed techniques, a solution is also provided for the problem of generalized asymptotic regulation with suboptimal transient response.