Revisited LQ output-feedback control: minimax controller for a set of initial states
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Publication:3644830
DOI10.1080/00207170902902859zbMath1175.49030OpenAlexW2145511454MaRDI QIDQ3644830
Dmitry V. Balandin, Mark M. Kogan
Publication date: 12 November 2009
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207170902902859
Minimax problems in mathematical programming (90C47) Feedback control (93B52) Linear inequalities of matrices (15A39) Linear-quadratic optimal control problems (49N10)
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Cites Work
- LMI solution to general \({\mathcal H}_{2}\) suboptimal control problems
- All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
- Explicit controller formulas for LMI-based \(H_ \infty\) synthesis
- Generalized asymptotic regulation with guaranteed \({\mathcal H}_2\) performance: a LMI solution
- State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
- A linear matrix inequality approach to H∞ control
- A cone complementarity linearization algorithm for static output-feedback and related problems
- Multiobjective output-feedback control via LMI optimization
- An optimization algorithm for checking feasibility of robustH∞-control problem for linear time-varying uncertain systems
- On optimal output regulation for linear systems
- TheXY-centring algorithm for the dual LMI problem: a new approach to fixed-order control design
- An Improved ILMI Method for Static Output Feedback Control With Application to Multivariable PID Control