Successive Linearization Methods for Nonlinear Semidefinite Programs
Computational Optimization and Applications
A geometric theory for 2-D systems including notions of stabilisability
Multidimensional Systems and Signal Processing
Expert Systems with Applications: An International Journal
Robust H2 control of Markovian jump systems with uncertain switching probabilities
International Journal of Systems Science
An iterative LMI approach to H∞ networked control with random communication delays
International Journal of Systems, Control and Communications
A successive SDP-NSDP approach to a robust optimization problem in finance
Computational Optimization and Applications
Synthesis of switching H2and H∞output-feedback controllers: a fuzzy supervisor approach
ACC'09 Proceedings of the 2009 conference on American Control Conference
An LMI approach to mixed H2/H∞robust fault-tolerant control design with uncertainties
ACC'09 Proceedings of the 2009 conference on American Control Conference
Dissipative fuzzy controller for networked nonlinear system with missing data
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
IEEE Transactions on Fuzzy Systems
Robust output-feedback controller design via local BMI optimization
Automatica (Journal of IFAC)
Brief On robust stabilization of Markovian jump systems with uncertain switching probabilities
Automatica (Journal of IFAC)
Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers
Automatica (Journal of IFAC)
Structural Invariants of Two-dimensional Systems
SIAM Journal on Control and Optimization
Dissipative synchronization of nonlinear chaotic systems under information constraints
Information Sciences: an International Journal
Automatica (Journal of IFAC)
H∞ control for networked systems with multiple packet dropouts
Information Sciences: an International Journal
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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We consider the problem of designing a suboptimal ${\cal H}_2/{\cal H}_{\infty}$ feedback control law for a linear time-invariant control system when a complete set of state variables is not available. This problem can be necessarily restated as a nonconvex optimization problem with a bilinear, multiobjective functional under suitably chosen linear matrix inequality (LMI) constraints. To solve such a problem, we propose an LMI-based procedure which is a sequential linearization programming approach. The properties and the convergence of the algorithm are discussed in detail. Finally, several numerical examples for static ${\cal H}_2/{\cal H}_{\infty}$ output feedback problems demonstrate the applicability of the considered algorithm and also verify the theoretical results numerically.