Combining Convex–Concave Decompositions and Linearization Approaches for Solving BMIs, With Application to Static Output Feedback
From MaRDI portal
Publication:5352836
DOI10.1109/TAC.2011.2176154zbMath1369.90170arXiv1109.3320OpenAlexW2089122170MaRDI QIDQ5352836
Moritz Diehl, Suat Gumussoy, Quoc Tran Dinh, Wim Michiels
Publication date: 8 September 2017
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.3320
Related Items (43)
New Primal-Dual Algorithms for a Class of Nonsmooth and Nonlinear Convex-Concave Minimax Problems ⋮ Synthesizing invariant barrier certificates via difference-of-convex programming ⋮ A sequential LMI approach to design a BMI-based multi-objective nonlinear observer ⋮ Output feedback negative imaginary synthesis under structural constraints ⋮ Energy-regenerative model predictive control ⋮ Event based guaranteed cost consensus for distributed multi-agent systems ⋮ Observer design and output feedback stabilization for nonlinear multivariable systems with diffusion PDE-governed sensor dynamics ⋮ Static output feedback negative imaginary controller synthesis with an \(H_\infty\) norm bound ⋮ Stability and stabilization of linear impulsive systems with large impulse-delays: a stabilizing delay perspective ⋮ A data-driven approach to robust control of multivariable systems by convex optimization ⋮ A hybrid search based synthesis of static output feedback controllers for uncertain systems with application to multivariable PID control ⋮ Static output feedback negative imaginary controller design with H 2 performance ⋮ A mesh‐based partitioning algorithm for decreasing conservatism in solving bilinear matrix inequality problems ⋮ A successive convex optimization method for bilinear matrix inequality problems and its application to static output‐feedback control ⋮ Bilinear matrix inequality‐based nonquadratic controller design for polytopic‐linear parameter varying systems ⋮ New results on sampled‐data output‐feedback control of linear parameter‐varying systems ⋮ Direct synthesis of reduced order H controllers for a class of multivariable plants ⋮ A randomized approximation algorithm for the minimal-norm static-output-feedback problem ⋮ Stabilizing a class of nonlinear parameter‐varying systems using interval observer based on a piecewise framework ⋮ Designing and tuning MIMO feedforward controllers using iterated LMI restriction ⋮ Stochastic piecewise affine control with application to pitch control of helicopter ⋮ Saturation-based switching anti-windup design for linear systems with nested input saturation ⋮ Graph Lyapunov function for switching stabilization and distributed computation ⋮ Non-fragile quantized \(H_\infty\) output feedback control for nonlinear systems with quantized inputs and outputs ⋮ Sufficient LMI conditions for reduced-order multi-objective \(\mathcal H_2/\mathcal H_\infty\) control of LTI systems ⋮ Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties ⋮ A new parametrization for static output feedback control of LPV discrete-time systems ⋮ Optimization of Coordinate Transformation Matrix forH∞Static-Output-Feedback Control of Linear Discrete-Time Systems ⋮ Exponentially stabilizing fuzzy controller design for a nonlinear ODE-beam cascaded system and its application to flexible air-breathing hypersonic vehicle ⋮ Static output feedback problem for Lipschitz nonlinear systems ⋮ A probabilistic solution of robustH∞control problem with scaled matrices ⋮ Sequential parametric convex approximation algorithm for bilinear matrix inequality problem ⋮ Risk-theoretic optimal design of output-feedback controllers via iterative convex relaxations ⋮ An improved path-following method for solving static output feedback control problems ⋮ 11 Reduced-order modeling of large-scale network systems ⋮ A quadratic matrix inequality based PID controller design for LPV systems ⋮ Finite-frequency fixed-order dynamic output-feedback control via a homogeneous polynomially parameter-dependent technique ⋮ Inside-ellipsoid outside-sphere (IEOS) model for general bilinear feasibility problems: feasibility analysis and solution algorithm ⋮ Encoding inductive invariants as barrier certificates: synthesis via difference-of-convex programming ⋮ Static output feedback control design for linear MIMO systems with actuator dynamics governed by diffusion PDEs ⋮ Distributed consensus observer-basedH∞control for linear systems with sensor and actuator networks ⋮ On a new generalised LMI condition and randomised algorithm for robust stabilisation via static-output-feedback ⋮ A brief review and insights into matrix inequalities for H∞ static-output-feedback control and a local optimal solution
This page was built for publication: Combining Convex–Concave Decompositions and Linearization Approaches for Solving BMIs, With Application to Static Output Feedback