Robust output-feedback controller design via local BMI optimization

DOI10.1016/j.automatica.2004.01.028zbMath1051.93042OpenAlexW2135904607MaRDI QIDQ1883118

Yanyan Li

Publication date: 1 October 2004

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2004.01.028

zbMATH Keywords

LMIsStructured uncertaintyMultiobjective controlDynamic output-feedbackRobust control design

Mathematics Subject Classification ID

Related Items (42)

Multiple robust H _∞ controller design using the nonsmooth optimization method ⋮ A BMI approach for ℋ︁_∞ gain scheduling of discrete time-varying systems ⋮ Noncommutative partially convex rational functions ⋮ Design of a fuzzy multi-objective power system stabilizer ⋮ Simultaneous fault detection and control for discrete-time systems via a switched scheme ⋮ Noncommutative partial convexity via \(\Gamma\)-convexity ⋮ Switching design for suboptimal guaranteed cost control of 2-D nonlinear switched systems in the Roesser model ⋮ Optimisation of transient and ultimate inescapable sets with polynomial boundaries for nonlinear systems ⋮ Robust static output feedback \(\mathcal{H}_\infty\) control design for linear systems with polytopic uncertainties ⋮ Discussion on: ``GPC robust design using linear and/or bilinear matrix inequalities ⋮ Controller and anti‐windup co‐design for the output regulation of rational systems subject to control saturation ⋮ Robust stabilization under structured, possibly unstable and impulsive uncertainties ⋮ Continuous-time synthesizing robust sampled-data dynamic output-feedback controllers for uncertain nonlinear systems in Takagi-Sugeno form: a descriptor representation approach ⋮ Bilinear matrix inequalities and polynomials in several freely noncommuting variables ⋮ Robust \(L_2\)-\(L_{\infty}\) control of uncertain differential linear repetitive processes ⋮ Overcoming non‐convexity of the robust nonlinear output feedback problem: An adaptive linear matrix inequality solution ⋮ Robust switching output-feedback control of time-varying polytopic uncertain systems ⋮ A statistical learning theory approach for uncertain linear and bilinear matrix inequalities ⋮ Distributed robust \(H_\infty \) consensus control in directed networks of agents with time-delay ⋮ Multiobjective output feedback control of a class of stochastic hybrid systems with state-dependent noise ⋮ LMI optimization approach to robust decentralized controller design ⋮ Robust observed-state feedback design for discrete-time systems rational in the uncertainties ⋮ Insensitive output feedback H_∞ control of delta operator systems with insensitivity to sampling time jitter ⋮ Robust \(H_{\infty }\) output-feedback control of systems with time-delay ⋮ Improvement of the LMI change of variables for multi‐objective control design problems ⋮ Robust state-derivative feedback LMI-based designs for multivariable linear systems ⋮ Robust finite word length controller design ⋮ Consensus problem of high-order multi-agent systems with external disturbances: An H∞ analysis approach ⋮ Fault detection for output feedback control systems with actuator stuck faults: A steady-state-based approach ⋮ Event-triggered dynamic output feedback tracking control for large-scale interconnected systems with disturbances ⋮ Robust state-derivative pole placement LMI-based designs for linear systems ⋮ On validating closed-loop behaviour from noisy frequency-response measurements ⋮ Robust \(H_{\infty}\) output-feedback control of linear discrete-time systems ⋮ A BMI approach to guaranteed cost control of discrete-time uncertain system with both state and input delays ⋮ Exponentially stabilizing fuzzy controller design for a nonlinear ODE-beam cascaded system and its application to flexible air-breathing hypersonic vehicle ⋮ An iterative approach to the optimal co-design of linear control systems ⋮ Simultaneous fault detection and control for switched systems with actuator faults ⋮ Risk-theoretic optimal design of output-feedback controllers via iterative convex relaxations ⋮ Novel results on robust control under structured uncertainties ⋮ Periodically time-varying memory static output feedback control design for discrete-time LTI systems ⋮ A fault detection observer design for LPV systems in finite frequency domain ⋮ Distributed control of inverter-based lossy microgrids for power sharing and frequency regulation under voltage constraints

Uses Software

• Matlab
• LMI toolbox
• Mu Analysis and Synthesis Toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Robust constrained model predictive control using linear matrix inequalities
• Robust control of linear systems with real parametric uncertainty
• Optimality conditions for nonconvex semidefinite programming
• Robust performance of systems with structured uncertainties in state space
• Global optimization for the biaffine matrix inequality problem
• Explicit controller formulas for LMI-based \(H_ \infty\) synthesis
• Low-order control design for LMI problems using alternating projection methods
• A new discrete-time robust stability condition
• A nonlinear SDP approach to fixed-order controller synthesis and comparison with two other methods applied to an active suspension system
• An LMI-Based Algorithm for Designing Suboptimal Static $\cal H_2/\cal H_\infty$ Output Feedback Controllers
• On the Global Convergence of the BFGS Method for Nonconvex Unconstrained Optimization Problems
• Low nonconvexity-rank bilinear matrix inequalities: algorithms and applications in robust controller and structure designs
• Optimal linear filtering under parameter uncertainty
• Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems
• H/sub infinity / control and quadratic stabilization of systems with parameter uncertainty via output feedback
• LMI-based controller synthesis: a unified formulation and solution
• Linear Matrix Inequalities in System and Control Theory
• ℋ_∞and ℋ₂guaranteed costs computation for uncertain linear systems
• Multiobjective output-feedback control via LMI optimization
• Global optimization for H/sub ∞/ control with constant diagonal scaling
• Robust controller synthesis via non-linear matrix inequalities
• D.C. optimization approach to robust control: Feasibility problems
• Control of LPV systems with partly measured parameters
• The dual iteration for fixed-order control
• H/sub 2/-norm optimization with constrained dynamic output feedback controllers: decentralized and reliable control
• Robust pole placement in LMI regions
• H₂ and $H_\infty$ Robust Filtering for Discrete-Time Linear Systems
• H/sub 2/ and H/sub ∞/ robust filtering for convex bounded uncertain systems
• Stochastic algorithms for exact and approximate feasibility of robust LMIs
• An Interior Point Constrained Trust Region Method for a Special Class of Nonlinear Semidefinite Programming Problems
• A convex characterization of gain-scheduled H/sub ∞/ controllers
• TheXY-centring algorithm for the dual LMI problem: a new approach to fixed-order control design
• Robust ℋ/sub ∞/ filtering for uncertain discrete-time state-delayed systems
• Branch-and-cut algorithms for the bilinear matrix inequality eigenvalue problem
• Explicit formulas for LMI-based \(H_2\) filtering and deconvolution

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