In between the \(LQG/H_2\)- and \(H_{\infty } \)-control theories
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Publication:2034820
DOI10.1134/S0005117921040019zbMath1466.93041OpenAlexW3156940138MaRDI QIDQ2034820
Publication date: 23 June 2021
Published in: Automation and Remote Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0005117921040019
optimal controllinear systemrobust stabilizationrobust stabilityrobust controlbounded real lemmadescriptor systeminformation theorycolored noiserobust filteringsuboptimal controlexternal disturbance rejectionsystem with uncertainties
(H^infty)-control (93B36) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) System structure simplification (93B11) Robust stability (93D09)
Uses Software
Cites Work
- Suboptimal anisotropic filtering in a finite horizon
- Shaping filter design with a given mean anisotropy of output signals
- Asymptotics of the anisotropic norm of linear time-independent systems
- Minimax filtering: \(\gamma_0\)-optimal observers and generalized \(H_\infty\)-optimal filters
- Axiomatisation of fully probabilistic design
- Robust control of uncertain systems: classical results and recent developments
- Anisotropy-based suboptimal filtering for the linear discrete time-invariant systems
- Anisotropic controller design for descriptor systems with respect to the output variable
- Design of optimal and robust control with \(H_\infty/\gamma_0\) performance criterion
- Multichannel synthesis problems for anisotropic control
- Anisotropy-based suboptimal state-feedback control design using linear matrix inequalities
- A course in \(H_{\infty}\) control theory
- Robust controllers for uncertain linear multivariable systems
- Calculation of the anisotropic norm of the descriptor system
- Towards fully probabilistic control design
- Dynamic programming and stochastic control
- Mixed-norm \(H_ 2/H_{\infty}\) regulation and estimation: The discrete- time case
- Solutions to the \(H_{\infty}\) general distance problem which minimize an entropy integral
- Robust control design for suppressing random exogenous disturbances in parametrically uncertain linear systems
- Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems
- Solution of the stochastic \(H_{\infty }\)-optimization problem for discrete time linear systems under parametric uncertainty
- Discrete time \({\mathcal H}_\infty\) controllers satisfying a minimum entropy criterion
- Finding the strongly rank-minimizing solution to the linear matrix inequality
- On the relationship between the problem of anisotropy-based controller synthesis and classical optimal control problems
- Robust stabilization approach and \(H_{\infty}\) performance via static output feedback for a class of nonlinear systems
- State-space formulae for all stabilizing controllers that satisfy an \(H_{\infty}\)-norm bound and relations to risk sensitivity
- Relations between maximum-entropy/\(H_{\infty}\) control and combined \(H_{\infty}/LQG\) control
- Extension of linear-quadratic control, optimization and matrix theory
- Problem of search of the minimum of entropy in indeterminate extension problems
- On the discrete-time bounded real lemma with application in the characterization of static state feedback \(H_ \infty\) controllers
- Singular control systems
- Robust controller design using normalized coprime factor plant descriptions
- Finite horizon minimax optimal control of stochastic partially observed time varying uncertain systems
- \(H_\infty\) control for discrete-time linear systems with Frobenius norm-bounded uncertainties
- Optimization by frequency-uniform criteria (\(H\)-theory)
- Anisotropy of signals and entropy of linear stationary systems
- Minimum entropy control for discrete-time time-varying systems
- An efficient solution to multi-objective control problems with LMI objectives
- Robust \(H_{\infty}\) minimum entropy static output-feedback control of singularly perturbed systems
- Control of linear systems with regulation and input constraints
- Robust output feedback stabilization via risk-sensitive control
- Synthesis of anisotropic suboptimal control for linear time-varying systems on finite time horizon
- Control of discrete-time descriptor systems. An anisotropy-based approach
- A solution to anisotropic suboptimal filtering problem by convex optimization
- Anisotropic suboptimal control for systems with linear-fractional uncertainty
- Entropy-minimising and risk-sensitive control rules
- The full information and state feedback \(H_{2}\) optimal controllers for descriptor systems.
- Hardy approximation to \(L^ \infty\) functions on subsets of the circle
- Generalized \(H _{\infty }\)-optimal filtering under external and initial perturbations
- Control and estimation under information constraints: toward a unified theory of control, computation and communications
- Direct method of constructing \(H_2\)-suboptimal controllers: discrete-time systems.
- Suboptimal anisotropic filtering for linear discrete nonstationary systems with uncentered external disturbance
- A spectral method of the analysis of linear control systems
- Anisotropy-based analysis for finite horizon time-varying systems with non-centered disturbances
- Robust stability of linear discrete stationary systems with uncertainty bounded in the anisotropic norm
- Robust control and filtering of singular systems.
- Structure-preserving model reduction using a Krylov subspace projection formulation
- Robust \(h_{\infty }\) control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers
- Robust finite horizon minimax filtering for discrete-time stochastic uncertain systems
- Mixed \(\mathcal H_2/\mathcal H_{\infty}\) control: the discrete-time case
- Fully probabilistic control design
- Conditions of anisotropic norm boundedness for descriptor systems
- Optimization of stochastic systems. Topics in discrete-time systems
- Analytic controller design. II
- Analytic controller design. III
- Introduction to stochastic control theory
- Robust control design with MATLAB. With CD-ROM.
- \(H_\infty\) control and estimation of state-multiplicative linear systems.
- On the worst-case disturbance of minimax optimal control
- The linear-quadratic optimal regulator for descriptor systems
- Disturbance attenuation and<tex>H^{∞}</tex>optimization: A design method based on the algebraic Riccati equation
- A new set of invariants for linear systems--Application to reduced order compensator design
- Entropy and Information Theory
- Anisotropy-based performance analysis of linear discrete time invariant control systems
- Solution of the H/sub infinity / optimal linear filtering problem for discrete-time systems
- On a Certain Linear Fractional Transformation
- A generalized state-space for singular systems
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Filtering and LQG problems for discrete-time stochastic singular systems
- State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
- Optimal Control of Partially Observable Stochastic Systems with an Exponential-of-Integral Performance Index
- The optimal projection equations for model reduction and the relationships among the methods of Wilson, Skelton, and Moore
- A hamiltonian formulation of risk-sensitive Linear/quadratic/gaussian control
- LQG control with an H/sup infinity / performance bound: a Riccati equation approach
- Multivariable feedback design: Concepts for a classical/modern synthesis
- A Generalized Eigenvalue Approach for Solving Riccati Equations
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
- Necessary and sufficient condition for robust stability of linear distributed feedback systems†
- Risk-sensitive linear/quadratic/gaussian control
- State-space approach to discrete-time,ℋ∞control
- Filtering and smoothing in an H/sup infinity / setting
- A transfer function approach to the problems of discrete-time systems: H/sub infinity /-optimal linear control and filtering
- Mixed H/sub 2//H/sub infinity / control: a convex optimization approach
- Frequency weighted model reduction via optimal projection
- Pole assignment by gain output feedback
- Robustness with observers
- State-space solution of the discrete-time minimum entropy control problem via separation
- Entropy formulation of optimal and adaptive control
- A linear matrix inequality approach to H∞ control
- Mixed ℋ/sub 2/ and ℋ/sub ∞/ performance objectives. I. Robust performance analysis
- Mixed ℋ/sub 2/ and ℋ/sub ∞/ performance objectives. II. Optimal control
- Linear Matrix Inequalities in System and Control Theory
- Minimum entropy static output-feedback control with an H/sub ∞/-norm performance bound
- Multiobjective output-feedback control via LMI optimization
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
- Controller approximation: approaches for preserving H/sub ∞/ performance
- The relationship between minimum entropy control and risk-sensitive control for time-varying systems
- An approximate approach to H/sup 2/ optimal model reduction
- Minimax optimal control of stochastic uncertain systems with relative entropy constraints
- Minimax LQG Control of Stochastic Partially Observed Uncertain Systems
- H/sub 2/ near-optimal model reduction
- Robust and reliable H infinity controllers for discrete-time systems with parameter uncertainty and actuator failure
- On upper estimate of anisotropic norm of uncertain system with application to stochastic robust control
- An Entropy Formula for Time-Varying Discrete-Time Control Systems
- Derivation of the maximum entropyH∞-controller and a state-space formula for its entropy
- On Minimization and Maximization of Entropy in Various Disciplines
- Frequency-weighted ℒ/sub ∞/ norm and optimal Hankel norm model reduction
- Mixed H2/H∞ filtering
- Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games
- Fractional balanced reduction: model reduction via fractional representation
- KOLMOGOROV'S WORK ON $ \varepsilon$-ENTROPY OF FUNCTIONAL CLASSES AND THE SUPERPOSITION OF FUNCTIONS
- Robust H 2 and H ∞ control of discrete-time systems with polytopic uncertainties via dynamic output feedback
- Stochastic integral
- The analytical design of control systems
- \(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach.
- Control theory for linear systems
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