Journal ArticleDOI
Stochastic H/sub 2//H/sub /spl infin// control with state-dependent noise
Bor-Sen Chen,Weihai Zhang +1 more
TLDR
In this paper, the stochastic H/sub 2/H/sub /spl infin// control problem with state-dependent noise is discussed, and an observer-based suboptimal control algorithm is proposed.Abstract:
This paper discusses the stochastic H/sub 2//H/sub /spl infin// control problem with state-dependent noise By means of the stabilization, exact observability and stochastic detectability of stochastic systems, the infinite horizon stochastic H/sub 2//H/sub /spl infin// control design is developed For the finite horizon H/sub 2//H/sub /spl infin// control problem, our results generalize the corresponding deterministic ones to the stochastic models Finally, the observer-based suboptimal stochastic H/sub 2//H/sub /spl infin// control is discussed in which the state variables cannot be measured directly, and a feasible design algorithm is proposedread more
Citations
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Journal ArticleDOI
Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements
TL;DR: Using the Lyapunov method and stochastic analysis techniques, sufficient conditions are first derived to guarantee the existence of the desired controllers, and then the controller parameters are characterized in terms of linear matrix inequalities (LMIs).
Journal ArticleDOI
Robust H/sub /spl infin// filtering for nonlinear stochastic systems
TL;DR: In this article, the robust H/sub /spl infin// filtering analysis and synthesis of nonlinear stochastic systems with state and exogenous disturbance-dependent noise is described.
Journal ArticleDOI
State Feedback $H_\infty$ Control for a Class of Nonlinear Stochastic Systems
Weihai Zhang,Bor-Sen Chen +1 more
TL;DR: In this article, a control problem for a class of nonlinear stochastic systems with both state and disturbance-dependent noise was discussed, and the Hamilton-Jacobi equations were developed for infinite and finite-horizon control.
Journal ArticleDOI
Battery State-of-Charge Estimation Based on Regular/Recurrent Gaussian Process Regression
TL;DR: Novel machine-learning-based methods for estimating the state of charge (SoC) of lithium-ion batteries, which use the Gaussian process regression (GPR) framework, are presented, which show the superiority of the proposed methods in comparison to state-of-the-art techniques including a support vector machine, a relevance vectors machine, and a neural network.
Journal ArticleDOI
Generalized Lyapunov Equation Approach to State-Dependent Stochastic Stabilization/Detectability Criterion
TL;DR: In this paper, the generalized Lyapunov equation approach is used to study stochastic stabilization/detectability with state-multiplicative noise and some practical test criteria for stoChastic stabilization and detectability are obtained.
References
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Journal ArticleDOI
State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
TL;DR: In this article, simple state-space formulas are derived for all controllers solving the following standard H/sub infinity / problem: for a given number gamma > 0, find all controllers such that the H/ sub infinity / norm of the closed-loop transfer function is (strictly) less than gamma.
Journal ArticleDOI
L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
TL;DR: In this article, the results on L2-gain analysis of smooth nonlinear systems are unified and extended using an approach based on Hamilton-Jacobi equations and inequalities, and their relation to invariant manifolds of an associated Hamiltonian vector field.
Journal ArticleDOI
Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
TL;DR: In this paper, the problem of robustly stabilizing a linear uncertain system is considered with emphasis on the interplay between the time-domain results on the quadratic stabilization of uncertain systems and the frequency domain results on H/sup infinity / optimization.
Journal ArticleDOI
LQG control with an H/sup infinity / performance bound: a Riccati equation approach
TL;DR: In this article, an LQG (linear quadratic Gaussian) control-design problem involving a constraint on H/sup infinity / disturbance attenuation is considered, and an algorithm is developed for the full-order design problem and illustrative numerical results are given.
Journal ArticleDOI
Mixed H/sub 2//H/sub /spl infin// fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach
TL;DR: This study introduces a mixed H/sub 2//H/sub /spl infin// fuzzy output feedback control design method for nonlinear systems with guaranteed control performance using the Takagi-Sugeno fuzzy model to approximate a nonlinear system.