Journal ArticleDOI
Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
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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.Abstract:
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. A complete solution to a certain quadratic stabilization problem in which uncertainty enters both the state and the input matrices of the system is given. Relations between these robust stabilization problems and H/sup infinity / control theory are explored. It is also shown that in a number of cases, if a robust stabilization problem can be solved via Lyapunov methods, then it can be also be solved via H/sup infinity / control theory-based methods. >read more
Citations
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Journal ArticleDOI
On designing controllers for a class of uncertain sampled-data nonlinear systems
Lihua Xie,P. Shi,C.E. de Souza +2 more
TL;DR: In this paper, a robust control of a class of sampled-data nonlinear systems with real-time-varying parameter uncertainty and unknown cone-bounded nonlinearity is studied.
Journal ArticleDOI
Robust H/sub 2//H/sub /spl infin//-state estimation for systems with error variance constraints: the continuous-time case
Zidong Wang,Heinz Unbehauen +1 more
TL;DR: The problem is to design a linear state estimator such that, for all admissible measurable perturbations, the variance of the estimation error of each state is not more than the individual prespecification value, and the transfer function from disturbances to error state outputs satisfies the prespecified H/sub /spl infin// norm upper bound constraint, simultaneously.
Journal ArticleDOI
Research on robust fault-tolerant control for networked control system with packet dropout
Huo Zhihong,Fang Hua-jing +1 more
TL;DR: In this article, a kind of networked control system with network-induced delay and packet dropout, modeled on asynchronous dynamical systems was tested, and the integrity design of the networked controller system with sensors failures and actuators failures was analyzed using hybrid systems technique based on the robust fault-tolerant control theory.
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Robust regulation in the presence of norm-bounded uncertainty
TL;DR: It is shown that a solution to a certain multiobjective problem where one objective is robust regulation and the other is the standard objective of H/ sub /spl infin// suboptimal control exists if and only if the standard H/sub /spl Infin// problem admits a solution and certain matrix inequalities are satisfied.
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Robust synchronization of fractional-order complex dynamical networks with parametric uncertainties
TL;DR: In this paper, robust synchronization of fractional-order complex dynamical networks with parametric uncertainties is investigated based on the properties of the kronecker product and the stability of the fractional order system, the robust synchronization criteria are derived by applying the nonlinear control.
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.
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A stabilization algorithm for a class of uncertain linear systems
TL;DR: In this paper, the authors present an algorithm for the stabilization of a class of uncertain linear systems, which is described by state equations which depend on time-varying unknown-but-bounded uncertain parameters.
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Least squares stationary optimal control and the algebraic Riccati equation
TL;DR: In this paper, the optimal control of linear systems with respect to quadratic performance criteria over an infinite time interval is treated, and the integrand of the performance criterion is allowed to be fully quadratically in the control and the state without necessarily satisfying the definiteness conditions which are usually assumed in the standard regulator problem.
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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.
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Root locations of an entire polytope of polynomials: It suffices to check the edges
TL;DR: It is shown that the root locations of the entire family can be completely determined by examining only the roots of the polynomials contained in the exposed edges of the polytope.