Journal ArticleDOI
Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
Reads0
Chats0
TLDR
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
More filters
Journal ArticleDOI
Leader-following consensus conditions for fractional-order descriptor uncertain multi-agent systems with 0 < α < 2 via output feedback control
TL;DR: A consensus protocol is proposed based on output feedback when fractional-order α satisfies 0 and it is proposed that this protocol should be based on the output feedback of leader-following systems with descriptor linear dynamics.
Journal ArticleDOI
Robustness of minimax controllers to nonlinear perturbations
Z. Pan,Tamer Basar +1 more
TL;DR: In this article, the authors study the robustness of minimax controllers, originally designed for nominal linear or nonlinear systems, to unknown static nonlinear perturbations in the state dynamics, measurement equation, and performance index.
Journal ArticleDOI
Multivariable fractional order PID controller design via LMI approach
TL;DR: In this paper, the design problem of multivariable fractional-order (FO) PID controllers which guarantee the stability of the FO closed-loop systems is studied. And the authors transform the problem of FO PID controller design to that of static output feedback (SOF) controller design for an FO system in descriptor form.
Journal ArticleDOI
Observers for stabilization of systems with matched uncertainty
Faryar Jabbari,R.W. Benson +1 more
TL;DR: In this paper, the design of observer-based robust linear feedback controllers is studied, and sufficient conditions for obtaining control laws that stabilize the closed loop system, regardless of the size of the uncertainty entering the system matrix, while simultaneously guaranteeing arbitrarily small infinity norm for the transfer function from the plant disturbances to the outputs.
Journal ArticleDOI
Quadratic stability and stabilization of linear systems with Frobenius norm-bounded uncertainties
Joon Lee,Wook Kwon,Jaewon Lee +2 more
TL;DR: A Quadratic stability condition and a quadratic stabilizer are proposed for linear systems with Frobenius norm-bounded uncertainties and can be obtained by solving a Riccati equation.
References
More filters
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
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.
Journal ArticleDOI
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.
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
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.