Journal ArticleDOI
All fixed-order H/sub /spl infin controllers: observer-based structure and covariance bounds
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This note obtains a parameterization of the set of all stabilizing controllers of order less than or equal to the plant, which yields for the closed-loop transfer matrix a specified H/sub /spl infin norm bound.Abstract:
This note obtains a parameterization of the set of all stabilizing controllers of order less than or equal to the plant, which yields for the closed-loop transfer matrix a specified H/sub /spl infin norm bound. The algebraic results of covariance control are applied to the H/sub /spl infin control problem to yield a parameterization in terms of the Lyapunov matrix, which carries many system properties (such as H/sub 2/ performance, covariance bounds, system entropy at infinity, etc.). All low-order H/sub /spl infin controllers are shown to have observer-based structure for "reduced-order models" of the plant and are characterized by two Riccati equations with a coupling condition. >read more
Citations
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Journal ArticleDOI
Stability analysis of swarms
Veysel Gazi,Kevin M. Passino +1 more
TL;DR: It is shown that the individuals (autonomous agents or biological creatures) will form a cohesive swarm in a finite time and an explicit bound on the swarm size is obtained, which depends only on the parameters of the swarm model.
Journal ArticleDOI
Controller Synthesis Free of Analytical Models: Three Term Controllers
TL;DR: It is shown that the complete set of stabilizing proportional-integral-derivative and first-order controllers for a finite dimensional linear time-invariant plant can be calculated directly from the frequency response (Nyquist/Bode) data P(jomega) for omega epsi [0, infin).
Journal ArticleDOI
Parameter dependent stability and stabilization of uncertain time-delay systems
Emilia Fridman,Uri Shaked +1 more
TL;DR: A new robust delay dependent stability test is introduced that determines the asymptotic stability of linear systems with state delays by providing an efficient sufficient condition for the stability of the system over the uncertainty polytope.
Journal ArticleDOI
Brief Synthesis of H∞ PID controllers: A parametric approach
TL;DR: This paper considers the problem of synthesizing proportional-integral-derivative (PID) controllers for which the closed-loop system is internally stable and the H"~-norm of a related transfer function is less than a prescribed level for a given single-input single-output plant, and shows that the problem can be solved.
Journal ArticleDOI
PID controller design for robust performance
Ming-Tzu Ho,Chia-Yi Lin +1 more
TL;DR: This note is devoted to the problem of synthesizing proportional-integral-derivative (PID) controllers for robust performance for a given single-input-single-output plant in the presence of uncertainty.
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.
Proceedings ArticleDOI
State-space solutions to standard H 2 and H ∞ control problems
TL;DR: In this article, simple state-space formulas are presented for a controller solving a standard H∞-problem, where the controller has the same state-dimension as the plant, its computation involves only two Riccati equations, and it has a separation structure reminiscent of classical LQG theory.
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
State-space formulae for all stabilizing controllers that satisfy and H ∞ norm bound and relations to risk sensitivity
Keith Glover,John Doyle +1 more
TL;DR: In this paper, the relationship between robust and stochastic control is established, giving an equivalence between robust control and control with respect to the Riccati Equation (RCE).