Journal ArticleDOI
Minimax optimal control of uncertain systems with structured uncertainty
Andrey V. Savkin,Ian R. Petersen +1 more
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In this paper, a minimax control problem for an uncertain system containing structured uncertainties is considered, where the uncertainties in this system are assumed to satisfy a certain integral quadratic constraint, and the minimax optimal controller is constructed by solving a parameter-dependent Riccati equation of the game type.Abstract:
This paper considers a minimax control problem for an uncertain system containing structured uncertainties. The uncertainties in this system are assumed to satisfy a certain integral quadratic constraint. For a given initial condition, the minimax optimal controller is constructed by solving a parameter-dependent Riccati equation of the game type. This controller leads to a closed-loop uncertain system which is absolutely stable.read more
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Line-of-sight path following of underactuated marine craft
TL;DR: In this article, a 3 degrees of freedom nonlinear controller for path following of marine craft using only two controls is derived using nonlinear control theory using a geometric assignment based on a line-of-sight projection algorithm for minimization of the cross-track error to the path.
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Minimax optimal control of stochastic uncertain systems with relative entropy constraints
TL;DR: This paper solves problems of worst-case robust performance analysis and output feedback minimax optimal controller synthesis in a general nonlinear setting and shows that the minimax LQG problem will have a solution if and only if a corresponding H/sup /spl infin// control problem has a solution.
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Decentralized control of power systems via robust control of uncertain Markov jump parameter systems
TL;DR: In this article, the authors considered the problem of decentralized control of interconnected power systems under large changes in real and reactive loads that cause large structural changes in the system model and provided necessary and sufficient conditions for the existence of a decentralized controller which stabilizes the overall system and guarantees its optimal robust performance.
Journal ArticleDOI
Decentralized robust control of uncertain Markov jump parameter systems via output feedback
Li Li,Valery Ugrinovskii +1 more
TL;DR: It is shown that the feasibility of a parametrized collection of mode-dependent coupled algebraic Riccati equations and inequalities are both sufficient and necessary for the existence of a robust decentralized switching controller.
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Recursive state estimation for uncertain systems with an integral quadratic constraint
Andrey V. Savkin,Ian R. Petersen +1 more
TL;DR: This paper considers a robust state estimation problem for a class of uncertain systems where the noise and uncertainty are modeled deterministically via an integral quadratic constraint.
References
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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
H/sup /spl infin//-0ptimal Control and Related Minimax Design Problems: A Dynamic Game Approach
T. Basar,P. Bernhard +1 more
TL;DR: The authors believe that the H-infinity-optimal control theory is now at a stage where it can easily be incorporated into a second-level graduate course in a control curriculum, that would follow a basic course in linear control theory covering LQ and LQG designs.
Journal ArticleDOI
A Riccati equation approach to the stabilization of uncertain linear systems
TL;DR: The fundamental idea behind the algorithm presented involves constructing an upper bound for the Lyapunov derivative corresponding to the closed loop system, a quadratic form, which can be found by solving a certain matrix Riccati equation.
Journal ArticleDOI
Adaptive guaranteed cost control of systems with uncertain parameters
Sheldon S. L. Chang,T. Peng +1 more
TL;DR: Guaranteed cost control is a method of synthesizing a closed-loop system in which the controlled plant has large parameter uncertainty as mentioned in this paper, and it can be incorporated into an adaptive system by either online measurement and evaluation or prior knowledge on the parametric dependence of a certain easily measured situation parameter.
Journal ArticleDOI
Robust H/sub infinity / control for linear systems with norm-bounded time-varying uncertainty
Lihua Xie,E. de Souza Carlos +1 more
TL;DR: In this article, a robust H/sub infinity / control design for linear systems with uncertainty in both the state and input matrices is treated, and a state feedback control design which stabilizes the plant and guarantees an H/ sub infinity /-norm bound constraint on disturbance attenuation for all admissible uncertainties is presented.
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