Journal ArticleDOI
Guaranteed cost LQG control of uncertain linear systems
Ian R. Petersen
- Vol. 142, Iss: 2, pp 95-102
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TLDR
In this article, a Riccati equation approach to the output feedback quadratic stabilisation of an uncertain system is presented, which involves the minimisation of a certain bound on an LQG cost function.Abstract:
The paper presents a Riccati equation approach to the output feedback quadratic stabilisation of an uncertain system. The uncertain systems under consideration depend on a norm-bounded time-varying matrix of uncertain parameters. A feature of the approach taken is that it involves the minimisation of a certain bound on an LQG cost function. The results were obtained by combining results on an optimal guaranteed cost linear quadratic regulator problem for uncertain systems and an optimal guaranteed cost state estimation problem for uncertain systems.read more
Citations
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Journal ArticleDOI
Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays
Xinping Guan,Cailian Chen +1 more
TL;DR: A guaranteed cost control method for nonlinear systems with time-delays which can be represented by Takagi-Sugeno (T-S) fuzzy model which guarantees that the controller without any delay information can stabilize time-delay T-S fuzzy systems is introduced.
Journal ArticleDOI
Technical Communique: An LMI approach to guaranteed cost control of linear uncertain time-delay systems
TL;DR: A convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system.
Journal ArticleDOI
Optimal guaranteed cost control of discrete-time uncertain systems with both state and input delays
Li Yu,Furong Gao +1 more
TL;DR: The guaranteed cost control problem is studied for a class of uncertain linear discrete-time systems with both state and input delays and a given quadratic cost function to design a memoryless state feedback control law.
Journal ArticleDOI
Optimal guaranteed cost control of uncertain discrete time-delay systems
TL;DR: In this paper, the authors considered the problem of robust guaranteed cost control of linear discrete time-delay systems with parametric uncertainties and developed a control design method such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays.
Journal ArticleDOI
An LMI approach to output-feedback-guaranteed cost control for uncertain time-delay systems
Said H. Esfahani,Ian R. Petersen +1 more
TL;DR: In this paper, the problem of output-feedback-guaranteed cost controller design for uncertain time-delay systems is considered and sufficient conditions for the construction of a guaranteed cost controller are provided in terms of the feasibility of LMIs which depend on a positive definite matrix and a scaling variable.
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