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
Positive real control problem for uncertain linear time-invariant systems
Lihua Xie,Yeng Chai Soh +1 more
TL;DR: In this paper, a linear dynamic output feedback controller that robustly stabilizes the uncertain system and achieves the extended strict positive realness property for a given closed-loop transfer function is presented.
Journal ArticleDOI
Delay-dependent robust H/sub /spl infin// control for uncertain time-delay systems
N.-J. Su,Hongye Su,Jian Chu +2 more
TL;DR: In this paper, robust stabilisability and H/sub /spl infin// control criteria are provided for a class of uncertain time-delay systems with multiple state delays Simpler and less conservative delay-dependent results given in terms of linear matrix inequalities (LMIs) are derived based on the Lyapunov-Krasovskii functional method and Riccati equation transformation technique
Journal ArticleDOI
Robust orbital transfer for low earth orbit spacecraft with small-thrust
Xuebo Yang,Huijun Gao,Peng Shi +2 more
TL;DR: A new Lyapunov approach is introduced, and the controller design problem is cast into a convex optimization problem subjects to linear matrix inequality (LMI) constraints, and with the obtained controller, the orbit transfer process can be accomplished with small thrust and the control cost has an upper bound simultaneously.
Journal ArticleDOI
Chattering Free Sliding Mode Control for Uncertain Discrete Time-Delay Singular Systems
TL;DR: In this article, the problem of chattering free sliding mode control for a class of uncertain discrete singular systems with state delay is investigated, and a new least squares support vector machine (LS-SVM) reaching law is proposed.
Journal ArticleDOI
Delay-dependent guaranteed-cost control based on combination of Smith predictor and equivalent-input-disturbance approach.
TL;DR: A new system configuration and a design method to improve control performance for a system with an input time delay and disturbances and a delay-dependent stability condition devised in terms of a matrix inequality by using the free-weighting matrix approach.
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.