The Constrained Lyapunov Problem and its Application to Robust Output Feedback Stabilization
Alberto Galimidi,B. Ross Barmish +1 more
- Vol. 22, Iss: 22, pp 433-439
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In this paper, the authors show that solvability of various output feedback design problems is equivalent to existence of a solution to a Constrained Lyapunov Problem (CLP).Abstract:
Given a dynamical system whose description includes time-varying uncertain parameters, it is often desirable to design an output feedback controller leading to uniform stability of a given equilibrium point. When designing such a controller, one may consider static (i.e., memoryless) or dynamic compensation. In this paper, we show that solvability of various output feedback design problems is equivalent to existence of a solution to a certain Constrained Lyapunov Problem (CLP). The CLP can be stated in purely algebraic terms. Once the CLP is described, we provide necessary and sufficient conditions for its solution to exist. Subsequently, we consider application of the CLP to a number of robust stabilization problems involving static output feedback and observer-based feedback.read more
Citations
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Quantized output feedback stabilization of uncertain systems with input nonlinearities via sliding mode control
Bo-Chao Zheng,Guang-Hong Yang +1 more
TL;DR: In this article, a quantized output feedback stabilization problem for a class of uncertain systems with nonsmooth nonlinearities in the actuator device via sliding mode control schemes is considered.
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Numerical Methods for H2 Related Problems
TL;DR: An interior point algorithm for the solution of these convex programs with a finite number of variables is presented and its application with the standard LQR design is illustrated.
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Output feedback variable structure control for a class of uncertain switched systems
TL;DR: In this paper, the output feedback variable structure control problem for a class of uncertain switched systems is considered and a single sliding surface is constructed using only output information, and robust stability of the sliding motion is achieved and complete invariance to the matched and the mismatched uncertainties is guaranteed via a hysteresis switching law based on a reduced order observer.
Proceedings ArticleDOI
Numerical Methods for H 2 Related Problems
TL;DR: An interior point algorithm for the solution of these convex programs with a finite number of variables is presented and its application with the standard LQR design is illustrated.
Proceedings ArticleDOI
Robust Output-Feedback Stabilization: Deterministic and Stochastic Perspectives
TL;DR: In this article, three parallel gaps in feedback control theory are examined: sufficiency versus necessity, deterministic versus stochastic modelling, and guaranteed robustness versus performance, and necessary and sufficient conditions for the deterministic robust stabilization problem are derived as a consequence of minimizing a quadratic cost criterion.
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