Output feedback H∞ control of sampled-data systems with parametric uncertainties
ABSTRACT This paper investigates the problem of output feedback robust Hinfin controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrix and input matrix. Attention is focused on the design of a causal output feedback sampled-data controller which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed Hinfin performance bound gamma for all admissible parametric uncertainties. Sufficient condition for the solvability of the problem is in terms of linear matrix inequalities (LMIs). It is shown that the desired output feedback Hinfin controller can be constructed by solving certain LMIs. An illustrative example is given to demonstrate the effectiveness of the proposed method.
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ABSTRACT: In this paper, we discuss the problem of robust stochastic stability and H∞ performance for a class of uncertain impulsive stochastic systems under sampled measurements. The parameter uncertainties are assumed to be time-varying and value-bounded. We give a sufficient condition in terms of certain linear matrix inequalities (LMIs) to guarantee the uncertain impulsive stochastic system to be robustly stochastically stable. Furthermore, we discuss a stochastically stable filter, using the locally sampled measurements, which ensures both the stochastic stability and a prescribed level of H∞ performance for the filtering error system for all admissible uncertainties. We give a sufficient condition for the existence of such a filter and an explicit expression of a desired filter if relevant conditions are satisfied.Chaos Solitons & Fractals 01/2005; · 1.25 Impact Factor
Chapter: Optimal Sampled-Data Control Systems01/1970; Springer.
Conference Proceeding: Output feedback control of sampled-data systems with parametric uncertainties[show abstract] [hide abstract]
ABSTRACT: The design of robust control for linear sampled-data systems with parametric uncertainty is considered. Emphasis is placed on linear dynamic output feedback controllers, and two problems are addressed. The first is robust stabilization while the second is H <sub>∞ </sub> synthesis in which both robust stability and robust performance in an H <sub>∞</sub> sense must be achieved. A technique is proposed for designing stabilizing controllers for both problems by converting them into H <sub>∞</sub> synthesis for sampled-data systems without parameter uncertaintiesDecision and Control, 1992., Proceedings of the 31st IEEE Conference on; 02/1992