A direct characterization of L/sub 2/-gain controllers for LPV systems

Köse, İ. Emre; Jabbari, Faryar; Schmitendorf, W. E.

doi:10.1109/9.718622

Cited by 54 publications

(35 citation statements)

References 16 publications

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“…D "0) is used due to the fact that a direct feed-through from the sensors may lead to undesirable levels of noise in the control. Furthermore, in many applications, the use of a strictly proper control does not result in any loss of generality [25,34]. As a result, in the design of output feedback control laws, we only consider the strictly proper controllers, which also simpli"es the exposition a great deal.…”

Section: Output Feedbackmentioning

confidence: 99%

“…Due to linearity, however, it su$ces to have the inequality hold only at the vertices of the parameter set (see Reference [34] for details). As a result, Equation (20) represents a number of linear matrix inequalities (e.g.…”

Section: State Feedback Controllersmentioning

confidence: 99%

“…Once,¸, >, X, F and G are found such that Equation (23) and (24) are satis"ed, one set of controller matrices that yield the desired reliable performance is obtained from the following (see Reference [33,34]):…”

Section: Output Feedbackmentioning

confidence: 99%

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Control design for seismically excited buildings: sensor and actuator reliability

Alt

Jabbari

Yang

2000

Earthquake Engng. Struct. Dyn.

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SUMMARYIn this paper we present control design methods that provide desirable levels of performance and simultaneously account for actuator and sensor reliability (or malfunction) for buildings under seismic excitations. Performance is de"ned in terms of the disturbance attenuation (i.e.¸ gain) from the disturbances to the controlled outputs of the system. The reliability of actuators and sensors refers to the deviation of actual control forces or actual sensor measurements from their ideal levels. Simulation results for a six-storey building are used to demonstrate the e!ectiveness of the control analysis and design method presented.

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Section: Output Feedbackmentioning

confidence: 99%

Section: State Feedback Controllersmentioning

confidence: 99%

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Control design for seismically excited buildings: sensor and actuator reliability

Alt

Jabbari

Yang

2000

Earthquake Engng. Struct. Dyn.

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“…It follows from (22), if a stability condition is affine dependent on _ hðtÞ, then the only need is to check the vertex values of _ hðtÞ instead of checking all the values of _ hðtÞ [43]. From expressions (12)-(22), we can get…”

Section: Problem Formulationmentioning

confidence: 99%

“…However, the introduced free-weighing matrices increase the calculation complexity as well as computational complexity. For the RNNs with interval time-varying delays, work [43] has contributed an improved stability criterion by construction of a suitable augmented LKF and utilization of Wirtinger-based integral inequality with reciprocally convex approach. Following the work [37], both the ability and the performance of neural networks are influenced considerably by the choice of the activation functions.…”

Section: Introductionmentioning

confidence: 99%

New delay-dependent stability criteria for recurrent neural networks with time-varying delays

et al. 2015

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a b s t r a c tThis work is concerned with the delay-dependentstability problem for recurrent neural networks with time-varying delays. A new improved delay-dependent stability criterion expressed in terms of linear matrix inequalities is derived by constructing a dedicated Lyapunov-Krasovskii functional via utilizing Wirtinger inequality and convex combination approach. Moreover, a further improved delay-dependent stability criterion is established by means of a new partitioning method for bounding conditions on the activation function and certain new activation function conditions presented. Finally, the application of these novel results to an illustrative example from the literature has been investigated and their effectiveness is shown via comparison with the existing recent ones.

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Delay‐dependent H_∞ control of parameter‐varying delayed systems via parameter‐dependent Lyapunov function approach

Zhou

Zheng

2009

Asian Journal of Control

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The H ∞ control problem of parameter-varying delayed systems is investigated in this paper. The state-space matrices of the systems are assumed to be dependent on a vector of time-varying real parameters which are assumed to be real-time measurable. The delays related to the parameter-varying systems are assumed to be unknown but with known upper bounds and to be in the states and control inputs. A delay-dependent H ∞ performance condition of the system under consideration is derived by using a new parameter-dependent Lyapunov function. Based on the H ∞ performance condition, a linear matrix inequality (LMI) based H ∞ control strategy is proposed by using auxiliary variable technique. The combined parameter-dependent and delay-dependent results are less conservative due to the generality of the parameter-dependent and delay-dependent Lyapunov function used, which includes the parameterindependent one as a special case. It is shown that the underling H ∞ control problem can be solved as LMI optimization problems that can be numerically computed very efficiently. A numerical example is also given to demonstrate the applicability of the proposed approach.

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A direct characterization of L/sub 2/-gain controllers for LPV systems

Cited by 54 publications

References 16 publications

Control design for seismically excited buildings: sensor and actuator reliability

Control design for seismically excited buildings: sensor and actuator reliability

New delay-dependent stability criteria for recurrent neural networks with time-varying delays

Delay‐dependent H_∞ control of parameter‐varying delayed systems via parameter‐dependent Lyapunov function approach

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A direct characterization of L/sub 2/-gain controllers for LPV systems

Cited by 54 publications

References 16 publications

Control design for seismically excited buildings: sensor and actuator reliability

Control design for seismically excited buildings: sensor and actuator reliability

New delay-dependent stability criteria for recurrent neural networks with time-varying delays

Delay‐dependent H∞ control of parameter‐varying delayed systems via parameter‐dependent Lyapunov function approach

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Delay‐dependent H_∞ control of parameter‐varying delayed systems via parameter‐dependent Lyapunov function approach