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A method is presented for synthesizing output estimators for a class of continuous time, uncertain, linear parameter-varying (LPV) systems. The uncertain system is described as an interconnection of a nominal LPV system and a block structured perturbation. The nominal LPV system is “gridded” over the space of parameters, with the state matrices being arbitrary functions of the parameters. The input/output...
We analyze passivity of Linear Parameter Varying (LPV) systems in which certain regions of the parameter trajectory may be non-passive. It is shown that system passivity can be maintained if the system remains in passive parameter regions “sufficiently often”. Analytical conditions that ensure system passivity are derived in terms of the fractions of times spent in passive and non-passive regions...
Determining the induced ℒ2 norm of a linear, parameter-varying (LPV) system is an integral part of many analysis and robust control design procedures. In general, this norm cannot be determined explicitly. Most prior work has focused on efficiently computing upper bounds for the induced ℒ2 norm. This paper presents a complementary algorithm to compute lower bounds for this norm. The proposed approach...
A general approach is presented to analyze the worst case input/output gain for an interconnection of a linear parameter varying (LPV) system and an uncertain or nonlinear element. The input/output behavior of the nonlinear/uncertain block is described by an integral quadratic constraint (IQC). A dissipation inequality is proposed to compute an upper bound for this gain. This worst-case gain condition...
This paper considers the limits of disturbance rejection performance with preview information subject to actuator rate constraints. A one-state, continuous-time optimal control problem is formulated to investigate these limits. The optimal control action which minimizes the peak tracking error is explicitly characterized using Lagrange duality theory. In addition, the optimal tracking performance...
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