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This paper considers the problem of designing a robust H∞ static output feedback controller for polynomial systems with parametric uncertainties. Sufficient conditions for the existence of a nonlinear H∞ static output feedback controller are given in terms of solvability conditions of polynomial matrix inequalities. An iterative sum of squares decomposition is proposed to solve these polynomial matrix...
The design of a robust nonlinear H∞ static output feedback controller for parameter dependent polynomial systems is a hard problem. This paper presents a computational relaxation in form of an iterative design approach. The proposed controller guarantees the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions...
An iterative approach for the design of a nonlinear H∞ static output feedback controller for polynomial systems is presented in this paper. The proposed controller guarantees the L2-gain of the mapping from exogenous input noise to the controlled output is less than or equal to a prescribed value. The sufficient conditions for the existence of nonlinear H∞ static output feedback controller are given...
This paper examines the problem of designing a nonlinear static output feedback controller for uncertain polynomial systems via an iterative sums of squares approach. The derivation of the static output feedback controller is given in terms of the solvability conditions of state dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the sum of squares (SOS) decomposition is...
This paper is concerned with the stability and stabilizability problems of networked control systems(NCSs) with multiple quantizers. More precisely, the system and controller outputs are quantized at different quantization levels and experiencing different network-induced delays. This configuration is more natural in NCSs. Network-induced delays and packet dropouts are modeled by a Markov chain. Quantization...
Quantizers with coarser quantization densities are helpful in reducing network congestion. In this paper, we investigate the problem of designing a robust H∞ output feedback controller for discrete-time networked systems with an adaptive quantization density or limited information. A Markov process is used to model the randomness of the network load condition and a Bernoulli process is used to model...
This paper presents an iterative sum of squares approach for designing a nonlinear static output feedback control for polynomial systems. In this work, the problem of designing a nonlinear static output feedback controller is converted into solvability conditions of polynomial matrix inequalities. An iterative algorithm based on the sum of squares decomposition technique is proposed to resolve the...
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