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Design and validation of a linear parameter varying localization system
2014 IEEE International Conference on Autonomous Robot Systems and Competitions (ICARSC), 2014This paper proposes and experimentally validates a landmark-based absolute mobile robot localization system, composed by two filters, one for attitude estimation and the other for position estimation. The estimation is carried out in the body-frame allowing for the model kinematics to be LPV (Linear Parameter Varying), thus using no approximate ...
João Barbosa +4 more
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Set-valued methods for linear parameter varying systems
Automatica, 1999The following linear parameter varying (LPV) system \[ x(k+1) \in F(\theta (k)) \left( x(k) u(k)\right) +B_1d(k), x(0)=x_0, \] \[ \theta (k+1)\in Q(\theta (k)), \theta (0)=\theta _0, \quad z(k)=\left( Cx(k) Du(k) \right) \] is considered where \(u\) is a control, \(d\) is a disturbance, \(z\) is a regulated output and \(F\) and \(Q\) are set-valued ...
Jeff S. Shamma, Dapeng Xiong
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Parameter Dependent Lyapunov functions for stability of Linear Parameter Varying systems
2010 17th IEEE International Conference on Electronics, Circuits and Systems, 2010the problem in this paper consists in developing a new robust stability condition for Linear Parameter Varying (LPV) continuous systems, under polytopic uncertainty structure. The main skill is the use of Parameter Dependent Lyapunov functions with (PDLFs) particular forms.
Nedia Aouani +3 more
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Distributed control for distributed linear parameter varying systems
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001Considers stability analysis and performance control for distributed systems with time and spatial varying parameters. The distributed linear parameter-varying (LPV) system depends on the parameters in linear fractional transformation form. The parameters are assumed measurable in real-time for controller use.
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Linear Parameter-Varying System Identification: The Subspace Approach
2012In the past two decades, a significant amount of research has been carried out on Linear Parameter-Varying (LPV) systems. It has been shown that LTI control synthesis techniques like optimal and robust control can be extended to the LPV case. Notwithstanding the advances in LPV control, the identification of such systems is still not completely ...
CORNO, MATTEO +2 more
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Statistical Behavior of Linear Systems with Randomly Varying Parameters
Journal of Mathematical Physics, 1963We consider an nth-order system of ordinary linear differential equations whose coefficients are random functions of the time. In particular, we discuss the case where each of these coefficients is a random noise. A differential equation for the probability distribution of the solutions of the random D. E.
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Sufficient conditions for stability of linear time-varying systems
Systems and Control Letters, 1987D H Owens
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Discrete-time H∞ control of linear parameter-varying systems
International Journal of Control, 2019Mauricio de Oliveira, Amit Pandey
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Decentralized stabilization of linear time-varying systems
IEEE Transactions on Automatic Control, 1980D Šiljak
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