Observability of nonlinear systems

Hans-Wilhelm Knobloch

Displaying similar documents to “Observability of nonlinear systems”

A tracking controller design with preview action for a class of nonlinear Lur'e systems with time-varying delays and external disturbances

Xiao Yu, Fucheng Liao (2021)

Kybernetika

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In this paper, the tracking control problem for a class of discrete-time nonlinear Lur’e systems with time-varying delays and external disturbances is studied via a preview control method. First, a novel translation approach is introduced to construct the augmented error system for Lur’e systems. The output tracking problem is thereby transformed into a guaranteed cost $H_{\infty}$ controller design problem. To produce an integral control action that can eliminate the static error, a discrete integrator...

Controlled functional differential equations : approximate and exact asymptotic tracking with prescribed transient performance

Eugene P. Ryan, Chris J. Sangwin, Philip Townsend (2009)

ESAIM: Control, Optimisation and Calculus of Variations

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A tracking problem is considered in the context of a class $𝒮$ of multi-input, multi-output, nonlinear systems modelled by controlled functional differential equations. The class contains, as a prototype, all finite-dimensional, linear, $m$ -input, $m$ -output, minimum-phase systems with sign-definite “high-frequency gain”. The first control objective is tracking of reference signals $r$ by the output $y$ of any system in $𝒮$ : given $λ \geq 0$ , construct a feedback strategy which ensures that, for every $r$ ...

Model following control system with time delays

Dazhong Wang, Shujing Wu, Wei Zhang, Guoqiang Wang, Fei Wu, Shigenori Okubo (2016)

Kybernetika

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Design of model following control system (MFCS) for nonlinear system with time delays and disturbances is discussed. In this paper, the method of MFCS will be extended to nonlinear system with time delays. We set the nonlinear part $f (v (t))$ of the controlled object as $| | f (v (t)) | | \leq α + {β | | v (t) | |}^{γ}$ , and show the bounded of internal states by separating the nonlinear part into $γ \geq 0$ . Some preliminary numerical simulations are provided to demonstrate the effectiveness of the proposed method.

Tube-MPC for a class of uncertain continuous nonlinear systems with application to surge problem

Masoud Taleb Ziabari, Mohammad Reza Jahed-Motlagh, Karim Salahshoor, Amin Ramezani, Ali Moarefianpour (2017)

Kybernetika

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This paper presents a new robust adaptive model predictive control for a special class of continuous-time non-linear systems with uncertainty. These systems have bounded disturbances with unknown upper bound, as well as constraints on input states. An adaptive control is used in the new controller to estimate the system uncertainty. Also, to avoid the system disturbances, a $H_{\infty}$ method is employed to find the appropriate gain in Tube-MPC. Finally, a surge avoidance problem in centrifugal...

Output feedback $H_{\infty}$ control of networked control systems based on two channel event-triggered mechanisms

Yanjun Shen, Zhenguo Li, Gang Yu (2021)

Kybernetika

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In this paper, we study dynamical output feedback $H_{\infty}$ control for networked control systems (NCSs) based on two channel event-triggered mechanisms, which are proposed on both sides of the sensor and the controller. The output feedback $H_{\infty}$ controller is constructed by taking random network-induced delays into consideration without data buffer units. The controlled plant and the output feedback controller are updated immediately by the sampled input and the sampled output, respectively. By...

Improving the performance of semiglobal output controllers for nonlinear systems

Abdallah Benabdallah, Walid Hdidi (2017)

Kybernetika

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For a large class of nonlinear control systems, the main drawback of a semiglobal stabilizing output feedback controllers ${(𝒰_{R})}_{R > 0}$ with increasing regions of attraction ${(Ω_{R})}_{R > 0}$ is that, when the region of attraction $Ω_{R}$ is large, the convergence of solutions of the closed-loop system to the origin becomes slow. To improve the performance of a semiglobal controller, we look for a new feedback control law that preserves the semiglobal stability of the nonlinear system under consideration and that is...

Dual-terminal event triggered control for cyber-physical systems under false data injection attacks

Zhiwen Wang, Xiangnan Xu, Hongtao Sun, Long Li (2020)

Kybernetika

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This paper deals with the problem of security-based dynamic output feedback control of cyber-physical systems (CPSs) with the dual-terminal event triggered mechanisms (DT-ETM) under false data injection (FDI) attacks. Considering the limited attack energy, FDI attacks taking place in transmission channels are modeled as extra bounded disturbances for the resulting closed-loop system, thus enabling $H_{\infty}$ performance analysis with a suitable $ϱ$ attenuation level. Then two buffers at the controller...

Event-triggered $H_{\infty}$ static output feedback control of discrete time piecewise-affine systems

Zhuyun Xue, Mouquan Shen (2021)

Kybernetika

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This paper is concerned with the problem of $H_{\infty}$ event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closed-loop systems to be asymptotically stable with the prescribed $H_{\infty}$ performance. By utilizing a separation strategy, the static...

Robust PI-D controller design for descriptor systems using regional pole placement and/or $H_{2}$ performance

Vojtech Veselý, Ladislav Körösi (2020)

Kybernetika

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The paper deals with the problem of obtaining a robust PI-D controller design procedure for linear time invariant descriptor uncertain polytopic systems using the regional pole placement and/or $H_{2}$ criterion approach in the form of a quadratic cost function with the state, derivative state and plant input (QSR). In the frame of Lyapunov Linear Matrix Inequality (LMI) regional pole placement approach and/or $H_{2}$ quadratic cost function based on Bellman-Lyapunov equation, the designed novel...

Stability and sensitivity analysis for optimal control problems with control-state constraints

Kazimierz Malanowski

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A family of parameter dependent optimal control problems ${(O)}_{h}$ with smooth data for nonlinear ODEs is considered. The problems are subject to pointwise mixed control-state constraints. It is assumed that, for a reference value h₀ of the parameter, a solution of ${(O)}_{h ₀}$ exists. It is shown that if (i) independence, controllability and coercivity conditions are satisfied at the reference solution, then (ii) for each h from a neighborhood of h₀, a locally unique solution to ${(O)}_{h}$ and the associated Lagrange...

Disturbance observer based integral terminal sliding mode control for permanent magnet synchronous motor system

Junxiao Wang, Fengxiang Wang, Xianbo Wang, Li Yu (2019)

Kybernetika

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This paper presents speed regulation issue of Permanent Magnet Synchronous Motor (PMSM) using a composite integral terminal sliding mode control scheme via a disturbance compensation technique. The PMSM $q$ -axis and $d$ -axis subsystems are firstly transformed into two linear subsystems by using feedback linearization technique, then, integral terminal sliding mode controller and finite-time controller are designed respectively. The proof of finite time stability are given for the PMSM closed-loop...