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作者：Zhou, Bin; Shi, Yang
作者单位：Harbin Institute of Technology; University of Victoria
摘要：This article studies the problem of prescribed-time global stabilization of a class of nonlinear systems, where the nonlinear functions are unknown but satisfy a linear growth condition. By using solutions to a class of parametric Lyapunov equations containing a time-varying parameter that goes to infinity as the time approaches the prescribed settling time, linear time-varying feedback is designed explicitly to solve the considered problem, with the help of a Lyapunov-like function. It is sho...
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作者：Ohrem, Sveinung Johan; Holden, Christian
作者单位：Norwegian University of Science & Technology (NTNU)
摘要：This article presents an output feedback controller and observer design approach for linear time-invariant systems with unknown dynamics. The presented method uses an open-loop reference model to generate the desired trajectory and a closed-loop reference model as an observer. The controller only uses the observer states. Lyapunov-based stability proofs show that the error states converge asymptotically to zero and that all other signals are uniformly stable. Furthermore, bounds are proven on ...
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作者：Schmidt, Patrick; Osinenko, Pavel; Streif, Stefan
作者单位：Technische Universitat Chemnitz; Technische Universitat Chemnitz; Skolkovo Institute of Science & Technology
摘要：This article is concerned with practical stabilization of nonlinear systems by means of inf-convolution-based sample-and-hold control. It is a fairly general stabilization technique based on a generic nonsmooth control Lyapunov function (CLF) and robust to actuator uncertainty, measurement noise, etc. The stabilization technique itself involves computation of descent directions of the CLF. It turns out that nonexact realization of this computation leads not just to a quantitative, but also qua...
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作者：Wu, Yuanqing; Isidori, Alberto; Lu, Renquan
作者单位：Guangdong University of Technology; Sapienza University Rome
摘要：In this article, we address a problem of output regulation for a broad class of invertible multi-input-multi-output (MIMO) nonlinear systems. The system that we consider is assumed to possess a globally defined normal form, in which appropriate invertibility conditions are fulfilled, and to be strongly minimum phase. Asymptotic output regulation is achieved by means of a controller consisting of a preprocessing internal model and of a robust stabilizer. For the design of the latter, a recently...
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作者：Tian, Yongxiao; Yan, Huaicheng; Zhang, Hao; Zhan, Xisheng; Peng, Yan
作者单位：East China University of Science & Technology; East China University of Science & Technology; Hubei Normal University; Tongji University; Shanghai University
摘要：This article is concerned with the problem of the static output-feedback control for a class of discrete-time linear semi-Markov jump systems (SMJSs). Through a mode-dependent resilient control scheme and an invertible linear transformation, a resulting equivalent closed-loop system can be obtained. The embedded Markov chain (EMC) is piecewise homogeneous, which leads to incomplete semi-Markov kernel is variable in the finite interval. A novel class of multivariate dependent Lyapunov function ...
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作者：Mabrok, Mohamed A.
摘要：In this article, we focus on studying the passivity properties of different versions of replicator dynamics (RD). The RD represents a deterministic monotone nonlinear dynamic, which allows incorporation of the distribution of population types through a fitness function. We use tools for control theory, in particular, the passivity theory, to study the stability of the RD when it is in action with evolutionary games. The passivity theory allows us to identify the class of evolutionary games in ...
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作者：Richter, Hanz; Warner, Holly
作者单位：University System of Ohio; Cleveland State University
摘要：A new approach for trajectory optimization of musculoskeletal dynamic models is introduced. The model combines rigid-body and muscle dynamics described with a Hill-type model driven by neural control inputs. The objective is to find input and state trajectories that are optimal with respect to a minimum-effort objective and meet constraints associated with musculoskeletal models. The measure of effort is given by the integral of pairwise average forces of the agonist-antagonist muscles. The co...
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作者：Verginis, Christos K.; Dimarogonas, Dimos, V
摘要：This article considers the asymptotic tracking control problem for a class of nonlinear systems subject to predefined constraints for the system response, such as maximum overshoot or minimum convergence rate. In particular, by employing discontinuous control protocols and nonsmooth analysis, we extend previous results on funnel control to guarantee at the same time asymptotic trajectory tracking. We consider second-order systems that are affine in the control input, and contain completely unk...
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作者：Huang, Yi-Bo; He, Yong; An, Jianqi; Wu, Min
作者单位：China University of Geosciences
摘要：To derive a less conservative stability criterion via Lyapunov-Krasovskii functional (LKF) method, in previous literature, multiple integral terms are usually introduced into the construction of LKFs. This article generalizes the results of previous literature by proposing a polynomial-type LKF, which contains the LKFs with multiple integral terms as special cases. In addition, a Jacobi-Bessel inequality is presented to bound the derivative of such LKF. As a result, an improved stability crite...
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作者：Wang, Ji; Krstic, Miroslav
作者单位：University of California System; University of California San Diego
摘要：Motivated by an engineering application in brake control of cable mining elevators, where the dynamics consist of a brake, a shock absorber, a time-varying-length cable, and a cage, we address a theoretical problem of control of a particular class of coupled hyperbolic PDEs sandwiched between a nonlinear ODE on the actuated side and a linear ODE on the opposite side, with a PDE domain that is time-varying. A state-feedback controller entering a single ODE state is designed to exponentially sta...
