The trajectory tracking problem is a fundamental control task in the study of mechanical systems. Hamiltonian systems are posed on the cotangent bundle of configuration space of a mechanical system, however, symmetrie...
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The trajectory tracking problem is a fundamental control task in the study of mechanical systems. Hamiltonian systems are posed on the cotangent bundle of configuration space of a mechanical system, however, symmetries for the full cotangent bundle are not commonly used in geometric control theory. In this paper, we propose a group structure on the cotangent bundle of a Lie group and leverage this to define momentum and configuration errors for trajectory tracking, drawing on recent work on equivariant observer design. We show that this error definition leads to error dynamics that are themselves “Euler-Poincare like” and use these to derive simple, almost global trajectory tracking control for fully-actuated Euler-Poincare systems on a Lie group state space.
In this paper, we study the relationship between systemscontrolled via control Barrier Function (CBF) approaches and a class of discontinuous dynamical systems, called Projected Dynamical systems (PDSs). In particula...
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This paper addresses the control synthesis of heterogeneous stochastic linear multi-agent systems with real-time allocation of signal temporal logic (STL) specifications. Based on previous work, we decompose specifica...
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This paper addresses the control synthesis of heterogeneous stochastic linear multi-agent systems with realtime allocation of signal temporal logic (STL) specifications. Based on previous work, we decompose specificat...
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ISBN:
(数字)9798350316339
ISBN:
(纸本)9798350316346
This paper addresses the control synthesis of heterogeneous stochastic linear multi-agent systems with realtime allocation of signal temporal logic (STL) specifications. Based on previous work, we decompose specifications into subspecifications on the individual agent level. To leverage the efficiency of task allocation, a heuristic filter evaluates potential task allocation based on STL robustness, and subsequently, an auctioning algorithm determines the definitive allocation of specifications. Finally, a control strategy is synthesized for each agent-specification pair using tube-based model predictive control (MPC), ensuring provable probabilistic satisfaction. We demonstrate the efficacy of the proposed methods using a multi-shuttle scenario that highlights a promising extension to automated driving applications like vehicle routing.
The interaction effects among individual loops and multiple time delays are the prime reasons for degrading the closed-loop performance of multivariable systems. For highly interacting systems, decouplers are used to ...
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ISBN:
(数字)9798350350821
ISBN:
(纸本)9798350350838
The interaction effects among individual loops and multiple time delays are the prime reasons for degrading the closed-loop performance of multivariable systems. For highly interacting systems, decouplers are used to counteract interaction effects. However, decouplers may not be realizable and even if they are realizable, for high dimensional systems, decoupler elements may be complex. To improve the decoupler realizability, a dead-time compensation (DTC) approach is proposed in this work. The DTC framework can minimise the impact of dead-time on system dynamics. The proposed decoupler is designed based on the dynamic relative gain array (DRGA) to compensate for interaction effects. The DRGA reveals more insights about the coupling effect between a pair of input-output loops. The DRGA elements are used as decoupler elements for the multivariable process. The minimization of both interaction effects and dead-time dynamics can be achieved with the proposed DTC-based decoupling control approach. The simple IM C PI tuning rules are utilized to implement controllers for each loop. The simulation study affirming the proposed method provides better desired closed-loop performance, error indices for nominal and plant model mismatches, and robust stability against plant uncertainty over the popular existing decoupler based approaches.
In this paper, we consider the analysis and control of continuous-time nonlinear systems to ensure universal shifted stability and performance, i.e., stability and performance w.r.t. each forced equilibrium point of t...
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We derive direct data-driven dissipativity analysis methods for Linear Parameter-Varying (LPV) systems using a single sequence of input-scheduling-output data. By means of constructing a semi-definite program subject ...
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In a real Hilbert space setting, we investigate the ergodic convergence properties of the solutions of the classical Arrow-Hurwicz differential system in view of solving linearly constrained convex minimization proble...
In a real Hilbert space setting, we investigate the ergodic convergence properties of the solutions of the classical Arrow-Hurwicz differential system in view of solving linearly constrained convex minimization problems. Under the convexity hypothesis on the objective function of the minimization prob-lem, we recover the fact that every solution of the Arrow-Hur-wicz differential system weakly converges in average towards its asymptotic center. Moreover, it is shown that the primal-dual gap function relative to an averaged solution obeys the asymptotic estimate $\mathcal{O}(1/t)$ as $t\rightarrow+\infty$ . If, in addition, the linear operator associated with the constraint function of the minimization problem is bounded from below, we find that the primal-dual gap function obeys the refined asymptotic estimate $\overline{\mathcal{O}}(1/t^{2})$ as $t\rightarrow+\infty$ . Numerical experiments illustrate our theoretical findings.
3D object detection from LiDAR sensor data is an important topic in the context of autonomous cars and drones. In this paper, we present the results of experiments on the impact of backbone selection of a deep convolu...
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Research on the operation of mobility systems so far has mostly focused on minimizing cost-centered metrics such as average travel time, distance driven, and operational costs. Whilst capturing economic indicators, su...
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