{"title":"Toward force control of a quadrotor UAV in SE(3)","authors":"Vicente Parra‐Vega, A. Sanchez, Carlos Izaguirre","doi":"10.1109/CDC.2012.6426033","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426033","url":null,"abstract":"Two novel model-free second order sliding mode controllers are proposed for the constrained underactuated position and orientation dynamic model of the quadrotor, i.e., considering contact wrench, based on spring-like contact force model. The main theorem establishes conditions for the closed-loop system to guarantee semi-global exponential and robust tracking of position and admissible contact forces, with zero yaw, by exploiting the solution in SE(3). It is proved an integral sliding mode for all time and for any initial condition at a quaternion-based sliding surface. This yields a causal and analytical computation of desired angular velocity in terms of position control, without involving derivatives of the state. A second theorem is derived for terminal stability with desired finite time convergence. This in turns produces three results, a) a singularity-free representation under proper and easy to meet initialization; b) stable transition from free flying to constrained motion, and c) realization of the virtual position controller due to finite time convergence of angular tracking errors. It is noted that there arises an evident physical limit for force interaction along underactuated directions: the more interaction force along the underactuated axes, the more roll and pitch angles are needed the less thrust that can be produced to sustain the UAV in the air. Comprehensive simulation study is discussed under various flying conditions, and finally, the explicit (active) force control, based on a differential algebraic model, is briefly addressed.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123863069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A random coordinate descent method for large-scale resource allocation problems","authors":"I. Necoara","doi":"10.1109/CDC.2012.6426370","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426370","url":null,"abstract":"In this paper we develop a randomized (block) coordinate descent method for solving singly linear equality constrained optimization problems that appear for example in resource allocation over networks. We show that for strongly convex objective functions the new algorithm has an expected linear convergence rate that depends on the second smallest eigenvalue λ2(Q) of a matrix Q that is defined in terms of the probabilities and the number of blocks. However, the computational complexity per iteration of our method is much simpler than of a method based on full gradient information. We also focus on how to choose the probabilities to make this randomized algorithm to converge as fast as possible and we arrive at solving a sparse SDP. Finally, we present some numerical results for our method that show its efficiency on huge sparse problems.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123918719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Projection-based switched system optimization: Absolute continuity of the line search","authors":"T. Caldwell, T. Murphey","doi":"10.1109/CDC.2012.6426270","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426270","url":null,"abstract":"The line search is considered for the problem of numerical switched system optimization using projection-based techniques. Switched system optimization may be formulated as an infinite dimensional optimal control problem where the switching control design variables are constrained to the integers. Projection-based techniques handle the integer constraint by considering an equivalent problem with unconstrained design variables but where the cost is dependent on the projection of the design variables to the constrained set of feasible switched system trajectories. This paper is concerned with the line search step of the projection-based optimization procedure. The main result provides sufficient conditions on the descent direction so that the update rule is absolutely continuous with respect to the step size.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123949274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Generation of worst-case input signals based on the guaranteed sampling of linear interval predictors with non-held uncertain inputs","authors":"C. Combastel","doi":"10.1109/CDC.2012.6426300","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426300","url":null,"abstract":"This paper deals with the design of experiments for the validation of a class of interval dynamic models. Set-membership algorithms based on interval analysis often allow the computation of guaranteed bounds (e.g. reach tubes, bounds for some estimates) enclosing all the possible scenarios according to some model where uncertainties are specified in a bounded error context. The guarantee of inclusion is very useful to ensure a complete coverage of all the specified scenarios in verification problems (e.g. verification of safety properties). However, such a guarantee and, consequently, the verified properties hold in practice only up to the validity of the considered uncertain model. In addition, the practical validation of dynamic interval models involving bounded uncertain inputs is quite difficult since finding a relevant input excitation leading to some worst-case scenario (e.g. an output reaching its maximum or minimum admissible value at a given time instant) is not a trivial task in general. The current paper proposes a constructive method to generate such worst-case input signals based on the guaranteed sampling of linear interval predictors with non-held uncertain inputs. The results are then illustrated through the example of designing worst-case road profiles to validate the interval model of a quarter vehicle suspension.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"129 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123954792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A real time implementation of MPC based Motion Cueing strategy for driving simulators","authors":"A. Beghi, M. Bruschetta, F. Maran","doi":"10.1109/CDC.2012.6426119","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426119","url":null,"abstract":"Driving simulators are widely used in many different applications, such as driver training, vehicle development, and medical studies. To fully exploit the potential of such devices, it is crucial to develop platform motion control strategies that generate realistic driving feelings. This has to be achieved while keeping the platform within its limited operation space. Such strategies go under the name of motion cueing algorithms. In this paper a particular implementation of a Motion Cueing algorithm is described, that is based on Model Predictive Control technique. A distinctive feature of such approach is that it exploits a detailed model of the human vestibular system, and consequently differs from standard Motion Cueing strategies based on washout filters. The algorithm has been evaluated experimentally on a small-size, innovative platform, by performing tests with professional drivers. Results show that the MPC-based motion cueing algorithm allows to effectively handle the platform working area, to limit the presence of those platform movements that are typically associated to driver motion sickness, and to devise simple and intuitive tuning procedures.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123210234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Adaptive experiment design for ARMAX systems?","authors":"Lirong Huang, H. Hjalmarsson, L. Gerencsér","doi":"10.1109/CDC.2012.6425920","DOIUrl":"https://doi.org/10.1109/CDC.2012.6425920","url":null,"abstract":"A key problem in optimal input design is that the optimal input depends on some unknown system parameters that are to be identified. Adaptive design is one of the fundamental routes to handle this problem. This paper proposes an adaptive input design method for ARMAX systems based on the general stochastic framework outlined in the reference [10].","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123233961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A novel self-triggered sampling scheme in networked control systems","authors":"Chen Peng, Q. Han","doi":"10.1109/CDC.2012.6426577","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426577","url":null,"abstract":"This paper proposes a novel self-triggered sampling scheme for the execution of sampling in networked control systems by taking into consideration network-induced delays and data packet dropouts. Using this scheme, the next sampling period is dynamically obtained with respect to (a) the desired performance; (b) the latest accepted time-stamped control packet; and (c) the allowable communication delay and the maximum allowable number of successive data dropouts. This scheme can adaptively adjust the sampling period to reduce communication loads with maintaining the desired control performance. Compared with some existing ones, this scheme does not require continuous measurement of the system state and on-line estimation of a triggering condition. An inverted pendulum is employed to demonstrate the effectiveness of the proposed scheme.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121204077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
J. Carrasco, Martin Maya-Gonzalez, A. Lanzon, W. Heath
{"title":"LMI search for rational anticausal Zames-Falb multipliers","authors":"J. Carrasco, Martin Maya-Gonzalez, A. Lanzon, W. Heath","doi":"10.1109/CDC.2012.6426868","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426868","url":null,"abstract":"Given a linear time-invariant plant, the search of a suitable multiplier over the class of Zames-Falb multiplier is a challenging problem which has been studied for several decades. Recently, a new linear matrix inequality search has been proposed over rational and causal Zames-Falb multipliers. This paper analyzes the conservatism of the restriction to causality on the multipliers and presents a complementary search for rational and anticausal multipliers.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116267355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Controller compact form dynamic linearization based model free adaptive control","authors":"Yuanming Zhu, Z. Hou","doi":"10.1109/CDC.2012.6426479","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426479","url":null,"abstract":"A new type of model free adaptive control (MFAC) method, by virtue of the compact-form-dynamic-linearization based controller (CFDLc), is presented for a class of discrete time SISO nonlinear systems. The proposed method is a pure data-driven control (DDC) method since the controller is designed using measured I/O data of the controlled plant rather than first principles model of the controlled plant. This method contrast with model-based control method mainly in two fundamental aspects: it is not based on the knowledge of a process model and it intend to make direct use of the information carried by the measured I/O data in order to adjust the numerical parameters of a controller whose structure is derived from the equivalent dynamic linearization data model of an ideal nonlinear controller. Different from the prototype of MFAC, the proposed method uses the dynamic linearization approach both on controller and controlled plant. The stability of the CFDLc-MFAC is guaranteed by rigorous theoretical analysis and the effectiveness is verified by simulation results.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121471982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An optimal regulation strategy for energy management of hybrid electric vehicles","authors":"Balaji Sampathnarayanan, S. Onori, S. Yurkovich","doi":"10.1109/CDC.2012.6426329","DOIUrl":"https://doi.org/10.1109/CDC.2012.6426329","url":null,"abstract":"The issue of designing an analytical optimal solution to the problem of energy management for charge-sustaining hybrid electric vehicles is addressed. In particular, it is shown that, by suitably casting the energy management problem into a nonlinear optimal regulation problem and using an appropriate control Lyapunov function candidate, it can be proved that the state-feedback based optimal control law (with respect to minimum fuel consumption) produces a charge-sustaining behavior. We provide sufficient conditions for state feedback based control law to guarantee asymptotic stability and optimality with respect to an infinite horizon performance functional. The optimal control law is implemented in a series hybrid electric vehicle and the performance of the proposed energy management strategy is shown in simulation for a specific driving case.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121646991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}